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Constructing a composite Higgs model with built-in large separation of scales 构建一个内置大尺度分离的复合希格斯模型
Pub Date : 2019-12-27 DOI: 10.22323/1.363.0115
O. Witzel, A. Hasenfratz
Experimentally the existence of a light 125 GeV Higgs boson is well established but so far no other heavier resonances have been observed. Viable models to describe the Higgs boson as composite particle require hence to exhibit a large separation of scales. This occurs naturally in systems located near a conformal fixed point irrespective whether the system lies outside or inside the conformal window. We demonstrate the latter case by investigating a mass-split model with four light and six heavy flavors. By construction mass-split models exhibit a large separation of scales and feature in addition a highly constrained hadron spectrum. We present results based on the low-lying connected meson spectrum. Although the light sector is chirally broken, we show that it exhibits hyperscaling which is typical for conformal systems.
在实验上,125gev的轻希格斯玻色子的存在已经得到了很好的证实,但到目前为止还没有观察到其他更重的共振。因此,将希格斯玻色子描述为复合粒子的可行模型需要表现出较大的尺度分离。这在靠近保形不动点的系统中自然发生,而不管该系统是在保形窗口外还是在保形窗口内。我们通过研究具有四种轻口味和六种重口味的质量分裂模型来证明后一种情况。通过构造,质量分裂模型具有较大的尺度分离,并具有高度约束的强子谱。我们给出了基于低洼连接介子谱的结果。虽然光扇区是手性破缺的,但我们表明它表现出典型的共形系统的超尺度。
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引用次数: 2
Topological terms in abelian lattice field theories 阿贝尔格场理论中的拓扑项
Pub Date : 2019-12-25 DOI: 10.22323/1.363.0082
M. Anosova, C. Gattringer, D. Goschl, T. Sulejmanpasic, P. Torek
In this contribution we revisit the lattice discretization of the topological charge for abelian lattice field theories. The construction departs from an initially non-compact discretization of the gauge fields and after absorbing $2pi$ shifts of the gauge fields leads to a generalized Villain action that also includes the topological term. The topological charge in two, as well as in four dimensions can be expressed in terms of only the integer-valued Villain variables. We test various properties of the topological charge and in particular analyze the index theorem in two dimensions and discuss the Witten effect in 4-d. As an application of our formulation we present results from a simulation of the 2-d U(1) gauge Higgs model at vacuum angle $theta = pi$, where we use a suitable worldline/worldsheet representation to overcome the complex action problem at non-zero $theta$.
在这篇贡献中,我们重新审视了阿贝尔晶格场理论中拓扑电荷的晶格离散化。该构造脱离了规范场最初的非紧致离散化,在吸收了规范场的$2pi$位移后,导致了广义的Villain作用,其中也包括拓扑项。二维和四维的拓扑电荷可以只用整数值的Villain变量来表示。我们测试了拓扑电荷的各种性质,特别分析了二维的指标定理,并讨论了四维的威滕效应。作为我们公式的一个应用,我们给出了真空角$theta = pi$下二维U(1)规范希格斯模型的模拟结果,其中我们使用合适的世界线/世界表表示来克服非零$theta$处的复杂作用问题。
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引用次数: 6
Conserved charge fluctuations with smaller-than-physical quark masses 小于物理夸克质量的守恒电荷波动
Pub Date : 2019-12-23 DOI: 10.22323/1.363.0087
M. Sarkar, O. Kaczmarek, F. Karsch, Anirban Lahiri, C. Schmidt
We present results from calculations of conserved charge fluctuations in $(2+1)$-flavor QCD using light quark masses in the range $m_s/80 leq m_l leq m_s/27$, with the strange quark mass ($m_s$) kept fixed at its physical value. This corresponds to a Goldstone pion mass in the range $80$ MeV $leq m_pi leq 140$ MeV. The measurements have been done using HISQ fermion discretization and Symanzik improved gauge action. We discuss the quark mass dependence of up to 6th order cumulants and present first results on the separation of singular and regular contributions to these cumulants. From these results, we examine the nature of the chiral phase transition and the variation of the curvature of the crossover line as we approach the chiral limit.
