Gauge invariant discretization of Poincaré quantum gravity

M. A. Zubkov

doi:10.1016/j.physletb.2006.06.004

Gauge invariant discretization of Poincaré quantum gravity

M. A. Zubkov

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this Letter we suggest gauge invariant discretization of Poincaré quantum gravity. We generalize Regge calculus to the case of Riemann-Cartan space. The basic element of the constructed discretization is piecewise-linear Riemann-Cartan space with flat pieces of hypercubic form. We consider the model with squared curvature action and calculate the correspondent lattice action. We construct local measure over the dynamical variables of the lattice model.

Original language	English
Pages (from-to)	503-508
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	638
Issue number	5-6
DOIs	https://doi.org/10.1016/j.physletb.2006.06.004
State	Published - 20 Jul 2006
Externally published	Yes

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10.1016/j.physletb.2006.06.004

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abstract = "In this Letter we suggest gauge invariant discretization of Poincar{\'e} quantum gravity. We generalize Regge calculus to the case of Riemann-Cartan space. The basic element of the constructed discretization is piecewise-linear Riemann-Cartan space with flat pieces of hypercubic form. We consider the model with squared curvature action and calculate the correspondent lattice action. We construct local measure over the dynamical variables of the lattice model.",

author = "Zubkov, \{M. A.\}",

note = "Funding Information: This work was partly supported by RFBR grants 06-02-16309, 05-02-16306, and 04-02-16079, by Federal Program of the Russian Ministry of Industry, Science and Technology No. 40.052.1.1.1112. ",

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AB - In this Letter we suggest gauge invariant discretization of Poincaré quantum gravity. We generalize Regge calculus to the case of Riemann-Cartan space. The basic element of the constructed discretization is piecewise-linear Riemann-Cartan space with flat pieces of hypercubic form. We consider the model with squared curvature action and calculate the correspondent lattice action. We construct local measure over the dynamical variables of the lattice model.

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Gauge invariant discretization of Poincaré quantum gravity

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