Stochastic quantization and random surface approach to Polyakov string theory

1987 ◽  
Vol 35 (12) ◽  
pp. 3906-3914 ◽  
Author(s):  
I. G. Koh ◽  
R. B. Zhang
Keyword(s):  
String Theory ◽  
Stochastic Quantization ◽  
Random Surface ◽  
Surface Approach

Conformal anomaly for string theory from stochastic quantization

1991 ◽  
Vol 43 (6) ◽  
pp. 2050-2053
Author(s):  
Ki Soo Chung ◽  
Jae Kwan Kim
Keyword(s):  
String Theory ◽  
Conformal Anomaly ◽  
Stochastic Quantization

scholarly journals Fermionic Matrix Models

1997 ◽  
Vol 12 (12) ◽  
pp. 2135-2291 ◽  
Author(s):  
Gordon W. Semenoff ◽  
Richard J. Szabo
Keyword(s):  
String Theory ◽  
Matrix Models ◽  
Degrees Of Freedom ◽  
Integrable Hierarchies ◽  
Gauge Theories ◽  
Target Space ◽  
Vector Model ◽  
Convergence Properties ◽  
Random Surface ◽  
Large N

We review a class of matrix models whose degrees of freedom are matrices with anti-commuting elements. We discuss the properties of the adjoint fermion one-matrix, two-matrix and gauge-invariant D-dimensional matrix models at large N and compare them with their bosonic counterparts, which are the more familiar Hermitian matrix models. We derive and solve the complete sets of loop equations for the correlators of these models and use these equations to examine critical behavior. The topological large N expansions are also constructed and their relation to other aspects of modern string theory, such as integrable hierarchies, is discussed. We use these connections to discuss the applications of these matrix models to string theory and induced gauge theories. We argue that as such the fermionic matrix models may provide a novel generalization of the discretized random surface representation of quantum gravity in which the genus sum alternates and the sums over genera for correlators have better convergence properties than their Hermitian counterparts. We discuss the use of adjoint fermions instead of adjoint scalars to study induced gauge theories. We also discuss two classes of dimensionally reduced models, a fermionic vector model and a supersymmetric matrix model, and discuss their applications to the branched polymer phase of string theories in target space dimensions D > 1 and also to the meander problem.

A Mathematical Introduction to String Theory

1997 ◽  
Author(s):  
Sergio Albeverio ◽  
Jurgen Jost ◽  
Sylvie Paycha ◽  
Sergio Scarlatti
Keyword(s):  
String Theory

String Theory

1998 ◽  
Author(s):  
Joseph Polchinski
Keyword(s):  
String Theory

String theory tackles strange metals

Nature ◽  
2010 ◽  
Author(s):  
Eugenie Samuel Reich
Keyword(s):  
String Theory

RANDOM SURFACE ANISOTROPY AND THE MAGNETIZATION OF EPITAXIALLY GROWN THIN FILMS

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-1695-C8-1696 ◽  
Author(s):  
J. R. Cullen ◽  
K. B. Hathaway
Keyword(s):  
Thin Films ◽  
Surface Anisotropy ◽  
Random Surface
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