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Free Variables and the Two Matrix Model
M. R. Douglas, M. Li
We study the full set of planar Green's functions for a two-matrix model using the language of functions of non-commuting variables. Both the standard Schwinger-Dyson equations and…
Stochastic Master Fields
Michael R. Douglas
We treat the stochastic equation for large N master fields proposed by Greensite and Halpern using a construction of master fields modelled after work of Voiculescu, and show that…
Large N Gauge Theory -- Expansions and Transitions
Michael R. Douglas
We use solvable two-dimensional gauge theories to illustrate the issues in relating large N gauge theory to string theory. We also give an introduction to recent mathematical work…
Chern-Simons-Witten Theory as a Topological Fermi Liquid
Michael R. Douglas
We reinterpret U(N) Chern-Simons-Witten theory quantized on a torus as a free fermion system. Its Hilbert space and some observables are simply related to those of group quantum me…
Some Comments on QCD String
Michael R. Douglas
We try to draw lessons for higher dimensions from the string representations recently derived for large Yang-Mills theory by Gross and Taylor, Kostov, and others, and call atte…
Generalized Two-Dimensional QCD
Michael R. Douglas, Keke Li, Matthias Staudacher
We study two-dimensional gauge theories with fundamental fermions and a general first order gauge-field Lagrangian. For the case of U(1) we show how standard bosonization of the Sc…