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2000

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/12443

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

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http://dx.doi.org/10.1103/PhysRevD.62.064026

Abstract

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.

Subject

Teoria de camps (Física), Partícules (Física nuclear), Relativitat (Física), Gravetat quàntica

Subject (English)

Field theory (Physics), Particles (Nuclear physics), Special relativity (Physics), Quantum gravity

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Articles publicats en revistes (Física Quàntica i Astrofísica)

Citation

PONS RÀFOLS, Josep Maria, SALISBURY, D. C. and SHEPLEY, L. C. Gauge group and reality conditions in Ashtekar's complex formulation of canonical gravity. Physical Review D. 2000. Vol. 62, num. 6, pags. 064026-1-1064026-15. ISSN 0556-2821. [consulted: 13 of August of 2026]. Available at: https://hdl.handle.net/2445/12443

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