Article Dans Une Revue Physical Review D Année : 2008

Extended matter coupled to BF theory

Résumé

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.

Fichier principal
Vignette du fichier
BFstringfinal.pdf (435.66 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-00175142 , version 1 (26-09-2007)

Licence

Identifiants

Citer

Winston J. Fairbairn, Alejandro Perez. Extended matter coupled to BF theory. Physical Review D, 2008, 78 (2). ⟨hal-00175142⟩
234 Consultations
282 Téléchargements

Altmetric

Partager

  • More