规范理论中的单回路振幅

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

Physical Review D Pub Date : 2025-03-13 DOI:10.1103/physrevd.111.065015

Qu Cao, Jin Dong, Song He, Fan Zhu

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引用次数: 0

摘要

我们提出了在D维中具有任意数量胶子的单环振幅的一个新的“普遍展开”，它适用于在环中具有胶子、费米子和标量的一般规范理论，包括纯和超对称杨-米尔斯理论。它将n-胶子振幅表示为具有n- m胶子和m标量的通用标量环振幅的线性组合，乘以规范不变构建块（为一般规范理论定义）；这些标量环路振幅的积分可以用附加在标量环路上的树级对象来表示，或者用作用于与D成比例的最重要部分的微分算子来表示（m=0）。我们给出了这些单环积分的封闭公式，并通过证明单切割可以通过在正向极限中粘接一对额外的胶子（费米子，标量），加上树振幅中的n个胶子来正确地再现。2025年由美国物理学会出版

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One-loop amplitudes in gauge theories

We propose a new “universal expansion” for one-loop amplitudes with arbitrary number of gluons in D dimensions, which holds for general gauge theories with gluons, fermions, and scalars in the loop, including pure and supersymmetric Yang-Mills theories. It expresses the n-gluon amplitudes as a linear combination of universal scalar-loop amplitudes with n−m gluons and m scalars, multiplied by gauge-invariant building blocks (defined for general gauge theories); the integrands of these scalar-loop amplitudes are given in terms of tree-level objects attached to the scalar loop, or by differential operators acting on the most important part which is proportional to D (with m=0). We present closed-formula for these one-loop integrands and prove them by showing that the single cuts are correctly reproduced by the gluing of an additional pair of gluons (fermions, scalars) in the forward limit, plus n gluons in a tree amplitude.

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.