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Prog. Theor. Phys. Vol. 109 No. 1 (2003) pp. 115-132

[ Full Text PDF : FREE ACCESS (201K) ]

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

Hikaru Kawai,* Shoichi Kawamoto,** Tsunehide Kuroki*** and Shun'ichi Shinohara****

Department of Physics, Kyoto University, Kyoto 606-8502, Japan

(Received November 25, 2002)

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 four-dimensional space-time 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 higher-order calculations, and find that our improved free energy tends to have a plateau, which shows that IMFA works well in the IIB matrix model.


URL : http://ptp.ipap.jp/link?PTP/109/115/
DOI : 10.1143/PTP.109.115


*E-mail: hkawai@gauge.scphys.kyoto-u.ac.jp
**E-mail: kawamoto@gauge.scphys.kyoto-u.ac.jp
***E-mail: kuroki@gauge.scphys.kyoto-u.ac.jp
****E-mail: shunichi@gauge.scphys.kyoto-u.ac.jp

[ Full Text PDF : FREE ACCESS (201K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 114 No. 2 (2005) pp. 487-508 :
    Gaussian Expansion Analysis of a Matrix Model with the Spontaneous Breakdown of Rotational Symmetry
    Jun Nishimura, Toshiyuki Okubo and Fumihiko Sugino
  2. Progress of Theoretical Physics Vol. 115 No. 3 (2006) pp. 473-486 :
    Improved Taylor Expansion Method in the Ising Model
    Tatsumi Aoyama, Toshihiro Matsuo and Yuuichirou Shibusa
  3. Progress of Theoretical Physics Vol. 115 No. 5 (2006) pp. 1003-1025 :
    Curved Superspaces and Local Supersymmetry in Supermatrix Model
    Masanori Hanada, Hikaru Kawai and Yusuke Kimura^***
  4. Progress of Theoretical Physics Vol. 115 No. 6 (2006) pp. 1179-1187 :
    Stability of 4-Dimensional Space-Time from the IIB Matrix Model via the Improved Mean Field Approximation
    Tatsumi Aoyama, Hikaru Kawai and Yuuichirou Shibusa
  5. Progress of Theoretical Physics Vol. 115 No. 6 (2006) pp. 1189-1209 :
    Regularization of the Covariant Derivative on Curved Space by Finite Matrices
    Masanori Hanada
  6. Progress of Theoretical Physics Vol. 116 No. 2 (2006) pp. 405-415 :
    Higher Order Terms in the Improved Mean Field Approximation for the IIB Matrix Model and the Emergence of Four-Dimensional Space-Time
    Tatsumi Aoyama and Hikaru Kawai
  7. Progress of Theoretical Physics Vol. 119 No. 2 (2008) pp. 303-321 :
    Improved Renormalization Group Analysis for Yang-Mills Theory
    Shoichi Kawamoto and Toshihiro Matsuo
  8. Progress of Theoretical Physics Vol. 125 No. 3 (2011) pp. 537-563 :
    Spontaneous Breaking of the Rotational Symmetry in Dimensionally Reduced Super Yang-Mills Models
    Tatsumi Aoyama, Jun Nishimura and Toshiyuki Okubo
  9. Progress of Theoretical Physics Supplement No.164 (2006) pp. 109-117 :
    Supergravity Backgrounds in IIB Matrix Model
    Hiroshi Umetsu
  10. Progress of Theoretical Physics Supplement No.164 (2006) pp. 148-159 :
    Understanding the Mechanism for the Spontaneous Breakdown of Rotational Symmetry in the IIB Matrix Model
    Jun Nishimura
  11. Progress of Theoretical Physics Supplement No.171 (2007) pp. 117-120 :
    Dynamical Generation of Non-Abelian Gauge Group via the Improved Perturbation Theory
    Tsunehide Kuroki

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