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Coarse graining theories with gauge symmetries

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons4344

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

http://pubman.mpdl.mpg.de/cone/persons/resource/persons20705

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

http://pubman.mpdl.mpg.de/cone/persons/resource/persons2717

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

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Fulltext (public)

1011.3667
(Preprint), 308KB

1367-2630_13_4_045009.pdf
(Any fulltext), 769KB

Supplementary Material (public)
There is no public supplementary material available
Citation

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.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-D411-F
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.