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Prog. Theor. Phys. Vol. 114 No. 2 (2005) pp. 487-508

[ Full Text PDF : FREE ACCESS (303K) ]

Gaussian Expansion Analysis of a Matrix Model with the Spontaneous Breakdown of Rotational Symmetry

Jun Nishimura,1,2,* Toshiyuki Okubo3,** and Fumihiko Sugino4,***

1High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan
2Department of Particle and Nuclear Physics, The Graduate University for Advanced Studies (Sokendai), Tsukuba 305-0801, Japan
3Department of Physics, Nagoya University, Nagoya 464-8602, Japan
4Okayama Institute for Quantum Physics, Okayama 700-0015, Japan

(Received May 20, 2005)

Abstract:

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 apply 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.


URL : http://ptp.ipap.jp/link?PTP/114/487/
DOI : 10.1143/PTP.114.487


*E-mail: jnishi@post.kek.jp
**E-mail: okubo@eken.phys.nagoya-u.ac.jp
***E-mail: fumihiko_sugino@pref.okayama.jp

[ Full Text PDF : FREE ACCESS (303K) ] Citation:

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  6. Progress of Theoretical Physics Supplement No.164 (2006) pp. 148-159 :
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