Observables and critical behaviour in fermionic matrix models

Gordon W. Semenoff; R. J. Szabo

doi:10.1007/BF02066657

Observables and critical behaviour in fermionic matrix models

Gordon W. Semenoff^*, R. J. Szabo

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We review the properties of adjoint fermion one-, two-, and generic D-dimensional matrix models at large N. We derive and solve the complete sets of loop equations for the correlators of these models and examine the ensuing critical behavior. The topological 1/N-expansions are also constructed, and we discuss the applications of these matrix models to string theory and induced gauge theories.

Original language	English
Pages (from-to)	823-860
Number of pages	38
Journal	Theoretical and Mathematical Physics
Volume	104
DOIs	https://doi.org/10.1007/BF02066657
Publication status	Published - Jul 1995

Keywords

Gauge Theory
Matrix Model
Critical Behavior
Loop Equation
Adjoint Fermion

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02066657

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title = "Observables and critical behaviour in fermionic matrix models",

abstract = "We review the properties of adjoint fermion one-, two-, and generic D-dimensional matrix models at large N. We derive and solve the complete sets of loop equations for the correlators of these models and examine the ensuing critical behavior. The topological 1/N-expansions are also constructed, and we discuss the applications of these matrix models to string theory and induced gauge theories.",

keywords = "Gauge Theory, Matrix Model, Critical Behavior, Loop Equation, Adjoint Fermion",

author = "Semenoff, {Gordon W.} and Szabo, {R. J.}",

year = "1995",

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doi = "10.1007/BF02066657",

language = "English",

volume = "104",

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journal = "Theoretical and Mathematical Physics",

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T1 - Observables and critical behaviour in fermionic matrix models

AU - Semenoff, Gordon W.

AU - Szabo, R. J.

PY - 1995/7

Y1 - 1995/7

N2 - We review the properties of adjoint fermion one-, two-, and generic D-dimensional matrix models at large N. We derive and solve the complete sets of loop equations for the correlators of these models and examine the ensuing critical behavior. The topological 1/N-expansions are also constructed, and we discuss the applications of these matrix models to string theory and induced gauge theories.

AB - We review the properties of adjoint fermion one-, two-, and generic D-dimensional matrix models at large N. We derive and solve the complete sets of loop equations for the correlators of these models and examine the ensuing critical behavior. The topological 1/N-expansions are also constructed, and we discuss the applications of these matrix models to string theory and induced gauge theories.

KW - Gauge Theory

KW - Matrix Model

KW - Critical Behavior

KW - Loop Equation

KW - Adjoint Fermion

UR - http://www.scopus.com/inward/record.url?scp=27844575522&partnerID=8YFLogxK

U2 - 10.1007/BF02066657

DO - 10.1007/BF02066657

M3 - Article

AN - SCOPUS:27844575522

SN - 0040-5779

VL - 104

SP - 823

EP - 860

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

ER -

Observables and critical behaviour in fermionic matrix models

Abstract

Keywords

ASJC Scopus subject areas

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