1,816 research outputs found
Fixed boundary conditions analysis of the 3d Gonihedric Ising model with
The Gonihedric Ising model is a particular case of the class of models
defined by Savvidy and Wegner intended as discrete versions of string theories
on cubic lattices. In this paper we perform a high statistics analysis of the
phase transition exhibited by the 3d Gonihedric Ising model with in the
light of a set of recently stated scaling laws applicable to first order phase
transitions with fixed boundary conditions. Even though qualitative evidence
was presented in a previous paper to support the existence of a first order
phase transition at , only now are we capable of pinpointing the
transition inverse temperature at and of checking the
scaling of standard observables.Comment: 14 pages, 5 tables, 2 figures, uses elsart.cls packag
Monopole Percolation in the Compact Abelian Higgs Model
We have studied the monopole-percolation phenomenon in the four dimensional
Abelian theory that contains compact U(1) gauge fields coupled to unitary norm
Higgs fields. We have determined the location of the percolation transition
line in the plane . This line overlaps the confined-Coulomb
and the confined-Higgs phase transition lines, originated by a
monopole-condensation mechanism, but continues away from the end-point where
this phase transition line stops. In addition, we have determined the critical
exponents of the monopole percolation transition away from the phase transition
lines. We have performed the finite size scaling in terms of the monopole
density instead of the coupling, because the density seems to be the natural
parameter when dealing with percolation phenomena.Comment: 13 pages. REVTeX. 16 figs. included using eps
Numerical simulation of random paths with a curvature dependent action
We study an ensemble of closed random paths, embedded in R^3, with a
curvature dependent action. Previous analytical results indicate that there is
no crumpling transition for any finite value of the curvature coupling.
Nevertheless, in a high statistics numerical simulation, we observe two
different regimes for the specific heat separated by a rather smooth structure.
The analysis of this fact warns us about the difficulties in the interpretation
of numerical results obtained in cases where theoretical results are absent and
a high statistics simulation is unreachable. This may be the case of random
surfaces.Comment: 9 pages, LaTeX, 4 eps figures. Final version to appear in Mod. Phys.
Lett.
Monopole Percolation in pure gauge compact QED
The role of monopoles in quenched compact QED has been studied by measuring
the cluster susceptibility and the order parameter previously
introduced by Hands and Wensley in the study of the percolation transition
observed in non-compact QED. A correlation between these parameters and the
energy (action) at the phase transition has been observed. We conclude that the
order parameter is a sensitive probe for studying the phase
transition of pure gauge compact QED.Comment: LaTeX file + 4 PS figures, 12 pag., Pre-UAB-FT-308 ILL-(TH)-94-1
Chiral transition and monopole percolation in lattice scalar QED with quenched fermions
We study the interplay between topological observables and chiral and Higgs
transitions in lattice scalar QED with quenched fermions. Emphasis is put on
the chiral transition line and magnetic monopole percolation at strong gauge
coupling. We confirm that at infinite gauge coupling the chiral transition is
described by mean field exponents. We find a rich and complicated behaviour at
the endpoint of the Higgs transition line which hampers a satisfactory analysis
of the chiral transition. We study in detail an intermediate coupling, where
the data are consistent both with a trivial chiral transition clearly separated
from monopole percolation and with a chiral transition coincident with monopole
percolation, and characterized by the same critical exponent .
We discuss the relevance (or lack thereof) of these quenched results to our
understanding of the \chupiv\ model. We comment on the interplay of magnetic
monopoles and fermion dynamics in more general contexts.Comment: 29 pages, 13 figures included, LaTeX2e (elsart
Cold atoms in non-Abelian gauge potentials: From the Hofstadter "moth" to lattice gauge theory
We demonstrate how to create artificial external non-Abelian gauge potentials
acting on cold atoms in optical lattices. The method employs internal
states of atoms and laser assisted state sensitive tunneling. Thus, dynamics
are communicated by unitary -matrices. By experimental control of
the tunneling parameters, the system can be made truly non-Abelian. We show
that single particle dynamics in the case of intense U(2) vector potentials
lead to a generalized Hofstadter butterfly spectrum which shows a complex
``moth''-like structure. We discuss the possibility to employ non-Abelian
interferometry (Aharonov-Bohm effect) and address methods to realize matter
dynamics in specific classes of lattice gauge fields.Comment: 5 pages, 3 figure
An Experiment to Evaluate Skylab Earth Resources Sensors for Detection of the Gulf Stream
The author has identified the following significant results. An experiment to evaluate the Skylab earth resources package for observing ocean currents was performed in the Straits of Florida in January 1974. Data from the S190 photographic facility, S191 spectroradiometer and S192 multispectral scanner, were compared with surface observations. The anticyclonic edge of the Gulf Stream could be identified in the Skylab S190A and B photographs, but the cyclonic edge was obscured by clouds. The aircraft photographs were judged not useful for spectral analysis because vignetting caused the blue/green ratios to be dependent on the position in the photograph. The spectral measurement technique could not identify the anticyclonic front, but mass of Florida Bay water which was in the process of flowing into the Straits could be identified and classified. Monte Carlo simulations of the visible spectrum showed that the aerosol concentration could be estimated and a correction technique was devised
The Phases and Triviality of Scalar Quantum Electrodynamics
The phase diagram and critical behavior of scalar quantum electrodynamics are
investigated using lattice gauge theory techniques. The lattice action fixes
the length of the scalar (``Higgs'') field and treats the gauge field as
non-compact. The phase diagram is two dimensional. No fine tuning or
extrapolations are needed to study the theory's critical behovior. Two lines of
second order phase transitions are discovered and the scaling laws for each are
studied by finite size scaling methods on lattices ranging from through
. One line corresponds to monopole percolation and the other to a
transition between a ``Higgs'' and a ``Coulomb'' phase, labelled by divergent
specific heats. The lines of transitions cross in the interior of the phase
diagram and appear to be unrelated. The monopole percolation transition has
critical indices which are compatible with ordinary four dimensional
percolation uneffected by interactions. Finite size scaling and histogram
methods reveal that the specific heats on the ``Higgs-Coulomb'' transition line
are well-fit by the hypothesis that scalar quantum electrodynamics is
logarithmically trivial. The logarithms are measured in both finite size
scaling of the specific heat peaks as a function of volume as well as in the
coupling constant dependence of the specific heats measured on fixed but large
lattices. The theory is seen to be qualitatively similar to .
The standard CRAY random number generator RANF proved to be inadequateComment: 25pages,26figures;revtex;ILL-(TH)-94-#12; only hardcopy of figures
availabl
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