A BRST gauge-fixing procedure for Yang-Mills theory on sphere
| dc.creator | Banerjee, Rabin | |
| dc.creator | Deguchi, Shinichi | |
| dc.date | 2005-09-21 | |
| dc.date.accessioned | 2026-07-07T10:30:19Z | |
| dc.date.available | 2026-07-07T10:30:19Z | |
| dc.description | A gauge-fixing procedure for the Yang-Mills theory on an n-dimensional sphere (or a hypersphere) is discussed in a systematic manner. We claim that Adler's gauge-fixing condition used in massless Euclidean QED on a hypersphere is not conventional because of the presence of an extra free index, and hence is unfavorable for the gauge-fixing procedure based on the BRST invariance principle (or simply BRST gauge-fixing procedure). Choosing a suitable gauge condition, which is proved to be equivalent to a generalization of Adler's condition, we apply the BRST gauge-fixing procedure to the Yang-Mills theory on a hypersphere to obtain consistent results. Field equations for the Yang-Mills field and associated fields are derived in manifestly O(n+1) covariant or invariant forms. In the large radius limit, these equations reproduce the corresponding field equations defined on the n-dimensional flat space. | |
| dc.description | 15 pages, revtex4 | |
| dc.identifier | https://arxiv.org/abs/hep-th/0509161 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0509161 | |
| dc.identifier | Phys.Lett.B632:579-585,2006 | |
| dc.identifier | doi:10.1016/j.physletb.2005.10.067 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/178095 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A BRST gauge-fixing procedure for Yang-Mills theory on sphere | |
| dc.type | text |