No abstract

No abstract

The role of monopoles in the deconfinement transition is discussed in the framework of abelian projection in the maximally abelian gauge in T = 0 SU(2) QCD. Only one (or a few near β c ) long connected monopole loop exists uniformly through the whole lattice in each vacuum configuration in addition to some very short loops in the confinement phase and the long loop disappears in the deep deconfinement region. Energy-entropy balance of the long loops of maximally extended monopoles explains the existence of the deconfinement transition and reproduces roughly the value of the critical temperature

After making an abelian projection in the maximally abelian gauge, we measure the distribution of abelian electric flux and monopole currents around an abelian Wilson loop in SU (2) and SU (3) QCD. The (dual) Meissner effect is observed clearly. The vacua in the confinement phases of SU (2) and SU (3) are both at around the border between type-1 and type-2 (dual) superconductor.

Monopole and photon contributions to abelian Wilson loops are calculated using Monte-Carlo simulations of finite-temperature SU (2) QCD in the maximally abelian gauge. Long monopole loops alone are responsible for the behavior of the string tension in the confinement phase up to the critical β c .Short monopole loops and photons do not contribute to the string tension.The abelian and the monopole spacial string tensions (both of which agree with the normal ones for β < β c ) show a g 4 (T )T 2 scaling behavior in the deconfinement phase. The abelian spacial string tension is in agreement with the full one even in the deconfinement phase. *