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Scalar exotic mesons bb c ¯ ... 标量奇异介子 bb c ¯ ...
IF 3.5 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2024-09-17 DOI: 10.1088/1361-6471/ad75ac
S S Agaev, K Azizi, B Barsbay and H Sundu
Properties of doubly charged scalar tetraquarks are investigated in the framework of the Quantum Chromodynamic (QCD) sum rule method. We model them as diquark–antidiquark states X1 and X2 built of axial-vector and pseudoscalar diquarks, respectively. The masses and current couplings of these particles are computed using the QCD two-point sum rule method. Results m1 = (12715 ± 80) MeV and m2 = (13370 ± 95) MeV obtained for the masses of these particles are used to determine their kinematically allowed decay modes. The full width Γ1 of the state X1 is evaluated by taking into account its strong decays to mesons , and . The processes , and are employed to estimate Γ2. Predictions obtained for the full widths Γ1 = (63 ± 12) MeV and Γ2 = (79 ± 14) MeV of these structures and their masses may be utilized in experimental studies of fully heavy resonances.
我们在量子色动力学(QCD)和则方法的框架内研究了双电荷标量四夸克的性质。我们把它们分别建模为由轴向矢量和伪标量二夸克构成的二夸克-反二夸克态 X1 和 X2。我们用 QCD 两点和规则方法计算了这些粒子的质量和电流耦合。这些粒子质量的计算结果 m1 = (12715 ± 80) MeV 和 m2 = (13370 ± 95) MeV 被用来确定它们在运动学上允许的衰变模式。考虑到 X1 状态与介子 、 和 的强衰变,对其全宽Γ1 进行了评估。利用 、 和 过程来估算 Γ2。对这些结构的全宽 Γ1 = (63 ± 12) MeV 和 Γ2 = (79 ± 14) MeV 及其质量的预测可用于全重共振的实验研究。
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引用次数: 0
Photoproduction of the X(3872) beyond vector meson dominance: the open-charm coupled-channel mechanism 超越矢量介子主导地位的 X(3872)光生成:开粲耦合通道机制
IF 3.5 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2024-09-08 DOI: 10.1088/1361-6471/ad6fbc
Xiong-Hui Cao, Meng-Lin Du and Feng-Kun Guo
Hidden-charm exotic hadrons will be searched for and investigated at future electron–ion colliders. For instance, the X(3872) can be produced through the exclusive process γp → X(3872)p. The vector meson dominance model has been commonly employed in estimating the cross sections of such processes. However, the coupled-channel production mechanism through open-charm meson-baryon intermediate states may play a crucial role. To assess the significance of such contributions, we estimate the cross section of the γp → X(3872)p reaction assuming the coupled-channel mechanism. For energies near the threshold, the total cross section is predicted to be of tens of nanobarns for γp → X(3872)p, which can be measured at future experimental facilities. Furthermore, the open-charm coupled-channel mechanism leads to a distinct line shape of the total cross section that can be utilized to reveal the production dynamics.
未来的电子-离子对撞机将寻找和研究隐蔽的奇异强子。例如,X(3872)可以通过γp → X(3872)p的排他性过程产生。在估算这类过程的截面时,通常采用矢量介子优势模型。然而,通过开谐介子-重子中间态的耦合信道产生机制可能起着至关重要的作用。为了评估这种贡献的重要性,我们假定耦合信道机制来估计γp → X(3872)p反应的截面。在能量接近阈值时,预测γp → X(3872)p的总截面为数十纳巴,这可以在未来的实验设施中测量到。此外,开粲耦合沟道机制导致了总截面的独特线形,可用于揭示产生动力学。
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引用次数: 0
Fermion condensates induced by axial interactions and cosmological implications 轴向相互作用诱发的费米子凝聚态及其宇宙学意义
IF 3.5 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2024-09-04 DOI: 10.1088/1361-6471/ad704a
A Capolupo, A Quaranta
We reveal the presence of a new source of axial current due to the condensed vacuum generated by the spin–spin interaction. To show this, we consider a quartic Dirac Lagrangian containing a spin–spin interaction term, possibly originating from torsion in Einstein–Cartan-like theories. We use a mean field approach to analyze the quantized theory. We show that the diagonalization of the field Hamiltonian defines a new vacuum state, energetically favored with respect to the free vacuum. Such a vacuum, which is a condensate of particle-antiparticle pairs, is characterized by a nontrivial expectation value of the axial current operator. The new source of axial current, here obtained, can have effects both at the atomic level and at the astrophysical–cosmological level depending on the origin of the spin–spin interaction term. The condensate spontaneously breaks Lorentz symmetry, therefore it implies the possibility of CPT violation in the early universe. Furthermore the condensate induces a new source term in the gravitational field equations and may affect the dark sector of the Universe at cosmological level.
