Aleksandar Miković, “Quantum Gravity as a Broken Symmetry Phase of a BF Theory”, SIGMA, 2006, Volume 2,086, 5 pp.

This article is cited in 8 papers

Quantum Gravity as a Broken Symmetry Phase of a BF Theory

Aleksandar Miković^ab

^a Department of Mathematics, Lusofona University, Av. Do Campo Grande 376, 1749-024 Lisbon, Portugal
^b Mathematical Physics Group, University of Lisbon, Av. Prof. Gama Pinto 2, 1649-003 Lisbon, Portugal

Abstract: We explain how General Relativity with a cosmological constant arises as a broken symmetry phase of a BF theory. In particular we show how to treat de Sitter and anti-de Sitter cases simultaneously. This is then used to formulate a quantisation of General Relativity through a spin foam perturbation theory. We then briefly discuss how to calculate the effective action in this quantization procedure.

Keywords: de Sitter; anti-de Sitter; spin foams.

MSC: 83C45; 81R50

Received: October 2, 2006; in final form November 21, 2006; Published online December 7, 2006

Language: English

DOI: 10.3842/SIGMA.2006.086