Background Field Method and Generalized Field Redefinitions in Effective Field Theories
High Energy Physics - Theory
2021-02-23 v1 High Energy Physics - Phenomenology
Abstract
We show that in a spontaneously broken effective gauge field theory, quantized in a general background -gauge, also the background fields undergo a non-linear (albeit background-gauge invariant) field redefinition induced by radiative corrections. This redefinition proves to be crucial in order to renormalize the coupling constants of gauge-invariant operators in a gauge-independent way. The classical background-quantum splitting is also in general non-linearly deformed (in a non gauge-invariant way) by radiative corrections. Remarkably, such deformations vanish in the Landau gauge, to all orders in the loop expansion.
Cite
@article{arxiv.2102.10656,
title = {Background Field Method and Generalized Field Redefinitions in Effective Field Theories},
author = {Andrea Quadri},
journal= {arXiv preprint arXiv:2102.10656},
year = {2021}
}
Comments
Latex, 28 pages, one figure