Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-12-17
Prog.Theor.Phys.114:487-508,2005
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, 20 figures, LaTeX
Scientific paper
10.1143/PTP.114.487
Recently the gaussian expansion method has been applied to investigate the dynamical generation of 4d space-time in the IIB matrix model, which is a conjectured nonperturbative definition of type IIB superstring theory in 10 dimensions. Evidence for such a phenomenon, which is associated with the spontaneous breaking of the SO(10) symmetry down to SO(4), has been obtained up to the 7-th order calculations. Here we apply the same method to a simplified model, which is expected to exhibit an analogous spontaneous symmetry breaking via the same mechanism as conjectured for the IIB matrix model. The results up to the 9-th order demonstrate a clear convergence, which allows us to unambiguously identify the actual symmetry breaking pattern by comparing the free energy of possible vacua and to calculate the extent of ``space-time'' in each direction.
Nishimura Jun
Okubo Toshiyuki
Sugino Fumihiko
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