44 research outputs found
Correlators of the Kazakov-Migdal Model
We derive loop equations for the one-link correlators of gauge and scalar
fields in the Kazakov-Migdal model. These equations determine the solution of
the model in the large N limit and are similar to analogous equations for the
Hermitean two-matrix model. We give an explicit solution of the equations for
the case of a Gaussian, quadratic potential. We also show how similar
calculations in a non-Gaussian case reduce to purely algebraic equations.Comment: 14 pages, ITEP-YM-3-9
Evaluation of Observables in the Gaussian Kazakov-Migdal Model
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 limit of the model. One of
appendices is devoted to discussion of the Itzykson-Zuber integrals
for arbitrary eigenvalue densities.Comment: plain LATEX, 22pp, preprint UBC-27/93, ITEP-M5/9
Investigations of Pairing in Anyon Systems
We investigate pairing instabilities in the Fermi-liquid-like state of a
single species of anyons. We describe the anyons as Fermions interacting with a
Chern-Simons gauge field and consider the weak coupling limit where their
statistics approaches that of Fermions. We show that, within the conventional
BCS approach, due to induced repulsive Coulomb and current-current
interactions, the attractive Aharonov-Bohm interaction is not sufficient to
generate a gap in the Fermion spectrum.Comment: (11 pages, 2 Figures not included
Search for Millicharged Particles at SLAC
Particles with electric charge q < 10^(-3)e and masses in the range 1--100
MeV/c^2 are not excluded by present experiments. An experiment uniquely suited
to the production and detection of such "millicharged" particles has been
carried out at SLAC. This experiment is sensitive to the infrequent excitation
and ionization of matter expected from the passage of such a particle. Analysis
of the data rules out a region of mass and charge, establishing, for example, a
95%-confidence upper limit on electric charge of 4.1X10^(-5)e for millicharged
particles of mass 1 MeV/c^2 and 5.8X10^(-4)e for mass 100 MeV/c^2.Comment: 4 pages, REVTeX, multicol, 3 figures. Minor typo corrected. Submitted
to Physical Review Letter
Difficulties in Inducing a Gauge Theory at Large N
It is argued that the recently proposed Kazakov-Migdal model of induced gauge
theory, at large , involves only the zero area Wilson loops that are
effectively trees in the gauge action induced by the scalars. This retains only
a constant part of the gauge action excluding plaquettes or anything like them
and the gauge variables drop out.Comment: 6 pages, Latex, AZPH-TH/93-01, COLO-HEP/30
The Spatial String Tension in High Temperature Lattice Gauge Theories
We develop some techniques which allow an analytic evaluation of space-like
observables in high temperature lattice gauge theories. We show that such
variables are described extremely well by dimensional reduction. In particular,
by using results obtained in the context of ``Induced QCD'', we evaluate the
contributions to space-like observables coming from the Higgs sector of the
dimensionally reduced action, we find that they are of higher order in the
coupling constant compared to those coming from the space-like action and hence
neglegible near the continuum limit. In the case of SU(2) gauge theory our
results agree with those obtained through Montecarlo simulations both in (2+1)
and (3+1) dimensions and they also indicate a possible way of removing the gap
between the two values of recently appeared in the literature.Comment: 17 pages, (Latex), DFTT 8/9
The Kazakov-Migdal Model as a High Temperature Lattice Gauge Theory
We show that the Kazakov-Migdal (K-M) induced gauge model in dimensions
describes the high temperature limit of ordinary lattice gauge theories in
dimensions. The matter fields are related to the Polyakov loops, while
the spatial gauge variables become the gauge fields of the K-M model. This
interpretation of the K-M model is in agreement with some recent results in
high temperature lattice QCD.Comment: 12 pages, plain latex, DFTT 71/9
Z_N Phases in Hot Gauge Theories
We argue that the \zn phases of hot gauge theories cannot be realized as a
real system with an Hermitean density matrix.Comment: 7 page
Generalized Penner models to all genera
We give a complete description of the genus expansion of the one-cut solution
to the generalized Penner model. The solution is presented in a form which
allows us in a very straightforward manner to localize critical points and to
investigate the scaling behaviour of the model in the vicinity of these points.
We carry out an analysis of the critical behaviour to all genera addressing all
types of multi-critical points. In certain regions of the coupling constant
space the model must be defined via analytical continuation. We show in detail
how this works for the Penner model. Using analytical continuation it is
possible to reach the fermionic 1-matrix model. We show that the critical
points of the fermionic 1-matrix model can be indexed by an integer, , as it
was the case for the ordinary hermitian 1-matrix model. Furthermore the 'th
multi-critical fermionic model has to all genera the same value of
as the 'th multi-critical hermitian model. However, the
coefficients of the topological expansion need not be the same in the two
cases. We show explicitly how it is possible with a fermionic matrix model to
reach a multi-critical point for which the topological expansion has
alternating signs, but otherwise coincides with the usual Painlev\'{e}
expansion.Comment: 27 pages, PostScrip