DECONFINEMENT TEMPERATURES FOR SMOOTH STRINGS

1989 ◽  
Vol 04 (01) ◽  
pp. 99-106 ◽  
Author(s):  
XIAOAN ZHOU ◽  
K. S. VISWANATHAN
Keyword(s):  
Free Energy ◽  
Riemann Surfaces ◽  
Reasonable Agreement ◽  
Gauge Theories ◽  
Path Integrals ◽  
String Tension ◽  
Monte Carlo Data ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Genus One

Deconfinement temperatures for smooth strings are obtained by analyzing the free energy of a collection of smooth string excitations. This corresponds to evaluating path integrals on genus one Riemann surfaces. We find that [Formula: see text], where σ is the string tension, for closed smooth strings and [Formula: see text] for open smooth strings, in reasonable agreement with Monte Carlo data for SU(3) lattice gauge theories.

scholarly journals LATTICE GAUGE THEORIES AND THE AdS/CFT CORRESPONDENCE

2000 ◽  
Vol 15 (25) ◽  
pp. 3901-3966 ◽  
Author(s):  
M. CASELLE
Keyword(s):  
Gauge Theories ◽  
String Tension ◽  
Yang Mills ◽  
Lattice Gauge ◽  
Lattice Regularization ◽  
Glueball Spectrum ◽  
Lattice Gauge Theories ◽  
Basic Features

This review is devoted to a comparison between lattice gauge theories and AdS/CFT results for the nonperturbative behavior of nonsupersymmetric Yang–Mills theories. It is intended for readers who are assumed not to be experts in LGT. For this reason the first part is devoted to a pedagogical introduction to the Lattice regularization of QCD. In the second part we discuss some basic features of the AdS/CFT correspondence and compare the results obtained in the nonsupersymmetric limit with those obtained on the lattice. We discuss in particular the behavior of the string tension and of the glueball spectrum.

scholarly journals Profiles, potential and string tension of the flux tube in SU(2) and SU(3) lattice gauge theories

2020 ◽  
pp. 15-21
Author(s):  
Sodbileg Chagdaa ◽  
Enkhtuya Galsandorj ◽  
Battogtokh Purev
Keyword(s):  
Critical Temperature ◽  
Field Strength ◽  
Flux Tube ◽  
Gauge Theories ◽  
String Tension ◽  
Temperature Dependent ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Longitudinal Profiles

In this work, we have studied SU(2) and SU(3) gauge theories explaining the colour interaction of a quark and an antiquark, and their identical and dissimilar properties. Using both gauge theories, we have performed simulations under similar conditions and have studied the differences in the results obtained. We have compared the transverse and longitudinal profiles of the chromoelectric and chromomagnetic components of the field strength,  potential, and temperature-dependent string tension of the flux tube. The potential between the quark and antiquark of the SU(3) theory was larger than that of the SU(2) under all temperatures. The string tension of SU(3) tends to stabilize starting from the critical temperature while that of SU(2) has a gradual decreasing feature.

scholarly journals VECTOR INDUCED LATTICE GAUGE THEORIES

1993 ◽  
Vol 08 (29) ◽  
pp. 2793-2801 ◽  
Author(s):  
IGOR PESANDO
Keyword(s):  
Free Energy ◽  
Gauge Theories ◽  
Negative Temperature ◽  
Critical Dimension ◽  
Branched Polymers ◽  
Positive Temperature ◽  
Upper Critical Dimension ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Definition Of

We consider vector induced lattice gauge theories, in particular we consider the QED induced and we show that at negative temperature corresponds to the dimer problem while at positive temperature it describes a gas of branched polymers with loops. We show that the fermionic models have D c = 6 as upper critical dimension for N ≠ ∞ while the N = ∞ model has no upper critical dimension. We also show that the bosonic models without potential are not critical in the range of stability of the integral definition of the partition function but they behave as the fermionic models when we analytically continue the free energy.

Cooling and the string tension in lattice gauge theories

1989 ◽  
Vol 225 (4) ◽  
pp. 403-406 ◽  
Author(s):  
Massimo Campostrini ◽  
Adriano Di Giacomo ◽  
Michele Maggiore ◽  
Haralambos Panagopoulos ◽  
Ettore Vicari
Keyword(s):  
Gauge Theories ◽  
String Tension ◽  
Lattice Gauge ◽  
Lattice Gauge Theories
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