Quench dynamics of topological phases have been studied in the past few years and dynamical topological invariants are formulated in different ways. Yet most of these invariants are limited to minimal systems in which Hamiltonians are expanded by Gamma matrices. Here we generalize the dynamical 3-winding-number in two-band systems into the one in generic multi-band Chern insulators and prove that its value is equal to the difference of Chern numbers between post-quench and pre-quench Hamiltonians. Moreover we obtain an expression of this dynamical 3-winding-number represented by gapless fermions in phase bands depending only on the phase and its projectors, so it is generic for the quench of all multi-band Chern insulators. Besides, we obtain a multifold fermion in the phase band in (k, t) space by quenching a three-band model, which cannot happen for two band models.
{"title":"Loop unitary and phase band topological invariant in generic multi-band Chern insulators","authors":"Xi Wu, Ze Yang, Fuxiang Li","doi":"arxiv-2406.09797","DOIUrl":"https://doi.org/arxiv-2406.09797","url":null,"abstract":"Quench dynamics of topological phases have been studied in the past few years\u0000and dynamical topological invariants are formulated in different ways. Yet most\u0000of these invariants are limited to minimal systems in which Hamiltonians are\u0000expanded by Gamma matrices. Here we generalize the dynamical 3-winding-number\u0000in two-band systems into the one in generic multi-band Chern insulators and\u0000prove that its value is equal to the difference of Chern numbers between\u0000post-quench and pre-quench Hamiltonians. Moreover we obtain an expression of\u0000this dynamical 3-winding-number represented by gapless fermions in phase bands\u0000depending only on the phase and its projectors, so it is generic for the quench\u0000of all multi-band Chern insulators. Besides, we obtain a multifold fermion in\u0000the phase band in (k, t) space by quenching a three-band model, which cannot\u0000happen for two band models.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"79 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141502151","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study the quantum phase transition of the (1+1)-dimensional O(3) nonlinear sigma model at finite density using the tensor renormalization group method. This model suffers from the sign problem, which has prevented us from investigating the properties of the phase transition. We investigate the properties of the phase transition by changing the chemical potential $mu$ at a fixed coupling of $beta$. We determine the transition point $mu_{rm c}$ and the critical exponent $nu$ from the $mu$ dependence of the number density in the thermodynamic limit. The dynamical critical exponent $z$ is also extracted from the scaling behavior of the temporal correlation length as a function of $mu$.
{"title":"Quantum phase transition of (1+1)-dimensional O(3) nonlinear sigma model at finite density with tensor renormalization group","authors":"Xiao Luo, Yoshinobu Kuramashi","doi":"arxiv-2406.08865","DOIUrl":"https://doi.org/arxiv-2406.08865","url":null,"abstract":"We study the quantum phase transition of the (1+1)-dimensional O(3) nonlinear\u0000sigma model at finite density using the tensor renormalization group method.\u0000This model suffers from the sign problem, which has prevented us from\u0000investigating the properties of the phase transition. We investigate the\u0000properties of the phase transition by changing the chemical potential $mu$ at\u0000a fixed coupling of $beta$. We determine the transition point $mu_{rm c}$\u0000and the critical exponent $nu$ from the $mu$ dependence of the number density\u0000in the thermodynamic limit. The dynamical critical exponent $z$ is also\u0000extracted from the scaling behavior of the temporal correlation length as a\u0000function of $mu$.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"2 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141521233","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. Constantinou, M. Costa, H. Herodotou, H. Panagopoulos, G. Spanoudes
We study the renormalization of four-quark operators in one-loop perturbation theory. We employ a coordinate-space Gauge-Invariant Renormalization Scheme (GIRS), which can be advantageous compared to other schemes, especially in nonperturbative lattice investigations. From our perturbative calculations, we extract the conversion factors between GIRS and the modified Minimal Subtraction scheme ($overline{rm MS}$) at the next-to-leading order. A formidable issue in the study of the four-quark operators is that operators with different Dirac matrices mix among themselves upon renormalization. We focus on both parity-conserving and parity-violating four-quark operators, which change flavor numbers by two units ($Delta F = 2$). The extraction of the conversion factors entails the calculation of two-point Green's functions involving products of two four-quark operators, as well as three-point Green's functions with one four-quark and two bilinear operators. The significance of our results lies in their potential to refine our understanding of QCD phenomena, offering insights into the precision of Cabibbo-Kobayashi-Maskawa (CKM) matrix elements and shedding light on the nonperturbative treatment of complex mixing patterns associated with four-quark operators.
