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arXiv · 2109.12148

Background Field Method and Generalized Field Redefinitions in Effective Field Theories

Andrea Quadri
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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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Andrea Quadri. 2021-09-24. Background Field Method and Generalized Field Redefinitions in Effective Field Theories. https://arxiv.org/abs/2109.12148

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