Improved Perturbation Theory and Four-Dimensional Space-Time in IIB Matrix Model

Details Improved Perturbation Theory and Four-Dimensional Space-Time in IIB Matrix Model Improved Perturbation Theory and Four-Dimensional Space-Time in IIB Matrix Model

2002-11-28

arxiv.org/abs/hep-th/0211272v2

Prog.Theor.Phys.109:115-132,2003

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 9 figures; typos corrected, some figures refined and a refference added

Scientific paper

10.1143/PTP.109.115

We have analyzed IIB matrix model based on the improved mean field approximation (IMFA) and have obtained a clue that the four-dimensional space-time appears as its most stable vacuum. This method is a systematic way to give an improved perturbation series and was first applied to IIB matrix model by Nishimura and Sugino. In our previous paper we reformed this method and proposed a criterion for convergence of the improved series, that is, the appearance of the ``plateau''. In this paper, we perform higher order calculations, and find that our improved free energy tends to have a plateau, which shows that IMFA works well in IIB matrix model.

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