Schwinger–Dyson truncations in the all-soft limit: a case study

Author:

Aguilar A. C.,Ferreira M. N.,Oliveira B. M.,Papavassiliou J.

Abstract

AbstractWe study a special Schwinger–Dyson equation in the context of a pure SU(3) Yang–Mills theory, formulated in the background field method. Specifically, we consider the corresponding equation for the vertex that governs the interaction of two background gluons with a ghost–antighost pair. By virtue of the background gauge invariance, this vertex satisfies a naive Slavnov–Taylor identity, which is not deformed by the ghost sector of the theory. In the all-soft limit, where all momenta vanish, the form of this vertex may be obtained exactly from the corresponding Ward identity. This special result is subsequently reproduced at the level of the Schwinger–Dyson equation, by making extensive use of Taylor’s theorem and exploiting a plethora of key relations, particular to the background field method. This information permits the determination of the error associated with two distinct truncation schemes, where the potential advantage from employing lattice data for the ghost dressing function is quantitatively assessed.

Publisher

Springer Science and Business Media LLC

Subject

Physics and Astronomy (miscellaneous),Engineering (miscellaneous)

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Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Gauge Sector Dynamics in QCD;Particles;2023-02-15

2. Patterns of gauge symmetry in the background field method;The European Physical Journal C;2023-01-28

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