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2009

Breaking and restoring of diffeomorphism symmetry in discrete gravity

Bahr, B., Dittrich, B.

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We discuss the fate of diffeomorphism symmetry in discrete gravity.

Diffeomorphism symmetry is typically broken by the discretization.
This has repercussions for the observable content and the canonical formulation of the theory.
It might however be possible to construct discrete actions, so--called perfect actions, with exact symmetries and we will review first steps towards this end.

Breaking and restoring of diffeomorphism symmetry in discrete gravity · Around

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Then

J. Lewandowski, A. Okołow, H. Sahlmann and T. Thiemann “Uniqueness of diffeomorphism invariant states on holonomy-flux algebras” Commun. Math. Phys. 267
2006
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B. Dittrich “Partial and Complete Observables for Canonical General Relativity” Class. Quant. Grav. 23
2006
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C. Di Bartolo, R. Gambini, R. Porto and J. Pullin, “Dirac-like approach for consistent discretizations of classical constrained theories,” J. Math. Phys. 46
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B. Dittrich, L. Freidel and S. Speziale, “Linearized dynamics from the 4-simplex Regge action,” Phys. Rev. D 76
Original
2007
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J. W. Barrett, M. Rocek and R. M. Williams, “A note on area variables in Regge calculus,” Class. Quant. Grav. 16
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