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Conference Paper

Perfect discretization of path integrals

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

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Fulltext (public)

1110.4051
(Preprint), 398KB

JoPCS_360_1_012025.pdf
(Any fulltext), 351KB

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Citation

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


Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-3103-B
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.