Local BRST cohomology in the antifield formalism: I. General theorems
| dc.creator | Barnich, G. | |
| dc.creator | Brandt, F. | |
| dc.creator | Henneaux, M. | |
| dc.date | 1994-05-17 | |
| dc.date | 1994-06-13 | |
| dc.date.accessioned | 2026-07-07T11:48:08Z | |
| dc.date.available | 2026-07-07T11:48:08Z | |
| dc.description | We establish general theorems on the cohomology $H^*(s|d)$ of the BRST differential modulo the spacetime exterior derivative, acting in the algebra of local $p$-forms depending on the fields and the antifields (=sources for the BRST variations). It is shown that $H^{-k}(s|d)$ is isomorphic to $H_k(δ|d)$ in negative ghost degree $-k\ (k>0)$, where $δ$ is the Koszul-Tate differential associated with the stationary surface. The cohomological group $H_1(δ|d)$ in form degree $n$ is proved to be isomorphic to the space of constants of the motion, thereby providing a cohomological reformulation of Noether theorem. More generally, the group $H_k(δ|d)$ in form degree $n$ is isomorphic to the space of $n-k$ forms that are closed when the equations of motion hold. The groups $H_k(δ|d)$ $(k>2)$ are shown to vanish for standard irreducible gauge theories. The group $H_2(δ|d)$ is then calculated explicitly for electromagnetism, Yang-Mills models and Einstein gravity. The invariance of the groups $H^{k}(s|d)$ under the introduction of non minimal variables and of auxiliary | |
| dc.description | 48 pages LaTeX file, ULB-PMIF-94/06 NIKEF-H 94-13 (minor changes in section 10) | |
| dc.identifier | https://arxiv.org/abs/hep-th/9405109 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9405109 | |
| dc.identifier | Commun.Math.Phys.174:57-92,1995 | |
| dc.identifier | doi:10.1007/BF02099464 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/202818 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Local BRST cohomology in the antifield formalism: I. General theorems | |
| dc.type | text |