我们研究了一环微扰理论中四夸克算子的重正化。我们采用了坐标空间的 "量子不变重正化方案"（GIRS），与其他方案相比，特别是在非微扰晶格研究中，该方案更具优势。从我们的微扰计算中，我们提取了GIRS与修正的最小减法方案（$overline{rm MS}$）在次先导阶的转换因子。四夸克算子研究中的一个难题是，具有不同狄拉克矩阵的算子在重正化时会相互混合。我们的研究重点是奇偶校验保持型和奇偶校验违反型四夸克算子，它们的味道数变化了两个单位（$Delta F = 2$）。转换因子的提取需要计算涉及两个四夸克算子乘积的两点格林函数，以及包含一个四夸克和两个双线性算子的三点格林函数。我们结果的意义在于它们有可能完善我们对 QCD 现象的理解，为卡比波-小林-掩川（CKM）矩阵元素的精确性提供见解，并为与四夸克算子相关的复杂混合模式的非微扰处理提供启示。
{"title":"Gauge-invariant renormalization of four-quark operators in lattice QCD","authors":"M. Constantinou, M. Costa, H. Herodotou, H. Panagopoulos, G. Spanoudes","doi":"arxiv-2406.08065","DOIUrl":"https://doi.org/arxiv-2406.08065","url":null,"abstract":"We study the renormalization of four-quark operators in one-loop perturbation\u0000theory. We employ a coordinate-space Gauge-Invariant Renormalization Scheme\u0000(GIRS), which can be advantageous compared to other schemes, especially in\u0000nonperturbative lattice investigations. From our perturbative calculations, we\u0000extract the conversion factors between GIRS and the modified Minimal\u0000Subtraction scheme ($overline{rm MS}$) at the next-to-leading order. A\u0000formidable issue in the study of the four-quark operators is that operators\u0000with different Dirac matrices mix among themselves upon renormalization. We\u0000focus on both parity-conserving and parity-violating four-quark operators,\u0000which change flavor numbers by two units ($Delta F = 2$). The extraction of\u0000the conversion factors entails the calculation of two-point Green's functions\u0000involving products of two four-quark operators, as well as three-point Green's\u0000functions with one four-quark and two bilinear operators. The significance of\u0000our results lies in their potential to refine our understanding of QCD\u0000phenomena, offering insights into the precision of Cabibbo-Kobayashi-Maskawa\u0000(CKM) matrix elements and shedding light on the nonperturbative treatment of\u0000complex mixing patterns associated with four-quark operators.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"18 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141521234","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Matthias F. M. Lutz, Yonggoo Heo, Renwick J. Hudspith
The baryon masses on CLS ensembles are used to determine the LEC that characterize QCD in the flavor-SU(3) limit with vanishing up, down, and strange quark masses. Here we reevaluate some of the baryon masses on flavor-symmetric ensembles with much-improved statistical precision, in particular for the decuplet states. These additional results then lead to a more significant chiral extrapolation of the Lattice data set to its chiral SU(3) limit. Our results are based on the chiral Lagrangian with baryon octet and decuplet fields considered at the one-loop level. Finite-box and discretization effects of the Lattice data are considered systematically. While in our global fit of the data we insist on large-Nc sum rules for the LEC that enter at N3LO, all other LEC are unconstrained. In particular, we obtain values for the chiral limit of the pion decay constant and the isospin-limit of the quark-mass ratio compatible with the FLAG report.
