Extended matter coupled to BF theory
| dc.creator | Fairbairn, Winston J. | |
| dc.creator | Perez, Alejandro | |
| dc.date | 2007-09-26 | |
| dc.date.accessioned | 2026-07-07T11:37:33Z | |
| dc.date.available | 2026-07-07T11:37:33Z | |
| dc.description | Recently, a topological field theory of membrane-matter coupled to BF theory in arbitrary spacetime dimensions was proposed [1]. In this paper, we discuss various aspects of the four-dimensional theory. Firstly, we study classical solutions leading to an interpretation of the theory in terms of strings propagating on a flat spacetime. We also show that the general classical solutions of the theory are in one-to-one correspondence with solutions of Einstein's equations in the presence of distributional matter (cosmic strings). Secondly, we quantize the theory and present, in particular, a prescription to regularize the physical inner product of the canonical theory. We show how the resulting transition amplitudes are dual to evaluations of Feynman diagrams coupled to three-dimensional quantum gravity. Finally, we remove the regulator by proving the topological invariance of the transition amplitudes. | |
| dc.description | 27 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/0709.4235 | |
| dc.identifier | http://arxiv.org/abs/0709.4235 | |
| dc.identifier | Phys.Rev.D78:024013,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.78.024013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/199242 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Extended matter coupled to BF theory | |
| dc.type | text |