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
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
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 -