{"title":"QCD in the chiral SU(3) limit from baryon masses on Lattice QCD ensembles","authors":"Matthias F. M. Lutz, Yonggoo Heo, Renwick J. Hudspith","doi":"arxiv-2406.07442","DOIUrl":"https://doi.org/arxiv-2406.07442","url":null,"abstract":"The baryon masses on CLS ensembles are used to determine the LEC that\u0000characterize QCD in the flavor-SU(3) limit with vanishing up, down, and strange\u0000quark masses. Here we reevaluate some of the baryon masses on flavor-symmetric\u0000ensembles with much-improved statistical precision, in particular for the\u0000decuplet states. These additional results then lead to a more significant\u0000chiral extrapolation of the Lattice data set to its chiral SU(3) limit. Our\u0000results are based on the chiral Lagrangian with baryon octet and decuplet\u0000fields considered at the one-loop level. Finite-box and discretization effects\u0000of the Lattice data are considered systematically. While in our global fit of\u0000the data we insist on large-Nc sum rules for the LEC that enter at N3LO, all\u0000other LEC are unconstrained. In particular, we obtain values for the chiral\u0000limit of the pion decay constant and the isospin-limit of the quark-mass ratio\u0000compatible with the FLAG report.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"36 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141502150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Marco A. Carrillo, Raúl A. Briceño, Alexandru M. Sturzu
The need to determine scattering amplitudes of few-hadron systems for arbitrary kinematics expands a broad set of subfields of modern-day nuclear and hadronic physics. In this work, we expand upon previous explorations on the use of real-time methods, like quantum computing or tensor networks, to determine few-body scattering amplitudes. Such calculations must be performed in a finite Minkowski spacetime, where scattering amplitudes are not well defined. Our previous work presented a conjecture of a systematically improvable estimator for scattering amplitudes constructed from finite-volume correlation functions. Here we provide further evidence that the prescription works for larger kinematic regions than previously explored as well as a broader class of scattering amplitudes. Finally, we devise a new method for estimating the order of magnitude of the error associated with finite time separations needed for such calculations. In units of the lightest mass of the theory, we find that to constrain amplitudes using real-time methods within $mathcal{O}(10%)$, the spacetime volumes must satisfy $mL sim mathcal{O}(10-10^2)$ and $ mTsim mathcal{O}(10^2-10^4)$.
{"title":"Inclusive reactions from finite Minkowski spacetime correlation functions","authors":"Marco A. Carrillo, Raúl A. Briceño, Alexandru M. Sturzu","doi":"arxiv-2406.06877","DOIUrl":"https://doi.org/arxiv-2406.06877","url":null,"abstract":"The need to determine scattering amplitudes of few-hadron systems for\u0000arbitrary kinematics expands a broad set of subfields of modern-day nuclear and\u0000hadronic physics. In this work, we expand upon previous explorations on the use\u0000of real-time methods, like quantum computing or tensor networks, to determine\u0000few-body scattering amplitudes. Such calculations must be performed in a finite\u0000Minkowski spacetime, where scattering amplitudes are not well defined. Our\u0000previous work presented a conjecture of a systematically improvable estimator\u0000for scattering amplitudes constructed from finite-volume correlation functions.\u0000Here we provide further evidence that the prescription works for larger\u0000kinematic regions than previously explored as well as a broader class of\u0000scattering amplitudes. Finally, we devise a new method for estimating the order\u0000of magnitude of the error associated with finite time separations needed for\u0000such calculations. In units of the lightest mass of the theory, we find that to\u0000constrain amplitudes using real-time methods within $mathcal{O}(10%)$, the\u0000spacetime volumes must satisfy $mL sim mathcal{O}(10-10^2)$ and $ mTsim\u0000mathcal{O}(10^2-10^4)$.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141521235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Stochastic Analytic Continuation (SAC) of Quantum Monte Carlo (QMC) imaginary-time correlation function data is a valuable tool in connecting many-body models to experiments. Recent developments of the SAC method have allowed for spectral functions with sharp features, e.g. narrow peaks and divergent edges, to be resolved with unprecedented fidelity. Often times, it is not known what exact sharp features are present a priori, and, due to the ill-posed nature of the analytic continuation problem, multiple spectral representations may be acceptable. In this work, we borrow from the machine learning and statistics literature and implement a cross validation technique to provide an unbiased method to identify the most likely spectrum. We show examples using imaginary-time data generated by QMC simulations and synthetic data generated from artificial spectra. Our procedure, which can be considered a form of "model selection," can be applied to a variety of numerical analytic continuation methods, beyond just SAC.
