Effective Monopole Action at Finite Temperature in SU(2) Gluodynamics

Katsuya Ishiguro, Tsuneo Suzuki, Tateaki Yazawa
2002 Journal of High Energy Physics  
Effective monopole action at finite temperature in SU(2) gluodynamics is studied on anisotropic lattices. Using an inverse Monte-Carlo method and the blockspin transformation for space directions, we determine 4-dimensional effective monopole action at finite temperature. We get an almost perfect action in the continuum limit under the assumption that the action is composed of two-point interactions alone. It depends on a physical scale b_s and the temperature T. The temperature-dependence
more » ... rs with respect to the spacelike monopole couplings in the deconfinement phase, whereas the timelike monopole couplings do not show any appreciable temperature-dependence. The dimensional reduction of the 4-dimensional SU(2) gluodynamics ((SU(2))_4D) at high temperature is the 3-dimensional Georgi-Glashow model ((GG)_3D). The latter is studied at the parameter region obtained from the dimensional red uction. We compare the effective instanton action of (GG)_3D with the timelike monopole action obtained from (SU(2))_4D. We find that both agree very well for T > 2.4T_c at large b region. The dimensional reduction works well also for the effective action.
doi:10.1088/1126-6708/2002/01/038 fatcat:6ta5t47rrrh2zl6aohmeg6ydgu