166 research outputs found
Block Spin Effective Action for Polyakov Loops in 4D SU(2) LGT
Using a variant of the IMCRG method of Gupta and Cordery, we explicitly
compute majority rule block spin effective actions for the signs of the
Polyakov loops in 4D SU(2) finite temperature lattice gauge theories. To the
best of our knowledge, this is the first attempt to compute numerically
effective actions for the Polyakov loop degrees of freedom in 4D SU(2). The
most important observations are: 1. The renormalization group flow at the
deconfinement transition can be nicely matched with the flow of the 3D Ising
model, thus confirming the Svetitsky-Yaffe conjecture. 2. The IMCRG simulations
of the FT SU(2) model have strongly reduced critical slowing down.Comment: Contribution to the Lattice 97 proceedings, LaTeX, 3 pages, 3
figures, uses espcrc2.sty, epsfig.st
The Width of the Colour Flux Tube
We discuss and rederive in a general way the logarithmic growth of the mean
squared width of the colour flux tube as a function of the interquark
separation. Recent data on 3D gauge theory, combined with high precision
data on the interface physics of the 3D Ising model fit nicely this behaviour
over a range of more than two orders of magnitude.Comment: 3 pages, contribution to the Lattice '94 conference, uuencoded
compressed ps-fil
Nature of the Vacuum inside the Color Flux Tube
The interior of the color flux tube joining a quark pair can be probed by
evaluating the correlator of pair of Polyakov loops in a vacuum modified by
another Polyakov pair, in order to check the dual superconductivity conjecture
which predicts a deconfined, hot core. We also point out that at the critical
point of any 3D gauge theories with a continuous deconfining transition the
Svetitsky-Yaffe conjecture provides us with an analytic expression of the
Polyakov correlator as a function of the position of the probe inside the flux
tube. Both these predictions are compared with numerical results in 3D Z2 gauge
model finding complete agreement.Comment: 3 pages, Talk presented at LATTICE96(topology
On the relation between the width of the flux tube and in lattice gauge theories
Within the framework of a quantum flux tube model for the interquark
potential it is possible to predict that in (2+1) dimensions the space-like
string tension must increase with the temperature in the deconfined phase and
that the thickness of the flux tube must coincide with the inverse of the
deconfinement temperature. Both these predictions are in good agreement with
some recent numerical simulations of SU(2) and gauge models.Comment: 3 pages, uuencoded .ps file (Proceeding of Lattice '93 Conference
Finite Size Effects in Fluid Interfaces
It is shown that finite size effects in the free energy of a rough interface
of the 3D Ising and three--state Potts models are well described by the
capillary wave model at {\em two--loop} order. The agreement between
theoretical predictions and Monte Carlo simulations strongly supports the idea
of the universality of this description of order--order interfaces in 3D
statistical systems above the roughening temperature.Comment: 3 pages, uuencoded .ps file, figures included. (Proceeding of Lattice
'93
Rough Interfaces Beyond the Gaussian Approximation
We compare predictions of the Capillary Wave Model with Monte Carlo results
for the energy gap and the interface energy of the 3D Ising model in the
scaling region. Our study reveals that the finite size effects of these
quantities are well described by the Capillary Wave Model, expanded to two-loop
order (one order beyond the Gaussian approximation).Comment: Contribution to LATTICE 94. 3 pages, PostScript fil
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