TY - JOUR

T1 - Gauge invariant discretization of Poincaré quantum gravity

AU - Zubkov, M. A.

N1 - 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.

PY - 2006/7/20

Y1 - 2006/7/20

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=33745485158&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2006.06.004

DO - 10.1016/j.physletb.2006.06.004

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AN - SCOPUS:33745485158

SN - 0370-2693

VL - 638

SP - 503

EP - 508

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 5-6

ER -