Improved Perturbation Theory and FourDimensional SpaceTime in the IIB Matrix Model
Abstract
We have analyzed the IIB matrix model on the basis of the improved mean field approximation (IMFA) and have obtained evidence suggesting that the fourdimensional spacetime appears as its most stable vacuum. This method is a systematic way to obtain an improved perturbation series and was first applied to the IIB matrix model by Nishimura and Sugino. In a previous paper, we reformulated this method and proposed a criterion for the convergence of the improved series, that is, the appearance of a ``plateau''. In this paper, we carry out higherorder calculations, and find that our improved free energy tends to have a plateau, which shows that IMFA works well in the IIB matrix model.
 Publication:

Progress of Theoretical Physics
 Pub Date:
 January 2003
 DOI:
 10.1143/PTP.109.115
 arXiv:
 arXiv:hepth/0211272
 Bibcode:
 2003PThPh.109..115K
 Keywords:

 High Energy Physics  Theory
 EPrint:
 22 pages, 9 figures