Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-03-19
Prog.Theor.Phys.116:405-415,2006
Physics
High Energy Physics
High Energy Physics - Theory
13 pages
Scientific paper
10.1143/PTP.116.405
The spontaneous breakdown of SO(10) symmetry of the IIB matrix model has been studied by using the improved mean field approximation (IMFA). In this report, the eighth-order contribution to the improved perturbative series is obtained, which involves evaluation of 20410 planar two-particle irreducible vacuum diagrams. We consider SO(d)-preserving configurations as ansatz (d=4,7). The development of plateau, the solution of self-consistency condition, is seen in both ansatz. The large ratio of the space-time extent of d-dimensional part against the remaining (10-d)-dimensional part is obtained for SO(4) ansatz evaluated at the representative points of the plateau. It would be interpreted as the emergence of four-dimensional space-time in the IIB matrix model.
Aoyama Takahiro
Kawai Hajime
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