Gauge-Invariant Quantum Fields
Abstract
Gauge-invariant quantum fields are constructed in an Abelian power-counting renormalizable gauge theory with both scalar, vector and fermionic matter content. This extends previous results already obtained for the gauge-invariant description of the Higgs mode via a propagating gauge-invariant field. The renormalization of the model is studied in the Algebraic Renormalization approach. The decomposition of Slavnov-Taylor identities into separately invariant sectors is analyzed. We also comment on some non-renormalizable extensions of the model whose 1-PI Green's functions are the flows of certain differential equations of the homogeneous Euler type, exactly resumming the dependence on a certain set of dim. 6 and dim. 8 derivative operators. The latter are identified uniquely by the condition that they span the mass and kinetic terms in the gauge-invariant dynamical fields. The construction can be extended to non-Abelian gauge groups.
Cite
@article{arxiv.2402.01016,
title = {Gauge-Invariant Quantum Fields},
author = {Andrea Quadri},
journal= {arXiv preprint arXiv:2402.01016},
year = {2024}
}
Comments
45pages, some typos corrected, extended discussion in Sect. V and VII. Final version published in The European Physical Journal C