Off-shell renormalization in the presence of dimension 6 derivative operators. I. General theory
Abstract
The consistent recursive subtraction of UV divergences order by order in the loop expansion for spontaneously broken effective field theories with dimension-6 derivative operators is presented for an Abelian gauge group. We solve the Slavnov-Taylor identity to all orders in the loop expansion by homotopy techniques and a suitable choice of invariant field coordinates (named bleached variables) for the linearly realized gauge group. This allows one to disentangle the gauge-invariant contributions to off-shell 1-PI amplitudes from those associated with the gauge-fixing and (generalized) non-polynomial field redefinitions (that do appear already at one loop). The tools presented can be easily generalized to the non-Abelian case.
Keywords
Cite
@article{arxiv.1904.06692,
title = {Off-shell renormalization in the presence of dimension 6 derivative operators. I. General theory},
author = {Daniele Binosi and Andrea Quadri},
journal= {arXiv preprint arXiv:1904.06692},
year = {2019}
}
Comments
37 pages, 3 figures; updated version to match the published one