我们揭示了由自旋-自旋相互作用产生的凝聚真空所导致的轴电流的新来源。为了证明这一点,我们考虑了一个包含自旋-自旋相互作用项的四元狄拉克拉格朗日,它可能源于爱因斯坦-卡坦类理论中的扭转。我们使用均值场方法来分析量子化理论。我们证明,场哈密顿的对角化定义了一种新的真空状态,相对于自由真空而言,它在能量上更有利。这种真空是粒子对-反粒子对的凝聚态,其特征是轴流算子的期望值并非微不足道。根据自旋-自旋相互作用项的起源,这里获得的新轴流源可以在原子层面和天体物理学-宇宙学层面产生影响。凝聚态自发地打破了洛伦兹对称性,因此它意味着早期宇宙中存在违反 CPT 的可能性。此外,凝聚态还在引力场方程中诱发了一个新的源项,并可能在宇宙学层面上影响宇宙的暗部。
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引用次数: 0
Low-lying excited states in 62Ge investigated by multinucleon knock-out reaction 通过多核子敲除反应研究 62Ge 中的低洼激发态
IF 3.5 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2024-09-04 DOI: 10.1088/1361-6471/ad6fbd
Z Elekes, V Panin, T R Rodríguez, K Sieja, D S Ahn, A Al-Adili, H Baba, A I Stefanescu, K J Cook, Cs Dósa, N Fukuda, J Gao, J Gibelin, K I Hahn, Z Halász, S W Huang, T Isobe, M M Juhász, D Kim, T Kobayashi, Y Kondo, Z Korkulu, A Kurihara, I Kuti, H Miki, K Miki, T Motobayashi, H Otsu, A Saastamoinen, M Sasano, H Sato, N H Shadhin, T Shimada, Y Shimizu, I C Stefanescu, L Stuhl, H Suzuki, H Takeda, Y Togano, T Tomai, L Trache, D Tudor, T Uesaka, Y Utsuki, H Wang, A Yasuda, K Yoneda, Y Yoshitome
The low-energy states of the proton-rich nucleus 62Ge were studied by the multinucleon knock-out reaction 67Se(12C,X)62Ge using a 12C target. The analysis of the Doppler-corrected singles spectrum of the γ rays showed two transitions at 744(20) keV and 948(17) keV, which were found to be in coincidence with each other, forming a cascade and establishing two states at 948(17) keV and 1692(26) keV. The 744 keV transition was detected for the first time, and based on a comparison of the experimental data to shell-model and symmetry-conserving-configuration-mixing-model calculations, it connects the second and first 2+ levels. The beyond-mean-field model suggests that these states belong to two different bands with triaxial features and similar deformation.
