威尔逊动作的背景相关截止

IF 5.3 2区物理与天体物理 Q1 Physics and Astronomy

Physical Review D Pub Date : 2025-05-09 DOI:10.1103/physrevd.111.105006

Carlo Pagani, Hidenori Sonoda

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引用次数: 0

摘要

研究了背景场方法在精确重整化群（ERG）框架中的应用。通过考虑标量场理论的情况，我们详细讨论了背景相关Wilson作用所满足的性质。我们展示了与威尔逊动作的背景场位移相关的沃德恒等式是如何与1PI威尔逊动作或有效平均动作相关的。此外，我们在无量纲框架下讨论了ERG方程，并强调了Ward恒等式在这种情况下的作用。我们给出了实标量理论的高斯不动点和线性σ模型的大N极限两个例子。2025年由美国物理学会出版

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Background dependent cutoff for Wilson actions

We study the application of the background field method in the framework of the exact renormalization group (ERG). By considering the case of a scalar field theory, we provide a detailed discussion of the properties satisfied by a background dependent Wilson action. We show how the Ward identity associated with background field shifts for the Wilson action is related to that for the 1PI Wilson action, or effective average action. Moreover, we discuss the ERG equations in the dimensionless framework and emphasize the role of the Ward identity in this setting. We give two examples: the Gaussian fixed point for the real scalar theory and the large N limit of the linear sigma model.

Published by the American Physical Society

2025

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来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.