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Journal Article

Improved and Perfect Actions in Discrete Gravity

MPS-Authors
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Bahr,  Benjamin
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Dittrich,  Bianca
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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0907.4323v1.pdf
(Preprint), 326KB

PRD80_124030.pdf
(Any fulltext), 264KB

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Citation

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


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-610B-2
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.