English

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

High Energy Physics - Theory 2008-11-26 v2

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.

Keywords

Cite

@article{arxiv.hep-th/0211272,
  title  = {Improved Perturbation Theory and Four-Dimensional Space-Time in IIB Matrix Model},
  author = {H. Kawai and S. Kawamoto and T. Kuroki and S. Shinohara},
  journal= {arXiv preprint arXiv:hep-th/0211272},
  year   = {2008}
}

Comments

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