Macroscopic loop amplitudes in the multi-cut two-matrix models

被引：6

作者：

Chan, Chuan-Tsung ^{[3
]}

Irie, Hirotaka ^{[1
,2
]}

Shih, Sheng-Yu Darren ^{[1
,2
,4
]}

Yeh, Chi-Hsien ^{[1
,2
]}

机构：

[1] Natl Taiwan Univ, Dept Phys, Taipei 10617, Taiwan

[2] Natl Taiwan Univ, Ctr Theoret Sci, Taipei 10617, Taiwan

[3] Tunghai Univ, Dept Phys, Taichung 40704, Taiwan

[4] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA

来源：

NUCLEAR PHYSICS B | 2010年 / 828卷 / 03期

关键词：

UNITARY-MATRIX MODELS; ISING-MODEL; 2D GRAVITY; EQUATIONS; STRINGS; GEOMETRY; SOLITONS; PHASE; LESS;

D O I：

10.1016/j.nuclphysb.2009.10.017

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Multi-cut critical points and their macroscopic loop amplitudes are studied in the multi-cut two-matrix models, based on an extension of the prescription developed by Daul, Kazakov and Kostov. After identifying possible critical points and potentials in the multi-cut matrix models, we calculate the macroscopic loop amplitudes in the Z(k) symmetric background. With a natural large N ansatz for the matrix Lax operators, a sequence of new solutions for the amplitudes in the Z(k) symmetric k-cut two-matrix models are obtained, which are realized by the Jacobi polynomials. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：536 / 580

页数：45

共 72 条

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