Gauge group and reality conditions in Ashtekar's complex formulation of canonical gravity


Autoria(s): Pons Ràfols, Josep Maria; Salisbury, D. C.; Shepley, L. C.
Contribuinte(s)

Universitat de Barcelona

Data(s)

11/05/2010

Resumo

We discuss reality conditions and the relation between spacetime diffeomorphisms and gauge transformations in Ashtekars complex formulation of general relativity. We produce a general theoretical framework for the stabilization algorithm for the reality conditions, which is different from Diracs method of stabilization of constraints. We solve the problem of the projectability of the diffeomorphism transformations from configuration-velocity space to phase space, linking them to the reality conditions. We construct the complete set of canonical generators of the gauge group in the phase space which includes all the gauge variables. This result proves that the canonical formalism has all the gauge structure of the Lagrangian theory, including the time diffeomorphisms.

Identificador

http://hdl.handle.net/2445/12443

Idioma(s)

eng

Publicador

The American Physical Society

Direitos

(c) The American Physical Society, 2000

info:eu-repo/semantics/openAccess

Palavras-Chave #Teoria de camps (Física) #Partícules (Física nuclear) #Relativitat (Física) #Gravetat quàntica #Field theory (Physics) #Particles (Nuclear physics) #Special relativity (Physics) #Quantum gravity
Tipo

info:eu-repo/semantics/article