472 research outputs found
Collective field approach to gauged principal chiral field at large N
The lattice model of principal chiral field interacting with the gauge
fields, which have no kinetic term, is considered. This model can be regarded
as a strong coupling limit of lattice gauge theory at finite temperature. The
complete set of equations for collective field variables is derived in the
large N limit and the phase structure of the model is studied.Comment: LaTex (no figures), preprint SMI-94-7, 10 p
String Breaking from Ladder Diagrams in SYM Theory
The AdS/CFT correspondence establishes a string representation for Wilson
loops in N=4 SYM theory at large N and large 't Hooft coupling. One of the
clearest manifestations of the stringy behaviour in Wilson loop correlators is
the string-breaking phase transition. It is shown that resummation of planar
diagrams without internal vertices predicts the strong-coupling phase transtion
in exactly the same setting in which it arises from the string representation.Comment: 15 pages, 5 figures; v2: misprint in eq. (3.9) corrected; v4:
treatment of inhomogeneous term in the Dyson equation modifie
Level Crossing in Random Matrices: I. Random perturbation of a fixed matrix
We consider level crossing in a matrix family where
is a fixed matrix and belongs to one of the standard Gaussian
random matrix ensembles. We study the probability distribution of level
crossing points in the complex plane of , for which we obtain a number
of exact, asymptotic and approximate formulas.Comment: 35 pages, 16 figures; v2: Introduction and sec. 3.3 expanded, refs.
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