Large-N transitions for generalized Yang-Mills theories in 1+1 dimensions

被引：1

作者：

Dubath, F ^{[1
]}

机构：

[1] Univ Geneva, Dept Phys Theor, CH-1211 Geneva 4, Switzerland

来源：

NUCLEAR PHYSICS B | 2006年 / 736卷 / 03期

关键词：

D O I：

10.1016/j.nuclphysb.2005.12.011

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：

We describe the entire phase structure of a large number of colour generalized Yang-Mills theories in 1+1 dimensions. This is illustrated by the explicit computation for a quartic plus quadratic model. We show that the Douglas-Kazakov and cut-off transitions are naturally present for generalized Yang-Mills theories separating the phase space into three regions: a dilute one a strongly interacting one and a degenerate one. Each region is separated into sub-phases. For the first two regions the transitions between sub-phases are described by the Jurkiewicz-Zalewski analysis. The cut-off transition and degenerated phase arise only for a finite number of colours. We present second-order phase transitions between sub-phases of the degenerate phase. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：302 / 318

页数：17

共 18 条

[1] Large-N limit of the generalized two-dimensional Yang-Mills theories [J].

Alimohammadi, M ;

Khorrami, M ;

Aghamohammadi, A .

NUCLEAR PHYSICS B, 1998, 510 (1-2) :313-323

[2]

APOLLONI A, HEPTH0506207

[3]

CICUTA GM, 1986, MOD PHYS LETT A, V1, P125, DOI DOI 10.1142/S021773238600018X

[4] Large N 2D Yang-Mills theory and topological string theory [J].

Cordes, S ;

Moore, G ;

Ramgoolam, S .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1997, 185 (03) :543-619

[5] Two-dimensional gauge theories of the symmetric group Sn in the large-n limit [J].

D'Adda, A ;

Provero, P .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2004, 245 (01) :1-25

[6] LARGE N PHASE-TRANSITION IN CONTINUUM QCD2 [J].

DOUGLAS, MR ;

KAZAKOV, VA .

PHYSICS LETTERS B, 1993, 319 (1-3) :219-230

[7] String Hamiltonian from generalized Yang-Mills gauge theory in two dimensions [J].

Dubath, F ;

Lelli, S ;

Rissone, A .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2004, 19 (02) :205-225

[8] THE STRING THEORY APPROACH TO GENERALIZED 2D YANG-MILLS THEORY [J].

GANOR, O ;

SONNENSCHEIN, J ;

YANKIELOWICZ, S .

NUCLEAR PHYSICS B, 1995, 434 (1-2) :139-178

[9] 2-DIMENSIONAL QCD IS A STRING THEORY [J].

GROSS, DJ ;

TAYLOR, W .

NUCLEAR PHYSICS B, 1993, 400 (1-3) :181-208

[10] 2-DIMENSIONAL QCD AS A STRING THEORY [J].

GROSS, DJ .

NUCLEAR PHYSICS B, 1993, 400 (1-3) :161-180

← 1 2 →