Do anomalies break the momentum routing invariance?

IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
A.R. Vieira
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引用次数: 0

Abstract

The diagrammatic computation of anomalies is usually associated with the breaking of the momentum routing invariance. This is because the momentum routing is usually chosen to fulfill the desired Ward identity. In the case of the chiral anomaly, the momentum routing is chosen in order to fulfill the gauge Ward identity and break the chiral Ward identity. Although the chiral anomaly is physical because it is associated with the pion decay into two photons, this does not necessarily mean that the momentum routing invariance is broken because the momentum routing was chosen in the computation of the anomaly. The reciprocal is not true, i.e. anomalies do not imply in momentum routing invariance breaking. In this work, we show that if gauge invariance is assumed, the chiral and the scale anomalies are independent of the momentum routing chosen and as a result they are momentum routing invariant. This idea is applied to a QED with non-minimal CPT and Lorentz violation, where momentum routing invariance is used to find out what symmetry is broken in the Ward identities.
异常是否打破了动量路由的不变性?
异常的图解计算通常与动量路由不变性的破坏有关。这是因为通常选择动量路由来实现期望的Ward身份。在手性异常情况下,选择动量路径以满足规范Ward恒等式并打破手性Ward恒等式。虽然手性异常是物理上的,因为它与介子衰变成两个光子有关,但这并不一定意味着动量路径不变性被打破,因为在计算异常时选择了动量路径。倒数是不正确的,即异常并不意味着在动量路由不变性打破。在这项工作中,我们证明了如果假设规范不变性,那么手性和尺度异常与所选择的动量路径无关,因此它们是动量路径不变性的。这一思想被应用于具有非最小CPT和洛伦兹违反的QED,其中动量路由不变性被用来找出Ward恒等式中的对称性被破坏。
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来源期刊
Annals of Physics
Annals of Physics 物理-物理:综合
CiteScore
5.30
自引率
3.30%
发文量
211
审稿时长
47 days
期刊介绍: Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.
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