我们给出了计算$(2+1)$ -flavor QCD中守恒电荷波动的结果,使用范围为$m_s/80 leq m_l leq m_s/27$的轻夸克质量,奇异夸克质量($m_s$)保持在其物理值不变。这相当于Goldstone介子的质量在$80$ MeV $leq m_pi leq 140$ MeV的范围内。测量采用了HISQ费米子离散化和赛门齐克改进的测量动作。我们讨论了高达6阶累积量的夸克质量依赖,并首次给出了这些累积量的奇异贡献和正则贡献分离的结果。从这些结果中,我们研究了手性相变的性质以及当我们接近手性极限时交叉线曲率的变化。
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引用次数: 4
Spectral quantities in thermal QCD: a progress report from the FASTSUM collaboration 热QCD中的光谱量:FASTSUM合作的进展报告
Pub Date : 2019-12-20 DOI: 10.22323/1.363.0075
G. Aarts, C. Allton, J. Glesaaen, S. Hands, B. Jager, Seyong Kim, M. Lombardo, A. Nikolaev, S. Ryan, J. Skullerud, Liangkai Wu
In order to study spectral quantities in thermal QCD, the FASTSUM collaboration employs anisotropic lattice simulations with N_f=2+1 flavours of Wilson fermions. Here we discuss our Generation 2 and Generation 2L ensembles, which differ in the pion mass. The focus is on observables related to the light quarks and chiral symmetry restoration.
为了研究热QCD中的光谱量,FASTSUM合作使用了N_f=2+1 Wilson费米子的各向异性晶格模拟。这里我们讨论介子质量不同的第2代和第2L代系综。重点是与轻夸克和手性对称性恢复有关的观测结果。
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引用次数: 9
An exploratory study of heavy-light semileptonic form factors using distillation 用蒸馏法对重-轻半光子形状因子的探索性研究
Pub Date : 2019-12-16 DOI: 10.22323/1.363.0169
P. Boyle, F. Erben, M. Marshall, F. '. h'Og'ain, A. Portelli, J. Tsang
We present our exploratory study with the aim of simulating heavy-light semileptonic form factors as part of the RBC-UKQCD charm (to bottom) physics programme. We are using a distillation-based setup as a strategy to get optimised plateaus in semileptonic $D_{(s)}$ and $B_{(s)}$ decays, and compare our results to form factors obtained from sequential $Z_2$-Wall propagators. The study is done in a centre-of-mass frame as well as in several moving frames. We use an $N_f=2+1$ domain wall fermion ensemble with a pion mass of $340$ MeV, with the aim of extending the study to a variety of other domain-wall ensembles, including physical-pion mass ensembles.
我们提出了我们的探索性研究,目的是模拟重-轻半光子形状因子,作为RBC-UKQCD魅力(自下而上)物理程序的一部分。我们正在使用基于蒸馏的设置作为策略,以获得半频$D_{(s)}$和$B_{(s)}$衰减的优化平台,并将我们的结果与从顺序$Z_2$-Wall传播器获得的形状因子进行比较。该研究是在一个质心框架以及几个运动框架中进行的。我们使用$N_f=2+1$域壁费米子系综,其介子质量为$340$ MeV,目的是将研究扩展到各种其他域壁系综,包括物理介子质量系综。
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引用次数: 5
Effective thermal potential between static $ Q $ and $bar Q$ in SU(3) gauge theory SU(3)规范理论中静态Q$与bar Q$之间的有效热势
Pub Date : 2019-12-10 DOI: 10.22323/1.363.0164
D. Bala, S. Datta
A non-perturbative calculation of the effective thermal potential between heavy $Q$ and $bar Q$ from lattice QCD is difficult, and usually involves a Bayesian analysis. Here we present a simple method to obtain the potential from smeared Wilson loop, using the structure of the thermal Wilson loop. We present results for the $Q bar Q$ thermal potential in a gluonic plasma for temperatures $lesssim 2 T_c$. We also present preliminary results for the effective potential when the $Q$ and $bar Q$ are in octet color configuration.