{"title":"Cross Validation in Stochastic Analytic Continuation","authors":"Gabe Schumm, Sibin Yang, Anders Sandvik","doi":"arxiv-2406.06763","DOIUrl":"https://doi.org/arxiv-2406.06763","url":null,"abstract":"Stochastic Analytic Continuation (SAC) of Quantum Monte Carlo (QMC)\u0000imaginary-time correlation function data is a valuable tool in connecting\u0000many-body models to experiments. Recent developments of the SAC method have\u0000allowed for spectral functions with sharp features, e.g. narrow peaks and\u0000divergent edges, to be resolved with unprecedented fidelity. Often times, it is\u0000not known what exact sharp features are present a priori, and, due to the\u0000ill-posed nature of the analytic continuation problem, multiple spectral\u0000representations may be acceptable. In this work, we borrow from the machine\u0000learning and statistics literature and implement a cross validation technique\u0000to provide an unbiased method to identify the most likely spectrum. We show\u0000examples using imaginary-time data generated by QMC simulations and synthetic\u0000data generated from artificial spectra. Our procedure, which can be considered\u0000a form of \"model selection,\" can be applied to a variety of numerical analytic\u0000continuation methods, beyond just SAC.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"50 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141521236","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Marcel Rodekamp, Evan Berkowitz, Christoph Gäntgen, Stefan Krieg, Thomas Luu, Johann Ostmeyer, Giovanni Pederiva
We present a Hamiltonian Monte Carlo study of doped perylene $mathrm{C}_{20}mathrm{H}_{12}$ described with the Hubbard model. Doped perylene can be used for organic light-emitting diodes (OLEDs) or as acceptor material in organic solar cells. Therefore, central to this study is a scan over charge chemical potential. A variational basis of operators allows for the extraction of the single-particle spectrum through a mostly automatic fitting procedure. Finite chemical potential simulations suffer from a sign problem which we ameliorate through contour deformation. The on-site interaction is kept at $U/kappa = 2$. Discretization effects are handled through a continuum limit extrapolation. Our first-principles calculation shows significant deviation from non-interacting results especially at large chemical potentials.
{"title":"Single Particle Spectrum of Doped $mathrm{C}_{20}mathrm{H}_{12}$-Perylene","authors":"Marcel Rodekamp, Evan Berkowitz, Christoph Gäntgen, Stefan Krieg, Thomas Luu, Johann Ostmeyer, Giovanni Pederiva","doi":"arxiv-2406.06711","DOIUrl":"https://doi.org/arxiv-2406.06711","url":null,"abstract":"We present a Hamiltonian Monte Carlo study of doped perylene\u0000$mathrm{C}_{20}mathrm{H}_{12}$ described with the Hubbard model. Doped\u0000perylene can be used for organic light-emitting diodes (OLEDs) or as acceptor\u0000material in organic solar cells. Therefore, central to this study is a scan\u0000over charge chemical potential. A variational basis of operators allows for the\u0000extraction of the single-particle spectrum through a mostly automatic fitting\u0000procedure. Finite chemical potential simulations suffer from a sign problem\u0000which we ameliorate through contour deformation. The on-site interaction is\u0000kept at $U/kappa = 2$. Discretization effects are handled through a continuum\u0000limit extrapolation. Our first-principles calculation shows significant\u0000deviation from non-interacting results especially at large chemical potentials.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"46 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141531556","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Piotr Białas, Piotr Korcyl, Tomasz Stebel, Dawid Zapolski
We describe a method to estimate R'enyi entanglement entropy of a spin system, which is based on the replica trick and generative neural networks with explicit probability estimation. It can be extended to any spin system or lattice field theory. We demonstrate our method on a one-dimensional quantum Ising spin chain. As the generative model, we use a hierarchy of autoregressive networks, allowing us to simulate up to 32 spins. We calculate the second R'enyi entropy and its derivative and cross-check our results with the numerical evaluation of entropy and results available in the literature.
