Perturbative versus lattice QCD energy density correlators at high temperatures
Abstract
Correlators of magnetic and electric field energy density are investigated for SU( N_{c}) gauge theory at high temperatures T. A separations z ⩽ 2/ T the correlators are shown to be dominated by a powerlaw behavior even for finite gluon screening masses. This continuum behavior is well approximated on current 4 × 16 ^{3}lattices in the perturbative limit and leads to a considerable overestimate of screening masses deduced from fitting the lattice correlators with conventional exponential forms. The use of extended sources and sinks to enhance the signal improves the situation for screening masses m ≫ T but leads to a largely uncontrolled error for masses less than T. In fact, we show that recent lattice QCD data of Grossmann et al., from which a magnetic screening mass m_{M} ∼ 2.9 T was deduced, may even be consistent with a vanishing actual magnetic screening mass.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(95)000732
 arXiv:
 arXiv:nuclth/9409006
 Bibcode:
 1995NuPhB.442..563R
 Keywords:

 Nuclear Theory;
 High Energy Physics  Lattice;
 High Energy Physics  Phenomenology
 EPrint:
 23 pages, 10 figures (uuencoded), preprint CUTP639