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

Abstract

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.

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

References in corpus (11)

• M Theory As A Matrix Model: A Conjecture
• A Large-N Reduced Model as Superstring
• Matrix String Theory
• Proposals on nonperturbative superstring interactions
• IIB Matrix Model
• Dynamical Generation of Four-Dimensional Space-Time in the IIB Matrix Model
• Heterotic M(atrix) Strings and Their Interactions
• Mean Field Approximation of IIB Matrix Model and Emergence of Four Dimensional Space-Time
• Spontaneous Breakdown of Lorentz Invariance in IIB Matrix Model
• Gaussian and Mean Field Approximations for Reduced Yang-Mills Integrals
• On the supersymmetric formulation of Unitary Matrix Model of type IIB

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