逐回路贝科夫表示法 - 策略与实施

IF 5.4 1区物理与天体物理 Q1 Physics and Astronomy

Journal of High Energy Physics Pub Date : 2025-04-15 DOI:10.1007/JHEP04(2025)111

Hjalte Frellesvig

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引用次数: 0

摘要

本文讨论了费曼积分的贝科夫表示法的标准变体和逐环变体。贝科夫表示法是一种参数表示法，其显著特点是积分变量是费曼积分的传播者。对于逐环贝科夫表示法，我们详细讨论了如何进行最优参数化的策略，即如何使给定费曼积分必须引入的额外积分变量数量最小化。此外，我们还介绍了一个名为 "BaikovPackage "的 Mathematica 实现，它能够生成标准和逐环的贝科夫表示。我们还讨论了有关贝科夫表示的一些微妙之处和悬而未决的问题。

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The loop-by-loop Baikov representation — Strategies and implementation

In this paper, we discuss the Baikov representation of Feynman integrals in its standard and loop-by-loop variants. The Baikov representation is a parametric representation, which has as its defining feature the fact that the integration variables are the propagators of the Feynman integral. For the loop-by-loop Baikov representation, we discuss in detail a strategy for how to make an optimal parametrization which is one that minimizes the number of extra integration variables that have to be introduced for a given Feynman integral. Furthermore, we present a Mathematica implementation, named BaikovPackage, that is able to generate the Baikov representation in its standard and loop-by-loop varieties. We also discuss some subtleties and open problems regarding Baikov representations.

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来源期刊

Journal of High Energy Physics 物理-物理：粒子与场物理

CiteScore

10.30

自引率

46.30%

发文量

2107

审稿时长

1.5 months

期刊介绍： The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).