Improved and perfect actions in discrete gravity
Journal Article
·
· Physical Review. D, Particles Fields
- DAMTP, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA (United Kingdom)
- MPI for Gravitational Physics, Albert Einstein Institute, Am Muehlenberg 1, D-14476 Potsdam (Germany) and Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, NL-3584 CE Utrecht (Netherlands)
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 a 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.
- OSTI ID:
- 21316530
- Journal Information:
- Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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