Understanding the Mechanism for the Spontaneous Breakdown of Rotational Symmetry in the IIB Matrix Model(Frontiers of Quantum Physics)
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概要
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Recently, the Gaussian expansion method has been applied to investigate the dynamical generation of 4d space-time in the IIB matrix model, which is a conjectured nonperturbative definition of type IIB superstring theory in 10 dimensions. Evidence for such a phenomenon, which is associated with the spontaneous breaking of the SO(10) symmetry down to SO(4), has been obtained up to 7-th order calculations. Here we discuss an application of the same method to a simplified model, which is considered to exhibit an analogous spontaneous symmetry breaking via the same mechanism as conjectured for the IIB matrix model. The results up to 9-th order demonstrate a clear convergence, which allows us to unambiguously identify the actual symmetry breaking pattern by comparing the free energy of possible vacua and to calculate the extent of "space-time" in each direction.
- 理論物理学刊行会の論文
- 2006-10-31
著者
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NISHIMURA Jun
High Energy Accelerator Research Organization (KEK)
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Nishimura Jun
Graduate Univ. Advanced Studies (sokendai) Tsukuba Jpn
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NISHIMURA Jun
KEK Theory Center, High Energy Accelerator Research Organization:The Graduate University for Advanced Studies (SOKENDAI)
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NISHIMURA Jun
High Energy Accelerator Research Organization (KEK):Department of Particle and Nuclear Physics, Graduate University for Advanced Studies (SOKENDAI)
関連論文
- Spontaneous Breaking of the Rotational Symmetry in Dimensionally Reduced Super Yang-Mills Models(Particles and Fields)
- Gaussian Expansion Analysis of a Matrix Model with the Spontaneous Breakdown of Rotational Symmetry(Particles and Fields)
- Understanding the Mechanism for the Spontaneous Breakdown of Rotational Symmetry in the IIB Matrix Model(Frontiers of Quantum Physics)
- Nonperturbative Study of Non-Commutative U(1) Gauge Theory(Field theory, Lattice and Noncommutative space,NONCOMMUTATIVE GEOMETRY AND QUANTUM SPACETIME IN PHYSICS)
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