A note on local BRST cohomology of Yang-Mills type theories with free abelian factors

[en] We extend previous work on antifield dependent local Becchi-Rouet-Stora-Tyutin (BRST) cohomology for matter coupled gauge theories of Yang-Mills type to the case of gauge groups that involve free Abelian factors. More precisely, we first investigate in a model independent way how the dynamics enters the computation of the coho- mology for a general class of Lagrangians in general spacetime dimensions. We then discuss explicit solutions in the case of specific models. Our analysis has implica- tions for the structure of characteristic cohomology and for consistent deformations of the classical models, as well as for divergences/counterterms and for gauge anoma- lies that may appear during perturbative quantization.

Research center :

AGIF - Algèbre, Géométrie et Interactions fondamentales

Disciplines :

Physics

Author, co-author :

Barnich, Glenn

Boulanger, Nicolas ; Université de Mons > Faculté des Sciences > Physique théorique et mathématique

Language :

English

Title :

A note on local BRST cohomology of Yang-Mills type theories with free abelian factors

Publication date :

23 May 2018

Journal title :

Journal of Mathematical Physics

ISSN :

0022-2488

Publisher :

American Institute of Physics, United States - New York

Peer reviewed :

Peer Reviewed verified by ORBi

Research unit :

S814 - Physique théorique et mathématique

Research institute :

R150 - Institut de Recherche sur les Systèmes Complexes

Available on ORBi UMONS :

since 17 June 2018

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Bibliography

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