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  Improved and Perfect Actions in Discrete Gravity

Bahr, B., & Dittrich, B. (2009). Improved and Perfect Actions in Discrete Gravity. Physical Review D., 80: 124030. doi:10.1103/PhysRevD.80.124030.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-610B-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-610E-B
Genre: Journal Article

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 Creators:
Bahr, Benjamin1, Author              
Dittrich, Bianca1, Author              
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_102878              

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 Abstract: We consider the notion of improved and perfect actions within Regge calculus. These actions are constructed in such a way that they - although being defined on a triangulation - reproduce the continuum dynamics exactly, and therefore capture the gauge symmetries of General Relativity. We construct the perfect action in three dimensions with cosmological constant, and in four dimensions for one simplex. We conclude with a discussion about Regge Calculus with curved simplices, which arises naturally in this context.

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 Dates: 2009
 Publication Status: Published in print
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 Identifiers: DOI: 10.1103/PhysRevD.80.124030
Other: arXiv:0907.4323
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Title: Physical Review D.
  Alternative Title : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 80 Sequence Number: 124030 Start / End Page: - Identifier: Other: 111088197762258
Other: 0556-2821