Discrete canonical analysis of three dimensional gravity with cosmological constant

Autor:	Berra-Montiel, J., Rosales-Quintero, J. E.
Rok vydání:	2014
Předmět:	General Relativity and Quantum Cosmology
Zdroj:	International Journal of Modern Physics A. Vol 30 (2015)
Druh dokumentu:	Working Paper
DOI:	10.1142/S0217751X15500803
Popis:	We discuss the interplay between standard canonical analysis and canonical discretization in three-dimensional gravity with cosmological constant. By using the Hamiltonian analysis, we find that the continuum local symmetries of the theory are given by the on-shell space-time diffeomorphisms, which at the action level, corresponds to the Kalb-Ramond transformations. At the time of discretization, although this symmetry is explicitly broken, we prove that the theory still preserves certain gauge freedom generated by a constant curvature relation in terms of holonomies and the Gauss's law in the lattice approach. Comment: 19 pages, 1 figure. arXiv admin note: text overlap with arXiv:1310.3759, arXiv:gr-qc/0512065, arXiv:1111.1879 by other authors
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1406.0572 Zobrazit plný text záznamu View this record from Arxiv