{"title":"Rényi entanglement entropy of spin chain with Generative Neural Networks","authors":"Piotr Białas, Piotr Korcyl, Tomasz Stebel, Dawid Zapolski","doi":"arxiv-2406.06193","DOIUrl":"https://doi.org/arxiv-2406.06193","url":null,"abstract":"We describe a method to estimate R'enyi entanglement entropy of a spin\u0000system, which is based on the replica trick and generative neural networks with\u0000explicit probability estimation. It can be extended to any spin system or\u0000lattice field theory. We demonstrate our method on a one-dimensional quantum\u0000Ising spin chain. As the generative model, we use a hierarchy of autoregressive\u0000networks, allowing us to simulate up to 32 spins. We calculate the second\u0000R'enyi entropy and its derivative and cross-check our results with the\u0000numerical evaluation of entropy and results available in the literature.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141521237","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We investigate the nucleon self energy through the sixth chiral order in the covariant $SU(2)$ chiral perturbation theory ($chi$PT) in the single baryon sector. The validity of the extended on-mass-shell (EOMS) renormalization scheme is explicitly verified to two-loop order, manifested by the miraculous cancellation of all nonlocal divergences and power-counting-breaking (PCB) terms that are nonanalytic in pion mass. Using the $sigma_{pi N}$ term determined from the latest lattice simulation to constrain some unknown higher-order low energy constants (LECs), we predict the nucleon mass in the chiral limit to be $856.6pm 1.7$ MeV. It is found that the EOMS scheme exhibits quite satisfactory convergence behavior through ${cal O}(q^6)$ around physical point. We also predict the pion mass dependence of the nucleon mass to the accuracy of ${cal O}(q^6)$, which is in satisfactory agreement with the recent lattice results over a wide range of pion mass.
{"title":"Light quark mass dependence of nucleon mass to two-loop order","authors":"Long-Bin Chen, Siwei Hu, Yu Jia, Zhewen Mo","doi":"arxiv-2406.04124","DOIUrl":"https://doi.org/arxiv-2406.04124","url":null,"abstract":"We investigate the nucleon self energy through the sixth chiral order in the\u0000covariant $SU(2)$ chiral perturbation theory ($chi$PT) in the single baryon\u0000sector. The validity of the extended on-mass-shell (EOMS) renormalization\u0000scheme is explicitly verified to two-loop order, manifested by the miraculous\u0000cancellation of all nonlocal divergences and power-counting-breaking (PCB)\u0000terms that are nonanalytic in pion mass. Using the $sigma_{pi N}$ term\u0000determined from the latest lattice simulation to constrain some unknown\u0000higher-order low energy constants (LECs), we predict the nucleon mass in the\u0000chiral limit to be $856.6pm 1.7$ MeV. It is found that the EOMS scheme\u0000exhibits quite satisfactory convergence behavior through ${cal O}(q^6)$ around\u0000physical point. We also predict the pion mass dependence of the nucleon mass to\u0000the accuracy of ${cal O}(q^6)$, which is in satisfactory agreement with the\u0000recent lattice results over a wide range of pion mass.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"37 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141521238","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We present the expansion of stout smearing and the Wilson flow in lattice perturbation theory to order $g_0^3$, which is suitable for one-loop calculations. As the Wilson flow is generated by infinitesimal stout smearing steps, the results are related to each other by taking the appropriate limits. We show how to apply perturbative stout smearing or Wilson flow to the Feynman rules of any lattice fermion action and and illustrate them by calculating the self-energy of the clover-improved Wilson fermion.
{"title":"Stout smearing and Wilson flow in lattice perturbation theory","authors":"Maximilian Ammer, Stephan Durr","doi":"arxiv-2406.03493","DOIUrl":"https://doi.org/arxiv-2406.03493","url":null,"abstract":"We present the expansion of stout smearing and the Wilson flow in lattice\u0000perturbation theory to order $g_0^3$, which is suitable for one-loop\u0000calculations. As the Wilson flow is generated by infinitesimal stout smearing\u0000steps, the results are related to each other by taking the appropriate limits.\u0000We show how to apply perturbative stout smearing or Wilson flow to the Feynman\u0000rules of any lattice fermion action and and illustrate them by calculating the\u0000self-energy of the clover-improved Wilson fermion.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141549766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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