Higher Order Terms of Improved Mean Field Approximation for IIB Matrix Model and Emergence of Four-dimensional Space-time

dc.creatorAoyama, T.
dc.creatorKawai, H.
dc.date2006-03-19
dc.date.accessioned2026-07-07T10:46:14Z
dc.date.available2026-07-07T10:46:14Z
dc.descriptionThe 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.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0603146
dc.identifierhttp://arxiv.org/abs/hep-th/0603146
dc.identifierProg.Theor.Phys.116:405-415,2006
dc.identifierdoi:10.1143/PTP.116.405
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183164
dc.subjectHigh Energy Physics - Theory
dc.titleHigher Order Terms of Improved Mean Field Approximation for IIB Matrix Model and Emergence of Four-dimensional Space-time
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