ar X iv : h ep - l at / 9 71 20 14 v 1 1 2 D ec 1 99 7

ar X iv : d g - ga / 9 71 20 20 v 1 3 0 D ec 1 99 7 Weinstein Conjecture and GW Invariants

ar X iv : h ep - l at / 9 71 20 23 v 1 1 9 D ec 1 99 7 Submitted to Phys . Rev . Lett . Temperature dependence of instantons in QCD

We investigate the temperature dependence of the instanton contents of gluon fields, using unquenched lattice QCD and the cooling method. The instanton size parameter deduced from the correlation function decreases from 0.44fm below the phase-transition temperature T c (≈ 150MeV) to 0.33fm at 1.3 T c. The instanton charge distribution is Poissonian above T c , but it deviates from the convolute...

ar X iv : h ep - p h / 99 12 28 8 v 2 1 5 D ec 1 99 9 Lattice Calculations and Hadron Physics

ar X iv : m at h / 99 07 08 5 v 2 [ m at h . G R ] 1 7 D ec 1 99 9 LOOPS AND SEMIDIRECT PRODUCTS

ar X iv : h ep - l at / 9 91 20 16 v 1 9 D ec 1 99 9 NON PERTURBATIVE QCD

This series of lectures consists of two parts. In the first part the foundations of perturbative and non perturbative formulation are discussed. The ambiguity in the definition of vacuum condensates is then analyzed. In the second part the symmetry patterns of the deconfining phase transition are discussed.