Stability of 4-Dimensional Space-Time from the IIB Matrix Model via the Improved Mean Field Approximation(Particles and Fields)

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概要

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• We investigate the origin of our four-dimensional space-time by considering dynamical aspects of the IIB matrix model using the improved mean field approximation. Previous works have focused on the specific choices of configurations as ansatz which preserve SO(d) rotational symmetry. In this report, an extended ansatz is proposed and examined up to a third-order approximation which includes both the SO(4) ansatz and the SO(7) ansatz in their respective limits. From the solutions of the self-consistency condition represented by the extrema of the free energy of the system, it is found that some of the solutions found in the SO(4) or SO(7) ansatz disappear in the extended ansatz. This implies that the extension of ansatz can be used to distinguish stable solutions from unstable solutions. It is also found that there is a non-trivial accumulation of extrema including the SO(4)-preserving solution, which may lead to the formation of a plateau.

• 2006-06-25

著者

• Kawai Hikaru

  Theoretical Physics Laboratory Riken:department Of Physics Kyoto University

• AOYAMA Tatsumi

  Theoretical Physics Laboratory

• Aoyama Tatsumi

  Theoretical Physics Laboratory Riken

• SHIBUSA Yuuichirou

  Theoretical Physics Laboratory, RIKEN

• Shibusa Yuuichirou

  Theoretical Physics Laboratory Riken

• KAWAI Hikaru

  Theoretical Physics Laboratory, RIKEN:Department of Physics, Kyoto University

関連論文

• Stability of 4-Dimensional Space-Time from the IIB Matrix Model via the Improved Mean Field Approximation(Particles and Fields)
• Improved Taylor Expansion Method in the Ising Model (Condensed Matter and Statistical Physics)
• Path Integral Formulation of Noncommutative Superspace in the IKKT Matrix Model(Particles and Fields)
• Higher Order Terms in the Improved Mean Field Approximation for the IIB Matrix Model and the Emergence of Four-Dimensional Space-Time(Particles and Fields)
• Path Integral Formulation of Noncommutative Superspace in the IKKT Matrix Model(Particles and Fields)

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