par Ferrari, Frank 
Référence Physical Review D - Particles, Fields, Gravitation and Cosmology, 89, page (105018)
Publication Publié, 2014-05-01
Référence Physical Review D - Particles, Fields, Gravitation and Cosmology, 89, page (105018)
Publication Publié, 2014-05-01
Article révisé par les pairs
| Résumé : | Given a gauge theory with gauge group G, it is sometimes useful to find an equivalent formulation in terms of a nontrivial gauge subgroup H⊂G. This amounts to fixing the gauge partially from G down to H. We study this problem systematically, both from the algebraic and from the path integral points of view. We find that the usual BRST cohomology must be replaced by an equivariant version and that the ghost Lagrangian must always include quartic ghost terms, even at tree level. Both the Cartan and Weil models for equivariant cohomology play a role and find natural interpretations within the physics framework. Applications include the construction of D-brane models of emergent space, the 't Hooft Abelian projection scenario in quantum chromodynamics and the formulation of the low-energy effective theories of grand unified models. © 2014 American Physical Society. |
