Renormalisation and the Batalin-Vilkovisky formalism
| dc.creator | Costello, Kevin J. | |
| dc.date | 2007-06-11 | |
| dc.date | 2007-06-29 | |
| dc.date.accessioned | 2026-07-07T08:12:49Z | |
| dc.date.available | 2026-07-07T08:12:49Z | |
| dc.description | This paper gives a way to renormalise certain quantum field theories on compact manifolds. Examples include Yang-Mills theory (in dimension 4 only), Chern-Simons theory and holomorphic Chern-Simons theory. The method is within the framework of the Batalin-Vilkovisky formalism. Chern-Simons theory is renormalised in a way respecting all symmetries (up to homotopy). This yields an invariant of smooth manifolds: a certain algebraic structure on the cohomology of the manifold tensored with a Lie algebra, which is a "higher loop" enrichment of the natural Lie-infinity structure. | |
| dc.description | 88 pages | |
| dc.identifier | https://arxiv.org/abs/0706.1533 | |
| dc.identifier | http://arxiv.org/abs/0706.1533 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132585 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Renormalisation and the Batalin-Vilkovisky formalism | |
| dc.type | text |