利用 12C 靶件,通过多核敲除反应 67Se(12C,X)62Ge 研究了富质子核 62Ge 的低能态。对 γ 射线的多普勒校正单谱分析表明,在 744(20) keV 和 948(17) keV 有两个跃迁,这两个跃迁相互重合,形成级联,并在 948(17) keV 和 1692(26) keV 建立了两个态。根据实验数据与壳模型和对称守恒配置混合模型计算结果的比较,首次探测到了 744 keV 的转变,它连接了第二和第一个 2+ 水平。超越均场模型表明,这些态属于两个不同的带,具有三轴特征和相似的变形。
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引用次数: 0
Status and future directions for direct cross-section measurements of the 13C(a,n)16O reaction for astrophysics 用于天体物理学的 13C(a,n)16O 反应直接截面测量的现状和未来方向
IF 3.5 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2024-08-29 DOI: 10.1088/1361-6471/ad6a2a
L Csedreki, Gy Gyürky, D Rapagnani, G F Ciani, M Aliotta, C Ananna, L Barbieri, F Barile, D Bemmerer, A Best, A Boeltzig, C Broggini, C G Bruno, A Caciolli, F Casaburo, F Cavanna, P Colombetti, A Compagnucci, P Corvisiero, T Davinson, R Depalo, A Di Leva, Z Elekes, F Ferraro, A Formicola, Zs Fülöp, G Gervino, A Guglielmetti, C Gustavino, G Imbriani, M Junker, M Lugaro, P Marigo, J Marsh, E Masha, R Menegazzo, V Paticchio, R Perrino, D Piatti, P Prati, D Robb, L Schiavulli, R S Sidhu, J Skowronski, O Straniero, T Szücs, S Zavatarelli
The 13C(α,n)16O reaction is the main neutron source of the s-process taking place in thermally pulsing AGB stars and it is one of the main candidate sources of neutrons for the i-process in the astrophysical sites proposed so far. Therefore, its rate is crucial to understand the production of the nuclei heavier than iron in the Universe. For the first time, the LUNA collaboration was able to measure the 13C(α,n)16O cross section at Ec.m. = 0.23−0.3 MeV drastically reducing the uncertainty of the S(E)-factor in the astrophysically relevant energy range. In this paper, we provide details and critical thoughts about the LUNA measurement and compare them with the current understanding of the 13C(α,n)16O reaction in view of future prospect for higher energy measurements. The two very recent results (from the University of Notre Dame and the JUNA collaboration) published after the LUNA data represent an important step forward. There is, however, still room for a lot of improvement in the experimental study of the 13C(α,n)16O reaction, as emphasized in the present manuscript. We conclude that to provide significantly better constraints on the low-energy extrapolation, experimental data need to be provided over a wide energy range, which overlaps with the energy range of current measurements. Furthermore, future experiments need to focus on the proper target characterisation, the determination of neutron detection efficiency having more nuclear physics input, such as angular distribution of the 13C(α,n)16O reaction below Eα < 0.8 MeV and study of nuclear properties of monoenergetic neutron sources and/or via the study of sharp resonances of 13C(α,n)16O. Moreover, comprehensive, multichannel R-matrix analysis with a proper estimate of uncertainty budget of experimental data are still required.
13C(α,n)16O反应是发生在热脉动AGB恒星中的s过程的主要中子源,也是迄今为止提出的天体物理场所中i过程的主要候选中子源之一。因此,它的速率对于了解宇宙中比铁更重的原子核的产生至关重要。LUNA 合作小组首次测量了 Ec.m. = 0.23-0.3 MeV 的 13C(α,n)16O 截面,大大降低了天体物理学相关能量范围内 S(E) 因子的不确定性。在本文中,我们提供了有关 LUNA 测量的细节和批判性思考,并将其与目前对 13C(α,n)16O反应的理解进行了比较,以展望未来更高能量测量的前景。在 LUNA 数据之后发表的两个最新结果(来自圣母大学和 JUNA 合作组织)代表了向前迈出的重要一步。然而,正如本手稿所强调的,13C(α,n)16O 反应的实验研究仍有很大的改进空间。我们的结论是,要想对低能外推法提供明显更好的约束,需要提供宽能量范围的实验数据,这与当前测量的能量范围是重叠的。此外,未来的实验还需要关注正确的目标特征描述,确定中子探测效率和更多的核物理输入,如 Eα < 0.8 MeV 以下 13C(α,n)16O 反应的角度分布,以及研究单能量中子源的核特性和/或通过研究 13C(α,n)16O 的尖锐共振。此外,还需要进行全面的多通道 R 矩阵分析,并对实验数据的不确定性预算进行适当估算。
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引用次数: 0
Ground state properties and bubble structure of the isotopic chains of Z = 125 and 126 using the relativistic mean-field formalism 利用相对论均场形式主义研究 Z = 125 和 126 同位素链的基态性质和气泡结构
IF 3.5 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2024-08-27 DOI: 10.1088/1361-6471/ad6c66
S Priyanka, A Chauhan, M S Mehta, M Bhuyan
The ground state properties of Z = 125 and 126 nuclei are investigated, taking the isotopic series from the proton to neutron drip-lines. This analysis uses the relativistic mean-field approach with NL3 and the Relativistic-Hartree–Bogoliubov model with DD-ME2 parameterization. The bulk properties under examination include the binding energy per nucleon, the neutron separation energies, the differential variation of the separation energy, the quadrupole deformation parameter β2, and the single-particle energy. We observed the stability at N = 172 and 184 over the isotopic chain for both parameter sets. The quadrupole deformation parameter reveals a shape transition from prolate to spherical and back to prolate with mass number. No signature of a super- and/or hyper-deformed structure is found over the isotopic chain. Furthermore, the analysis is extended to examine the bubble structure, revealing a bubble/semi-bubble structure for a few neutron-rich isotopes.
