Background field method and generalized field redefinitions in effective field theories
Andrea Quadri
SciPost Phys. Proc. 7, 045 (2022) · published 22 June 2022
- doi: 10.21468/SciPostPhysProc.7.045
- Submissions/Reports
Proceedings event
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.