Nonrenormalizable theories and finite formulation of QFT

IF 5.3 2区物理与天体物理 Q1 Physics and Astronomy Physical Review D Pub Date : 2025-01-24 DOI:10.1103/physrevd.111.025020

Y. Ageeva, P. Petrov, M. Shaposhnikov

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Abstract

In this paper, we show how the finite formulation of quantum field theory based on Callan-Symanzik equations can be generalized to the case of nonrenormalizable theories. We derive an equation for effective action for an arbitrary single scalar field theory, allowing us to perform computations without running in intermediate divergencies. We illustrate the method with the use of λϕ4+ϕ6/M2 theory by the explicit (and fully finite) calculations of the effective potential as well as two-, four- and six-point correlation functions at one-loop level and demonstrate that no quantum corrections to scalar mass m2, depending on M2 scale, are generated.

Published by the American Physical Society

2025

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QFT的不可重整化理论和有限表述

在本文中，我们展示了基于Callan-Symanzik方程的量子场论的有限公式如何推广到不可重整理论的情况。我们推导了任意单标量场理论的有效作用方程，使我们无需在中间散度中运行即可进行计算。我们通过显式（和完全有限的）计算有效势以及单回路水平的两点、四点和六点相关函数来说明使用λ 4+ 6/M2理论的方法，并证明没有对标量质量M2的量子修正，取决于M2尺度，产生。2025年由美国物理学会出版

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.