114 research outputs found
Finite size analysis of the pseudo specific heat in SU(2) gauge theory
We investigate the pseudo specific heat of SU(2) gauge theory near the
crossover point on to lattices. Several different methods are used
to determine the specific heat. The curious finite size dependence of the peak
maximum is explained from the interplay of the crossover phenomenon with the
deconfinement transition occurring due to the finite extension of the lattice.
In this context we calculate the modulus of the lattice average of the Polyakov
loop on symmetric lattices and compare it to the prediction from a random walk
model.Comment: Talk presented at LATTICE96(finite temperature), 3 pages, 4
Postscript figure
The Pseudo Specific Heat in SU(2) Gauge Theory : Finite Size Dependence and Finite Temperature Effects
We investigate the pseudo specific heat of SU(2) gauge theory near the
crossover point on to lattices. Several different methods are used
to determine the specific heat. The curious finite size dependence of the peak
maximum is explained from the interplay of the crossover phenomenon with the
deconfinement transition occurring due to the finite extension of the lattice.
We find, that for lattices of size and larger the crossover peak is
independent of lattice size at and has a peak height of
. We conclude therefore that the crossover peak is not the
result of an ordinary phase transition. Further, the contributions to
from different plaquette correlations are calculated. We find, that at the peak
and far outside the peak the ratio of contributions from orthogonal and
parallel plaquette correlations is different. To estimate the finite
temperature influence on symmetric lattices far off the deconfinement
transition point we calculate the modulus of the lattice average of the
Polyakov loop on these lattices and compare it to predictions from a random
walk model.Comment: Latex 2e,10 pages including 5 postscript figure
Corrections to Scaling and Critical Amplitudes in SU(2) Lattice Gauge Theory
We calculate the critical amplitudes of the Polyakov loop and its
susceptibility at the deconfinement transition of SU(2) gauge theory. To this
end we carefully study the corrections to the scaling functions of the
observables coming from irrelevant exponents. As a guiding line for determining
the critical amplitudes we use envelope equations derived from the finite size
scaling formulae for the observables. The equations are then evaluated with new
high precision data obtained on N^3 x 4 lattices for N=12,18,26 and 36. We find
different correction-to-scaling behaviours above and below the transition. Our
result for the universal ratio of the susceptibility amplitudes is
C_+/C_-=4.72(11) and agrees perfectly with a recent measurement for the 3d
Ising model.Comment: LATTICE98(hightemp
Direct determination of the gauge coupling derivatives for the energy density in lattice QCD
By matching Wilson loop ratios on anisotropic lattices we measure the
coefficients \cs and \ct, which are required for the calculation of the
energy density. The results are compared to that of an indirect method of
determination. We find similar behaviour, the differences are attributed to
different discretization errors.Comment: Talk presented at LATTICE97(finite temperature), 3 pages, 5
Postscript figure
A Study of Finite Temperature Gauge Theory in (2+1) Dimensions
We determine the critical couplings and the critical exponents of the finite
temperature transition in SU(2) and SU(3) pure gauge theory in (2+1)
dimensions. We also measure Wilson loops at on a wide range of
values using APE smearing to improve the signal. We extract the string tension
from a fit to large distances, including a string fluctuation term.
With these two entities we calculate .Comment: Talk presented at LATTICE96(finite temperature), not espcrc2 style: 7
pages, 4 ps figures, 22 k
The string tension in SU(N) gauge theory from a careful analysis of smearing parameters
We report a method to select optimal smearing parameters before production
runs and discuss the advantages of this selection for the determination of the
string tension.Comment: Contribution to Lat97 poster session, title was 'How to measure the
string tension', 3 pages, 5 colour eps figure
Critical behaviour of SU(2) lattice gauge theory. A complete analysis with the -method
We determine the critical point and the ratios and
of critical exponents of the deconfinement transition in gauge theory
by applying the -method to Monte Carlo data of the modulus and the
square of the Polyakov loop. With the same technique we find from the Binder
cumulant its universal value at the critical point in the thermodynamical
limit to and for the next-to-leading exponent .
From the derivatives of the Polyakov loop dependent quantities we estimate then
. The result from the derivative of is , in
complete agreement with that of the Ising model.Comment: 11 pages, 3 Postscript figures, uses Plain Te
The Calculation of Critical Amplitudes in SU(2) Lattice Gauge Theory
We calculate the critical amplitudes of the Polyakov loop and its
susceptibility at the deconfinement transition of (3+1) dimensional SU(2) gauge
theory. To this end we study the corrections due to irrelevant exponents in the
scaling functions. As a guiding line for determining the critical amplitudes we
use envelope equations which we derive from the finite size scaling formulae of
the observables. We have produced new high precision data on N^3 x 4 lattices
for N=12,18,26 and 36. With these data we find different corrections to the
asymptotic scaling behaviour above and below the transition. Our result for the
universal ratio of the susceptibility amplitudes is C_+/C_-=4.72(11) and thus
in excellent agreement with a recent measurement for the 3d Ising model.Comment: 27 pages, 11 figures, Latex2
Self-stabilizing Overlays for high-dimensional Monotonic Searchability
We extend the concept of monotonic searchability for self-stabilizing systems
from one to multiple dimensions. A system is self-stabilizing if it can recover
to a legitimate state from any initial illegal state. These kind of systems are
most often used in distributed applications. Monotonic searchability provides
guarantees when searching for nodes while the recovery process is going on.
More precisely, if a search request started at some node succeeds in
reaching its destination , then all future search requests from to
succeed as well. Although there already exists a self-stabilizing protocol for
a two-dimensional topology and an universal approach for monotonic
searchability, it is not clear how both of these concepts fit together
effectively. The latter concept even comes with some restrictive assumptions on
messages, which is not the case for our protocol. We propose a simple novel
protocol for a self-stabilizing two-dimensional quadtree that satisfies
monotonic searchability. Our protocol can easily be extended to higher
dimensions and offers routing in hops for any search
request
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