研究了 Z = 125 和 126 原子核的基态性质,从质子到中子滴线的同位素序列。分析采用了带有 NL3 的相对论均场方法和带有 DD-ME2 参数化的相对论-哈特里-波哥留布夫模型。所研究的体特性包括每个核子的结合能、中子分离能、分离能的微分变化、四极变形参数β2和单粒子能。我们观察到在 N = 172 和 184 时,两组参数在同位素链上的稳定性。四极子形变参数显示出随着质量数的增加,形状从凸形过渡到球形,再返回到凸形。在同位素链上没有发现超变形和/或超变形结构的特征。此外,分析还扩展到了对气泡结构的研究,揭示了少数富中子同位素的气泡/半气泡结构。
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引用次数: 0
Applications of emulation and Bayesian methods in heavy-ion physics 重离子物理学中模拟和贝叶斯方法的应用
IF 3.5 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2024-08-27 DOI: 10.1088/1361-6471/ad6a2b
Jean-François Paquet
Heavy-ion collisions provide a window into the properties of many-body systems of deconfined quarks and gluons. Understanding the collective properties of quarks and gluons is possible by comparing models of heavy-ion collisions to measurements of the distribution of particles produced at the end of the collisions. These model-to-data comparisons are extremely challenging, however, because of the complexity of the models, the large amount of experimental data, and their uncertainties. Bayesian inference provides a rigorous statistical framework to constrain the properties of nuclear matter by systematically comparing models and measurements. This review covers model emulation and Bayesian methods as applied to model-to-data comparisons in heavy-ion collisions. Replacing the model outputs (observables) with Gaussian process emulators is key to the Bayesian approach currently used in the field, and both current uses of emulators and related recent developments are reviewed. The general principles of Bayesian inference are then discussed along with other Bayesian methods, followed by a systematic comparison of seven recent Bayesian analyses that studied quark-gluon plasma properties, such as the shear and bulk viscosities. The latter comparison is used to illustrate sources of differences in analyses, and what it can teach us for future studies.
重离子碰撞提供了一个了解去夸克和胶子多体系统特性的窗口。通过将重离子碰撞模型与碰撞结束时产生的粒子分布测量结果进行比较,可以了解夸克和胶子的集体特性。然而,由于模型的复杂性、大量实验数据及其不确定性,这些模型与数据的比较极具挑战性。贝叶斯推理提供了一个严格的统计框架,通过系统地比较模型和测量结果来约束核物质的特性。本综述涉及重离子碰撞中应用于模型与数据比较的模型模拟和贝叶斯方法。用高斯过程仿真器代替模型输出(观测值)是该领域目前使用的贝叶斯方法的关键,本文对仿真器的当前用途和相关的最新发展进行了综述。然后讨论了贝叶斯推理的一般原理和其他贝叶斯方法,接着对最近研究夸克-胶子等离子体特性(如剪切粘度和体积粘度)的七种贝叶斯分析进行了系统比较。后一项比较用于说明分析差异的来源,以及对我们未来研究的启示。
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引用次数: 0
Extended Fayans energy density functional: optimization and analysis 扩展法扬能量密度函数:优化与分析
IF 3.5 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2024-08-21 DOI: 10.1088/1361-6471/ad633a
Paul-Gerhard Reinhard, Jared O’Neal, Stefan M Wild, Witold Nazarewicz
The Fayans energy density functional (EDF) has been very successful in describing global nuclear properties (binding energies, charge radii, and especially differences of radii) within nuclear density functional theory. In a recent study, supervised machine learning methods were used to calibrate the Fayans EDF. Building on this experience, in this work we explore the effect of adding isovector pairing terms, which are responsible for different proton and neutron pairing fields, by comparing a 13D model without the isovector pairing term against the extended 14D model. At the heart of the calibration is a carefully selected heterogeneous dataset of experimental observables representing ground-state properties of spherical even–even nuclei. To quantify the impact of the calibration dataset on model parameters and the importance of the new terms, we carry out advanced sensitivity and correlation analysis on both models. The extension to 14D improves the overall quality of the model by about 30%. The enhanced degrees of freedom of the 14D model reduce correlations between model parameters and enhance sensitivity.
