Exact ground state and string tension in (1 + 1)-dimensional lattice gauge theories

1990 ◽  
Vol 41 (2) ◽  
pp. 564-570 ◽  
Author(s):  
Zheng Bo
Keyword(s):  
Ground State ◽  
Gauge Theories ◽  
String Tension ◽  
Dimensional Lattice ◽  
Lattice Gauge ◽  
Exact Ground State ◽  
Lattice Gauge Theories

scholarly journals Flux tubes in three-dimensional lattice gauge theories

1993 ◽  
Vol 48 (5) ◽  
pp. 2290-2298 ◽  
Author(s):  
Howard D. Trottier ◽  
R. M. Woloshyn
Keyword(s):  
Gauge Theories ◽  
Three Dimensional ◽  
Flux Tubes ◽  
Dimensional Lattice ◽  
Lattice Gauge ◽  
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.

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 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 Confinement and Mott Transitions of Dynamical Charges in One-Dimensional Lattice Gauge Theories

2021 ◽  
Vol 127 (16) ◽  
Author(s):  
Matjaž Kebrič ◽  
Luca Barbiero ◽  
Christian Reinmoser ◽  
Ulrich Schollwöck ◽  
Fabian Grusdt
Keyword(s):  
Gauge Theories ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Lattice Gauge ◽  
Lattice Gauge Theories

CAUSTICS IN A CUBIC SU(2) LATTICE MODEL WITH ANTIPERIODIC BOUNDARY CONDITIONS

1989 ◽  
Vol 04 (17) ◽  
pp. 4607-4626
Author(s):  
B. RAABE
Keyword(s):  
Boundary Conditions ◽  
Ground State ◽  
Weak Coupling ◽  
Gauge Theories ◽  
Semiclassical Approximation ◽  
Hamiltonian Formalism ◽  
Weak Coupling Limit ◽  
Lattice Gauge ◽  
Classical Trajectories ◽  
Lattice Gauge Theories

In order to investigate the weak coupling limit of lattice gauge theories, it has been suggested recently to apply the semiclassical approximation to the Schrödinger equation in the Hamiltonian formalism. This method is used to study pure SU(2) gauge theory on a cube with sides of length one lattice constant and with antiperiodic boundary conditions. We show the existence of caustics, i.e. envelopes of families of classical trajectories where the ground state wave function peaks, and describe their shape.

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