Gauge-Invariant Quantum Fields
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929528839864320 |
|---|---|
| author | Quadri, Andrea |
| author_facet | Quadri, Andrea |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_01016 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gauge-Invariant Quantum Fields Quadri, Andrea High Energy Physics - Theory High Energy Physics - Phenomenology 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. |
| title | Gauge-Invariant Quantum Fields |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2402.01016 |