从晶格QCD中计算重质$Q$和$bar Q$之间的有效热势是非微扰的,通常涉及贝叶斯分析。本文提出了一种简单的方法,利用热威尔逊环的结构从涂抹威尔逊环中获得电势。我们给出了温度$lesssim 2 T_c$下胶子等离子体$Q bar Q$热势的结果。我们还给出了$Q$和$bar Q$在八元组色结构下的有效电位的初步结果。
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引用次数: 1
The hadronic vacuum polarization of the muon fromfour-flavor lattice QCD 四味晶格QCD中介子的强子真空极化
Pub Date : 2019-12-09 DOI: 10.22323/1.363.0070
C. Davies, C. DeTar, A. El-Khadra, E. G'amiz, S. Gottlieb, D. Hatton, A. Kronfeld, J. Laiho, G. Lepage, Yuzhi Liu, P. Mackenzie, C. McNeile, E. Neil, T. Primer, J. Simone, D. Toussaint, R. V. D. Water, A. Vaquero, Shuhei Yamamoto for the Hpqcd, Fermilab Lattice, Milc Collaborations, U. Glasgow, U. Utah, U. Illinois, Cafpe, U. Granada, U. Indiana, Fermilab, U. Syracuse, U. Cornell, U. Plymouth, U. Colorado, U. Arizona
We present an update on the ongoing calculations by the Fermilab Lattice, HPQCD, and MILC Collaboration of the leading-order (in electromagnetism) hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon. Our project employs ensembles with four flavors of highly improved staggered fermions, physical light-quark masses, and four lattice spacings ranging from $a approx 0.06$ to 0.15 fm for most of the results thus far.
我们提出了Fermilab Lattice, HPQCD和MILC协作正在进行的计算的更新,这些计算是关于(电磁学)强子真空极化对μ子异常磁矩的贡献。到目前为止,我们的项目采用了四种高度改进的交错费米子、物理光夸克质量和四种晶格间距(从$ 0.06$到0.15 fm)的组合,大多数结果都是如此。
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引用次数: 4
Quark confinement in the Yang-Mills theory with a gauge-invariant gluon mass in view of the gauge-invariant BEH mechanism 从量规不变BEH机制看量规不变胶子质量的杨-米尔斯理论中的夸克约束
Pub Date : 2019-12-03 DOI: 10.22323/1.363.0060
A. Shibata, K. Kondo, Ryutaro Matsudo, Shogo Nishino
In order to clarify the mechanism of quark confinement in the Yang-Mills theory with mass gap, we propose to investigate the massive Yang-Mills model, namely, Yang-Mills theory with ``a gauge-invariant gluon mass term'', which is to be deduced from a specific gauge-scalar model with a single radially-fixed scalar field under a suitable constraint called the reduction condition. The gluon mass term simulates the dynamically generated mass to be extracted in the low-energy effective theory of the Yang-Mills theory and plays the role of a new probe to study the phase structure and confinement mechanism. In this talk, we first explain why such a gauge-scalar model is constructed without breaking the gauge symmetry through the gauge-independent description of the Brout-Englert-Higgs mechanism which does not rely on the spontaneous breaking of gauge symmetry. Then we discuss how the numerical simulations for the proposed massive Yang-Mills theory can be performed by taking into account the reduction condition in the complementary gauge-scalar model on a lattice. By using the reweighting method, we have investigated the effect of the gluon mass term to the Wilson loop (the static potential) and the dynamically generated mass. Moreover, we point out that the adjoint case would gives an alternative understanding for the physical meaning of the gauge-covariant decomposition for the Yang-Mills field known as the Cho-Duan-Ge-Faddeev-Niemi decomposition, while the fundamental case would give a novel decomposition which has been overlooked so far.
