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  Coarse graining theories with gauge symmetries

Bahr, B., Dittrich, B., & He, S. (2011). Coarse graining theories with gauge symmetries. New Journal of Physics, 13: 045009. Retrieved from http://arxiv.org/abs/1011.3667.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-D411-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-D413-B
Genre: Journal Article

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1011.3667 (Preprint), 308KB
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 Creators:
Bahr, Benjamin1, Author              
Dittrich, Bianca1, Author              
He, Song1, Author              
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:102878              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Lattice, hep-lat
 Abstract: Discretizations of continuum theories often do not preserve the gauge symmetry content. This occurs in particular for diffeomorphism symmetry in general relativity, which leads to severe difficulties both in canonical and covariant quantization approaches. We discuss here the method of perfect actions, which attempts to restore gauge symmetries by mirroring exactly continuum physics on a lattice via a coarse graining process. Analytical results can only be obtained via a perturbative approach, for which we consider the first steps, namely the coarse graining of the linearized theory. The linearized gauge symmetries are exact also in the discretized theory, hence we develop a formalism to deal with gauge systems. Finally we provide a discretization of linearized gravity as well as a coarse graining map and show that with this choice the 3D linearized gravity action is invariant under coarse graining.

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 Dates: 2010-11-162011
 Publication Status: Published online
 Pages: 31 pages, 3 pictures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1011.3667
URI: http://arxiv.org/abs/1011.3667
 Degree: -

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Title: New Journal of Physics
  Other : New J. Phys.
Source Genre: Journal
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Publ. Info: Bristol, UK : Institute of Physics Pub.
Pages: - Volume / Issue: 13 Sequence Number: 045009 Start / End Page: - Identifier: ISSN: 1367-2630
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954926913666