论量子场论中导数相互作用的影响

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2024-12-19 DOI:10.1007/s11005-024-01889-7

Karl-Henning Rehren

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引用次数: 0

摘要

在量子场论中，有几个很好的理由可以解释为什么人们希望在相互作用中加入一个总导数，例如，为了改进微扰结构。与经典场论不同的是，加入导数一般会改变理论。目前对是否以及如何防止这种情况的分析仅限于摄动阶\(g^n\), \(n\le 3\)。我们用全阶公式极大地简化了它，这也允许回答一些突出的结构问题。该方法是一个更大的计划的一部分，该计划通过量子一致性条件（而不是经典的规范不变性原理）来（重新）推导粒子的相互作用。

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On the effect of derivative interactions in quantum field theory

There exist several good reasons why one may wish to add a total derivative to an interaction in quantum field theory, e.g., in order to improve the perturbative construction. Unlike in classical field theory, adding derivatives in general changes the theory. The analysis whether and how this can be prevented is presently limited to perturbative orders \(g^n\), \(n\le 3\). We drastically simplify it by an all-orders formula, which also allows to answer some salient structural questions. The method is part of a larger program to (re)derive interactions of particles by quantum consistency conditions, rather than a classical principle of gauge invariance.

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.