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Prog. Theor. Phys. Vol. 112 No. 1 (2004) pp. 131-181

[ Full Text PDF : FREE ACCESS (433K) ]

Loops versus Matrices

— The Nonperturbative Aspects of Noncritical String —

Masanori Hanada,1,* Masashi Hayakawa,2,** Nobuyuki Ishibashi,3,*** Hikaru Kawai,1,2,**** Tsunehide Kuroki,2,***** Yoshinori Matsuo1,****** and Tsukasa Tada2,*******

1Department of Physics, Kyoto University, Kyoto 606-8502, Japan
2Theoretical Physics Laboratory, RIKEN, Wako 351-0198, Japan
3Institute of Physics, University of Tsukuba, Tsukuba 305-8571, Japan

(Received May 10, 2004)

Abstract:

The nonperturbative aspects of string theory are explored for non-critical string in two distinct formulations, loop equations and matrix models. The effects corresponding to the D-brane in these formulations are especially investigated in detail. It is shown that matrix models can universally yield a definite value of the chemical potential for an instanton while loop equations cannot. This implies that it may not be possible to formulate string theory nonperturbatively solely in terms of closed strings.


URL : http://ptp.ipap.jp/link?PTP/112/131/
DOI : 10.1143/PTP.112.131


*hana@gauge.scphys.kyoto-u.ac.jp
**haya@riken.jp
***ishibash@het.ph.tsukuba.ac.jp
****hkawai@gauge.scphys.kyoto-u.ac.jp
*****kuroki@riken.jp
******ymatsuo@gauge.scphys.kyoto-u.ac.jp
*******tada@riken.jp

[ Full Text PDF : FREE ACCESS (433K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 116 No. 5 (2006) pp. 919-936 :
    World-Sheets from N = 4 Super Yang-Mills
    Matsuo Sato
  2. Progress of Theoretical Physics Vol. 128 No. 2 (2012) pp. 429-437 :
    Matrix Model Criticality and Resonant Tunneling
    Tsukasa Tada

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