TY - JOUR
T1 - 10D Euclidean dynamical triangulations
AU - Veselov, A. I.
AU - Zubkov, M. A.
N1 - Funding Information:
We are grateful to E.T. Akhmedov, B.L.G. Bakker, M.I. Polikarpov and J. Smit for useful discussions. We are very obliged to J. Ambjorn and S. Catterall who have sent us the dynamical triangulation (Fortran and C) program codes. We consulted these codes several times during the elaboration of our own program codes. We are very obliged to the staff of the Joint Supercomputer Center at Moscow and especially to A.V. Zabrodin for the help in computations on supercomputer MVS 1000 M. This work was partly supported by Federal Program of Russian Ministry of Industry, Science and Technology No. 40.052.1.1.1112 and by the grants RFBR 03-02-16941, RFBR 04-02-16079, RFBR 02-02-17308, RFBR 01-02-117456, RFBR-DFG 03-02-04016, INTAS 00-00111 and CRDF award RP1-2364-MO-02.
PY - 2004/7/8
Y1 - 2004/7/8
N2 - We investigate numerically 10-dimensional Euclidean quantum gravity (with discretized Einstein-Hilbert action) in the framework of the dynamical triangulation approach. For the considered values of the gravitational coupling we observed two phases, the behavior of which is found to be similar to that of the crumpled and elongated phases of 3-, 4- and 5-dimensional models. Surprisingly (for the observed lattice sizes) the natural state of the 10D system (when the Einstein-Hilbert action is turned off) is found to resemble branched polymer while in the low-dimensional systems the natural state belongs to the crumpled phase.
AB - We investigate numerically 10-dimensional Euclidean quantum gravity (with discretized Einstein-Hilbert action) in the framework of the dynamical triangulation approach. For the considered values of the gravitational coupling we observed two phases, the behavior of which is found to be similar to that of the crumpled and elongated phases of 3-, 4- and 5-dimensional models. Surprisingly (for the observed lattice sizes) the natural state of the 10D system (when the Einstein-Hilbert action is turned off) is found to resemble branched polymer while in the low-dimensional systems the natural state belongs to the crumpled phase.
UR - https://www.scopus.com/pages/publications/2942546546
U2 - 10.1016/j.physletb.2004.04.047
DO - 10.1016/j.physletb.2004.04.047
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AN - SCOPUS:2942546546
SN - 0370-2693
VL - 591
SP - 311
EP - 317
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 - 3-4
ER -