Måns Flensburg, Anders Irbäck and Carsten Peterson
The effective string and SU(2) lattice MC data
Zeitschrift für Physik C36, 629–637 (1987)
Abstract:
We present high statistics MC calculations of the static potential in three-dimensional SU(2) for a wide range of β values on a 243 lattice. The deviations from area law are unambiguously demonstrated by use of 2nd lattice R derivative. After a clear crossover at β=4.5 the data show signs of an effective string roughening up to β=6.5, while scaling is not strictly obeyed in this interval. Pure fermionic strings do not provide better fits. The effect of regularization prescription on the effective string model up to two-loop correction is discussed and is found to be small. We also make a comparative study of existing data on Z(2) and SU(3) together with new data on four-dimensional SU(2) presented here. It is pointed out that standard variance reduction methods as applied especially to Wilson lines are plagued by severe long range auto-correlations, whereas larger Wilson loops are less affected.
LU TP 87-03
We present high statistics MC calculations of the static potential in three-dimensional SU(2) for a wide range of β values on a 243 lattice. The deviations from area law are unambiguously demonstrated by use of 2nd lattice R derivative. After a clear crossover at β=4.5 the data show signs of an effective string roughening up to β=6.5, while scaling is not strictly obeyed in this interval. Pure fermionic strings do not provide better fits. The effect of regularization prescription on the effective string model up to two-loop correction is discussed and is found to be small. We also make a comparative study of existing data on Z(2) and SU(3) together with new data on four-dimensional SU(2) presented here. It is pointed out that standard variance reduction methods as applied especially to Wilson lines are plagued by severe long range auto-correlations, whereas larger Wilson loops are less affected.
LU TP 87-03