在核密度泛函理论中,法扬能量密度函数(EDF)在描述全局核特性(结合能、电荷半径,尤其是半径差异)方面一直非常成功。在最近的一项研究中,使用了有监督的机器学习方法来校准 Fayans 能量密度函数。在这一经验的基础上,我们在这项工作中通过比较不包含等矢量配对项的 13D 模型和扩展的 14D 模型,探索了添加等矢量配对项的效果,等矢量配对项是质子和中子配对场不同的原因。校准的核心是一个精心挑选的异质实验观测数据集,它代表了球状偶偶数原子核的基态特性。为了量化校准数据集对模型参数的影响以及新项的重要性,我们对两个模型都进行了高级灵敏度和相关性分析。扩展到 14D 后,模型的整体质量提高了约 30%。14D 模型自由度的增强降低了模型参数之间的相关性,提高了灵敏度。
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引用次数: 0
Neutron–antineutron oscillation accompanied by CP-violation in magnetic fields 磁场中伴随 CP 破坏的中子-泛中子振荡
IF 3.5 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2024-08-21 DOI: 10.1088/1361-6471/ad66ef
Yongliang Hao, Kamphamba Sokalao Nyirenda, Zhenwei Chen
In this work, we explore the possibility of the <italic toggle="yes">n</italic>–<inline-formula><tex-math><?CDATA $bar{n}$?></tex-math><mml:math overflow="scroll"><mml:mover accent="true"><mml:mrow><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mo>¯</mml:mo></mml:mrow></mml:mover></mml:math><inline-graphic xlink:href="jpgad66efieqn1.gif" xlink:type="simple"></inline-graphic></inline-formula> oscillation accompanied by CP-violation in the presence of magnetic fields. The <italic toggle="yes">n</italic>–<inline-formula><tex-math><?CDATA $bar{n}$?></tex-math><mml:math overflow="scroll"><mml:mover accent="true"><mml:mrow><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mo>¯</mml:mo></mml:mrow></mml:mover></mml:math><inline-graphic xlink:href="jpgad66efieqn2.gif" xlink:type="simple"></inline-graphic></inline-formula> oscillation, which violates the baryon number (<inline-formula><tex-math><?CDATA ${ mathcal B }$?></tex-math><mml:math overflow="scroll"><mml:mi mathvariant="script">B</mml:mi></mml:math><inline-graphic xlink:href="jpgad66efieqn3.gif" xlink:type="simple"></inline-graphic></inline-formula>) by two units (<inline-formula><tex-math><?CDATA $| {rm{Delta }}{ mathcal B }| =2$?></tex-math><mml:math overflow="scroll"><mml:mo stretchy="false">∣</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="script">B</mml:mi><mml:mo stretchy="false">∣</mml:mo><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math><inline-graphic xlink:href="jpgad66efieqn4.gif" xlink:type="simple"></inline-graphic></inline-formula>), can originate from the mixing between the neutron (<italic toggle="yes">n</italic>) and the neutral elementary particle (<italic toggle="yes">η</italic>) and may give rise to non-trivial physical consequences that can be testable in future experiments. We show that the probability of the <italic toggle="yes">n</italic>–<inline-formula><tex-math><?CDATA $bar{n}$?></tex-math><mml:math overflow="scroll"><mml:mover accent="true"><mml:mrow><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mo>¯</mml:mo></mml:mrow></mml:mover></mml:math><inline-graphic xlink:href="jpgad66efieqn5.gif" xlink:type="simple"></inline-graphic></inline-formula> oscillation can be greatly enhanced by properly adjusting the magnetic field. In particular, the peak values of the oscillation probability in the presence of resonance magnetic fields can be 8–10 orders of magnitude higher than that in the absence of magnetic fields. We point out that there might not be sizable CP-violating effects in the <italic toggle="yes">n</italic>–<inline-formula><tex-math><?CDATA $bar{n}$?