# Background Field Method and Generalized Field Redefinitions in Effective Field Theories

### 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.

###### Current status:
Publication decision taken: accept

Editorial decision: For Journal SciPost Physics Proceedings: Publish
(status: Editorial decision fixed and (if required) accepted by authors)

### Submission & Refereeing History

Submission 2109.12148v1 on 29 September 2021

## Reports on this Submission

### Strengths

The article reports on the work presented at RADCOR/LoopFest 2021. It fulfills all the requirements for publication in SciPost Proceedings.

None.

### Report

The article reports on the work presented at RADCOR/LoopFest 2021. It fulfills all the requirements for publication in SciPost Proceedings and therefore we recommend its publication.

• validity: high
• significance: high
• originality: good
• clarity: high
• formatting: excellent
• grammar: excellent