https://doi.org/10.1140/epjc/s10052-024-13317-0
Regular Article - Theoretical Physics
Gauge-invariant quantum fields
INFN, Sezione di Milano, Via Celoria 16, 20133, Milan, Italy
Received:
10
February
2024
Accepted:
3
September
2024
Published online: 27 September 2024
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.
The original online version of this article was revised: The wrong figures appeared as Fig. 1 and 2. This has been corrected.
An erratum to this article is available online at https://doi.org/10.1140/epjc/s10052-024-13433-x.
Copyright comment corrected publication 2024
Copyright comment corrected publication 2024
© The Author(s) 2024. corrected publication 2024. corrected publication 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.