scholarly journals SHORT-TIME RELAXATION OF SU(2) LATTICE GAUGE THEORY IN (3 + 1) DIMENSIONS

2000 ◽  
Vol 11 (07) ◽  
pp. 1465-1474 ◽  
Author(s):  
A. JASTER
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Three Dimensional ◽  
Polyakov Loop ◽  
Monte Carlo Algorithm ◽  
Dynamic Relaxation ◽  
Lattice Gauge ◽  
Time Regime ◽  
Short Time ◽  
Ordered State

We investigate the dynamic relaxation for SU(2) gauge theory at finite temperatures in (3 + 1) dimensions. Using the Hybrid Monte Carlo algorithm, we examine the time dependence of the system in the short-time regime. Starting from the ordered state, the critical exponents β, ν and z are calculated from the power law behavior of the Polyakov loop and the cumulant at or near the critical point. The results for the static exponents are in agreement with those obtained from simulations in equilibrium and those of the three-dimensional Ising model. The value for the dynamic critical exponent was determined with z = 2.0(1).

Three-dimensional lattice gauge theory and strings

1984 ◽  
Vol 244 (1) ◽  
pp. 262-276 ◽  
Author(s):  
J. Ambjørn ◽  
P. Olesen ◽  
C. Peterson
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Three Dimensional ◽  
Dimensional Lattice ◽  
Lattice Gauge

scholarly journals Polyakov loop fluctuations in SU(3) lattice gauge theory and an effective gluon potential

2013 ◽  
Vol 88 (7) ◽  
Author(s):  
Pok Man Lo ◽  
Bengt Friman ◽  
Olaf Kaczmarek ◽  
Krzysztof Redlich ◽  
Chihiro Sasaki
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Polyakov Loop ◽  
Lattice Gauge

STUDY OF Z(N) GAUGE THEORIES ON A THREE-DIMENSIONAL PSEUDORANDOM LATTICE

1988 ◽  
Vol 03 (06) ◽  
pp. 1499-1518
Author(s):  
D. PERTERMANN ◽  
J. RANFT
Keyword(s):  
Phase Transitions ◽  
Gauge Theory ◽  
Gauge Theories ◽  
Lattice Gauge Theory ◽  
Three Dimensional ◽  
Expectation Values ◽  
First Order ◽  
Gauge Models ◽  
Lattice Gauge

Using the simplicial pseudorandom version of lattice gauge theory we study simple Z(n) gauge models in D=3 dimensions. In this formulation it is possible to interpolate continuously between a regular simplicial lattice and a pseudorandom lattice. Calculating average plaquette expectation values we look for the phase transitions of the Z(n) gauge models with n=2 and 3. We find all the phase transitions to be of first order, also in the case of the Z(2) model. The critical couplings increase with the irregularity of the lattice.

CRITICAL SHORT-TIME DYNAMICS IN LATTICE GAUGE THEORY

2006 ◽  
Vol 17 (01) ◽  
pp. 1-13 ◽  
Author(s):  
TSUYOSHI OTOBE ◽  
KEISUKE OKANO
Keyword(s):  
Gauge Theory ◽  
Critical Temperature ◽  
Critical Point ◽  
Critical Exponents ◽  
Lattice Gauge Theory ◽  
Time Relaxation ◽  
Time Dynamics ◽  
Lattice Gauge ◽  
Time Scaling ◽  
Short Time

We investigated a critical short-time relaxation in a lattice gauge theory. A systematic procedure of estimating critical point based on the "short-time scaling" is formulated. It is applied to the (2+1)-dimensional SU(2) lattice gauge theory at finite temperature to deduce its critical point. Finally, we studied the short-time relaxation behavior at the critical temperature starting either from "cold" and "hot" initial configuration, and calculated the dynamic critical exponents θ and z, as well as the static exponents β/ν.

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