Evaluation of observables in the Gaussian N = infinity Kazakov-Migdal model

Dobroliubov, M.I.; Morozov, A.; Semenoff, G.W.; Weiss, N.

doi:10.1142/S0217751X9400203X

Evaluation of observables in the Gaussian N = infinity Kazakov-Migdal model

M.I. Dobroliubov
(
- British Columbia U.
)
,
A. Morozov
(
- Moscow, ITEP
)
,
G.W. Semenoff
(
- British Columbia U.
)
,
N. Weiss
(
- British Columbia U.
)

Dec, 1993

22 pages

Published in:

Int.J.Mod.Phys.A 9 (1994) 5033-5052

e-Print:

hep-th/9312145 [hep-th]

DOI:

10.1142/S0217751X9400203X

Report number:

UBC-27-S93,
ITEP-M5-93

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Abstract:

We examine the properties of observables in the Kazakov-Migdal model. We present explicit formulae for the leading asymptotics of adjoint Wilson loops as well as some other observables for the model with a Gaussian potential. We discuss the phase transiton in the large

N

limit of the

d=1

model. One of appendices is devoted to discussion of the

N =\infty

Itzykson-Zuber integrals for arbitrary eigenvalue densities.

Note:

plain LATEX, 22pp, preprint UBC-27/93, ITEP-M5/93

matrix model
Kazakov-Migdal model
Wilson loop
symmetry: Z(N)
symmetry: gauge
analytic properties
expansion 1/N

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