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  Perfect discretization of path integrals

Steinhaus, S. (2012). Perfect discretization of path integrals. Journal of Physics: Conference Series, 360: 012025.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-3103-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-3105-7
Genre: Conference Paper

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1110.4051 (Preprint), 398KB
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 Creators:
Steinhaus, Sebastian1, Author              
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_persistent22              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Lattice, hep-lat
 Abstract: In order to obtain a well-defined path integral one often employs discretizations. In the case of General Relativity these generically break diffeomorphism symmetry, which has severe consequences since these symmetries determine the dynamics of the corresponding system. In this article we consider the path integral of reparametrization invariant systems as a toy example and present an improvement procedure for the discretized propagator. Fixed points and convergence of the procedure are discussed. Furthermore we show that a reparametrization invariant path integral implies discretization independence and acts as a projector onto physical states.

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 Dates: 2011-10-182011-11-152012
 Publication Status: Published in print
 Pages: 4 pages, 1 figure, based on a talk given at Loops '11, Madrid, to appear in Journal of Physics: Conference Series (JPCS)
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1110.4051
DOI: 10.1088/1742-6596/360/1/012025
 Degree: -

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Title: Loops 11: Non-Perturbative / Background Independent Quantum Gravity
Place of Event: Madrid, Spain
Start-/End Date: 2011-05-23 - 2011-05-28

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Title: Journal of Physics: Conference Series
Source Genre: Journal
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Publ. Info: Bristol : IOP Publ.
Pages: - Volume / Issue: 360 Sequence Number: 012025 Start / End Page: - Identifier: ISSN: 1742-6588
CoNE: https://pure.mpg.de/cone/journals/resource/111097776606042