Nonminimal non-Abelian quantum vector fields in curved spacetime
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AuthorSalcedo Moreno, Lorenzo Luis
American Physical Society
L. L. Salcedo. Nonminimal non-Abelian quantum vector fields in curved spacetime. Phys. Rev. D 106, 105019 [https://doi.org/10.1103/PhysRevD.106.105019]
SponsorshipMCIN/AEI/10.13039/ 501100011033 under Grant No. PID2020–114767GBI00; Junta de Andalucía (Grant No. FQM-225); FEDER/Junta de Andalucía-Consejería de Economía y Conocimiento 2014-2020 Operational Program under Grant No. A-FQM-178-UGR18; Consejería de Conocimiento, Investigación y Universidad, Junta de Andalucía and European Regional Development Fund (ERDF), Ref. SOMM17/6105/UGR
The quantum effective action of nonminimal vector fields with Abelian or non-Abelian gauge degrees of freedom in curved spacetime is studied. The Proca or Yang-Mills fields are coupled to a local masslike term acting in both coordinate and gauge spaces. Pathologies due to gauge invariance in the ultraviolet are avoided through the introduction of a non-Abelian version of the Stueckelberg field. It is found that the breaking of gauge invariance induced by the mass term affects only the tree-level part of the effective action. The ultraviolet divergent part of the effective action to one loop is obtained using the method of covariant symbols and dimensional regularization. Formulas are given valid for any spacetime dimension and explicit results are shown for the two-dimensional case. As already happened for a single vector field, the ultraviolet divergences are local but not of polynomial type.