English

Background Field Method and Generalized Field Redefinitions in Effective Field Theories

High Energy Physics - Theory 2021-09-28 v1 High Energy Physics - Phenomenology

Abstract

We study the non-linear background field redefinitions arising at the quantum level in a spontaneously broken effective gauge field theory. The non-linear field redefinitions are crucial for the symmetric (i.e. fulfilling all the relevant functional identities of the theory) renormalization of gauge-invariant operators. In a general RξR_\xi-gauge the classical background-quantum splitting is also non-linearly deformed by radiative corrections. In the Landau gauge these deformations vanish to all orders in the loop expansion.

Keywords

Cite

@article{arxiv.2109.12148,
  title  = {Background Field Method and Generalized Field Redefinitions in Effective Field Theories},
  author = {Andrea Quadri},
  journal= {arXiv preprint arXiv:2109.12148},
  year   = {2021}
}

Comments

8 pages. Submitted to the Proceedings of the 15th International Symposium on Radiative Corrections:Applications of Quantum Field Theory to Phenomenology,FSU, Tallahasse, FL, USA, 17-21 May 2021

R2 v1 2026-06-24T06:18:30.859Z