Study of gauge (in)dependence of monopole dynamics.pdf

Study of gauge (in)dep endence of monop ole dynamics Shinji Ejiri a , Shun-ichi Kitahara a , Yoshimi Matsubara b , Tsuyoshi Okude a , Tsuneo Suzuki a and Ko ji Yasuta a a Department of Physics, Kanazawa University, Kanazawa 920-11, Japan b Nanao Junior College, Nanao, Ishikawa 926, Japan We investigated the gauge (in)dep endence of the connement mechanism due to monop ole condensation in SU(2) lattice QCD by various ab elian pro jections. We found (1) the string tension can b e repro duced by monop oles alone also in Polyakov gauge and (2) the b ehaviors of the Poly akov lo op at the critical temp erature seem to b e explained by the uniformity breaking of the monop ole currents in every gauge. 1. Intro duction Results in MA gauge Many p eople b elieve that the quark conne- string tension 90 Suzuki-Yotsuyanagi[3], ment mechanism in QCD can b e understo o d as  91 Hioki et al.[4], 5 dual Meissner eect due to ab elian monop ole 92 Suzuki[5], 9 condensation. And this picture is supp orted by 94 Shiba-Suzuki[6], p recent Monte-Carlo simulations of ab elian pro- 94 Ejiri et al.[7], e jected QCD in maximally ab elian gauge (MA Polyakov lo op 91 Hioki et al.[4], S gauge). There are innite ways of ab elian pro jec- hPi and Tc 92 Suzuki[5], 2 tion extracting an ab elian comp onent. If ab elian 94 Suzuki et al.[8], 1 monopole condensation is really the connement quark condensate 94 Miyamura[9], mechanism in QCD, it must b e indep endent