559 research outputs found
Finite Temperature QCD Interfaces Out of Equilibrium
The properties of interfaces in non-equilibrium situations are studied by
constructing a density matrix with a space-dependent temperature. The
temperature gradient gives rise to new terms in the equation for the order
parameter. Surface terms induced in effective actions by abrupt temperature
changes provide a natural theoretical framework for understanding the occurence
of both continuous and discontinuous behavior in the order parameter. Monte
Carlo simulation of pure QCD shows both kinds of interfacial behavior.
Perturbation theory predicts a universal profile in the high temperature phase,
which can be tested by Monte Carlo simulation.Comment: 3 pages, contribution to Lattice '94 conference, self-extracting
(revised only to include heplat number in line below
Center Symmetry and Abelian Projection at Finite Temperature
At finite temperature, there is an apparent conflict between Abelian
projection and critical universality. For example, should the deconfinement
transition of an SU(2) gauge theory projected to U(1) lie in the Z(2)
universality class of the parent SU(2) theory or in the U(1) universality
class? I prove that the projected theory lies in the universality class of the
parent gauge theory. The mechanism is shown to be non-local terms in the
projected effective action involving Polyakov loops. I connect this to the
recent work by Dunne et al. on the deconfinement transition in the 2+1
dimensional Georgi-Glashow model.Comment: 3 pages, no figures, Lattice 2002 conference contribution,
Lattice2002(topology
Phase Structure of Confining Theories on R^3 x S^1
Recent work on QCD-like theories on R^3 x S^1 has revealed that a confined
phase can exist when the circumference L of S^1 is sufficiently small. Adjoint
QCD and double-trace deformation theories with certain conditions are such
theories, and we present some new results for their phase diagrams. First we
show the connection between the large-L and small-L confined regions in the
phase diagram of SU(3) adjoint QCD using Polyakov-Nambu-Jona Lasinio models.
Then we consider an SU(2) double-trace deformation theory with adjoint scalars
and study conflicts between the Higgs and small-L confined phase.Comment: 3 pages, 2 figures. Talk given at the IX International Conference on
Quark Confinement and Hadron Spectrum - Madrid, Spain, 30 Aug 2010 - 03 Sep
201
The sign problem and Abelian lattice duality
For a large class of Abelian lattice models with sign problems, including the
case of non-zero chemical potential, duality maps models with complex actions
into dual models with real actions. For extended regions of parameter space,
calculable for each model, duality resolves the sign problem for both analytic
methods and computer simulations. Explicit duality relations are given for
models for spin and gauge models based on Z(N) and U(1) symmetry groups. The
dual forms are generalizations of the Z(N) chiral clock model and the lattice
Frenkel-Kontorova model, respectively. From these equivalences, rich sets of
spatially-modulated phases are found in the strong-coupling region of the
original models.Comment: Latex, 7 pages, 1 figure. Presented at the 31st International
Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013,
Mainz, German
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