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Background Field Method and Generalized Field Redefinitions in Effective Field Theories

by Andrea Quadri

Submission summary

As Contributors:	Andrea Quadri
Arxiv Link:	https://arxiv.org/abs/2109.12148v1 (pdf)
Date accepted:	2021-12-17
Date submitted:	2021-09-29 17:37
Submitted by:	Quadri, Andrea
Submitted to:	SciPost Physics Proceedings
Proceedings issue:	RADCOR 2021 (15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology)
Academic field:	Physics
Specialties:	High-Energy Physics - Theory High-Energy Physics - Phenomenology
Approach:	Theoretical

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 $R_\xi$-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.

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