></tex-math><mml:math overflow="scroll"><mml:mover accent="true"><mml:mrow><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mo>¯</mml:mo></mml:mrow></mml:mover></mml:math><inline-graphic xlink:href="jpgad66efieqn6.gif" xlink:type="simple"></inline-graphic></inline-formula> oscillation unless the mass of <italic toggle="yes">η</italic> is close to the mass of the neutron. We also analyze
在这项工作中,我们探讨了在磁场存在的情况下,n-n¯振荡伴随着CP违反的可能性。n-n'振荡违反了重子数(B)的两个单位(∣ΔB∣=2),它可能源于中子(n)和中性基本粒子(η)之间的混合,并可能引起非微妙的物理后果,这些后果可以在未来的实验中得到检验。我们的研究表明,通过适当调整磁场,n-n¯振荡的概率可以大大提高。特别是,在存在共振磁场的情况下,振荡概率的峰值可以比没有磁场时高 8-10 个数量级。我们指出,除非η的质量接近中子的质量,否则n-n¯振荡中可能不会有相当大的违反CP效应。我们还分析了与 B-violation 和 CP-violation 相关的各种参数之间的相互作用,并试图厘清这些参数的影响。伴随着 CP-violation 的 n-n¯ 振荡过程可能为探索标准模型(SM)之外的新物理开辟了一条大有可为的途径。
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引用次数: 0
Ward identities in a two-dimensional gravitational model: anomalous amplitude revisited using a completely regularization-independent mathematical strategy 二维引力模型中的沃德特性:利用完全正则化无关的数学策略重新审视反常振幅
IF 3.5 3区 物理与天体物理 Q2 PHYSICS, NUCLEAR Pub Date : 2024-08-13 DOI: 10.1088/1361-6471/ad66ed
G Dallabona, P G de Oliveira, O A Battistel
We present a detailed investigation of the anomalous gravitational amplitude in a simple two-dimensional model with Weyl fermions. We employ a mathematical strategy that completely avoids any regularization prescription for handling divergent perturbative amplitudes. This strategy relies solely on the validity of the linearity of the integration operation and avoids modifying the amplitudes during intermediate calculations, unlike studies using regularization methods. Additionally, we adopt arbitrary routings for internal loop momenta, representing the most general analysis scenario. As expected, we show that surface terms play a crucial role in both preserving the symmetry properties of the amplitude and ensuring the mathematical consistency of the results. Notably, our final perturbative amplitude can be converted into the form obtained using any specific regularization prescription. We consider three common scenarios, one of which recovers the traditional results for gravitational anomalies. However, we demonstrate that this scenario inevitably breaks the linearity of integration, leading to an undesirable mathematical situation. This clean and transparent conclusion, enabled by the general nature of our strategy, would not be apparent in similar studies using regularization techniques.
我们详细研究了一个具有韦尔费米子的简单二维模型中的反常引力振幅。我们采用了一种数学策略,完全避免了处理发散微扰振幅的正则化处方。与使用正则化方法的研究不同,这种策略完全依赖于积分运算线性的有效性,避免了在中间计算过程中修改振幅。此外,我们还采用了任意的内环矩路由,代表了最一般的分析方案。不出所料,我们的结果表明,表面项在保持振幅的对称性和确保结果的数学一致性方面起着至关重要的作用。值得注意的是,我们的最终扰动振幅可以转换成使用任何特定正则化处方得到的形式。我们考虑了三种常见情况,其中一种恢复了引力异常的传统结果。然而,我们证明这种情况不可避免地破坏了积分的线性,导致了不理想的数学状况。由于我们的策略具有普遍性,因此得出的结论简洁而透明,这在使用正则化技术的类似研究中是不明显的。
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Journal of Physics G: Nuclear and Particle Physics
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