为了阐明具有质量间隙的Yang-Mills理论中夸克约束的机制,我们提出研究具有“一个标准不变胶子质量项”的质量Yang-Mills模型,即在一个合适的约束条件下,由一个具有单一径向固定标量场的特定标准标量模型推导出的具有“一个标准不变胶子质量项”的Yang-Mills理论。胶子质量项模拟了Yang-Mills理论的低能有效理论中需要提取的动态生成的质量,为研究胶子的相结构和约束机制提供了新的探针。在这次演讲中,我们首先通过对Brout-Englert-Higgs机制的不依赖于规范对称的自发破断的与规范无关的描述来解释为什么这样一个规范-标量模型是在不破坏规范对称的情况下构建的。然后讨论了如何在考虑格上的互补规范-标量模型的约简条件下对所提出的大质量Yang-Mills理论进行数值模拟。利用重加权方法,我们研究了胶子质量项对威尔逊环(静态势)和动态生成质量的影响。此外,我们指出伴随情况将为Yang-Mills场的规范协变分解(称为Cho-Duan-Ge-Faddeev-Niemi分解)的物理意义提供另一种理解,而基本情况将给出迄今为止被忽视的新分解。
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引用次数: 2
Phase transition of four-dimensional Ising model with tensor network scheme 基于张量网络方案的四维Ising模型相变
Pub Date : 2019-11-29 DOI: 10.22323/1.363.0138
S. Akiyama, Y. Kuramashi, Takumi Yamashita, Yusuke Yoshimura
We investigate the phase transition of the four-dimensional Ising model with two types of tensor network scheme, one is the higher-order tensor renormalization group and the other is the anisotropic tensor renormalization group. The results for the internal energy and magnetization obtained by the former algorithm with the impure tensor method, enlarging the lattice volume up to $1024^4$, are consistent with the weak first-order phase transition. For the later algorithm, our implementation successfully reduces the execution time thanks to the parallel computation and the results provided by ATRG seems comparable to those with HOTRG.
我们研究了两种张量网络方案下的四维Ising模型的相变,一种是高阶张量重整化群,另一种是各向异性张量重整化群。采用非纯张量法,将晶格体积增大到1024^4$,得到的内能和磁化强度的结果与弱一阶相变相一致。对于后一种算法,由于并行计算,我们的实现成功地减少了执行时间,并且ATRG提供的结果似乎与HOTRG相当。
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引用次数: 11
Evading the model sign problem in the PNJL model with repulsive vector-type interaction via path optimization 利用路径优化方法规避了具有排斥矢量型相互作用的PNJL模型中的模型符号问题
Pub Date : 2019-11-27 DOI: 10.22323/1.363.0213
A. Ohnishi, Y. Mori, K. Kashiwa
We discuss the sign problem in the Polyakov loop extended Nambu--Jona-Lasinio model with repulsive vector-type interaction by using the path optimization method. In this model, both of the Polyakov loop and the vector-type interaction cause the model sign problem, and several prescriptions have been utilized even in the mean field treatment. In the path optimization method, integration variables are complexified and the integration path (manifold) is optimized to evade the sign problem, or equivalently to enhance the average phase factor. Within the homogeneous field ansatz, the path is optimized by using the feedforward neural network. We find that the assumptions adopted in previous works, $mathrm{Re},A_8 simeq 0$ and $mathrm{Re},omega simeq 0$, can be justified from the Monte-Carlo configurations sampled on the optimized path. We also derive the Euler-Lagrange equation for the optimal path to satisfy. The two optimized paths, the solution of the Euler-Lagrange equation and the variationally optimized path, agree with each other in the region with large statistical weight.
利用路径优化方法讨论了具有排斥矢量型相互作用的Polyakov环扩展Nambu—Jona-Lasinio模型中的符号问题。在该模型中,Polyakov环和矢量型相互作用都会引起模型符号问题,并且在平均场处理中也使用了几种处方。在路径优化方法中,对积分变量进行复化,对积分路径(流形)进行优化,以避免符号问题,即提高平均相位因子。在均匀场分析范围内,采用前馈神经网络对路径进行优化。我们发现在之前的工作中采用的假设$mathrm{Re},A_8 simeq 0$和$mathrm{Re},omega simeq 0$可以通过在优化路径上采样的蒙特卡罗构型来证明。并推导出最优路径的欧拉-拉格朗日方程。在统计权值较大的区域,Euler-Lagrange方程的解和变分优化路径是一致的。
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引用次数: 1
期刊
arXiv: High Energy Physics - Lattice
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