Topology at the deconfinement transition uncovered by inverse blocking in SU(2) pure gauge theory with fixed point action Original Research Article

Renormalization group transformations as discussed recently in deriving fixed point actions are used to analyze the vacuum structure near the deconfinement temperature. Monte Carlo configurations are generated using the fixed point action. We compare equilibrium configurations with configurations obtained by inverse blocking from a coarser lattice. The absence of short range vacuum fluctuations in the latter does not influence the string tension. For the inversely blocked configurations we find the following: (i) the topological susceptibility Xtop is consistent with the phenomenological value in the confinement phase, (ii) Xtop drops across the deconfinement transition, (iii) density and size of instantons are estimated, (iv) the topological density is found to be correlated to Abelian monopole currents and (v) the density of spacelike monopole currents becomes a confinement order parameter.