Block Spin Effective Action for Polyakov Loops in 4D SU(2) LGT

Details Block Spin Effective Action for Polyakov Loops in 4D SU(2) LGT Block Spin Effective Action for Polyakov Loops in 4D SU(2) LGT

1997-09-03

arxiv.org/abs/hep-lat/9709006v1

Nucl.Phys.Proc.Suppl. 63 (1998) 457-459

Physics

High Energy Physics

High Energy Physics - Lattice

Contribution to the Lattice 97 proceedings, LaTeX, 3 pages, 3 figures, uses espcrc2.sty, epsfig.sty

Scientific paper

10.1016/S0920-5632(97)00801-3

Using a variant of the IMCRG method of Gupta and Cordery, we explicitly compute majority rule block spin effective actions for the signs of the Polyakov loops in 4D SU(2) finite temperature lattice gauge theories. To the best of our knowledge, this is the first attempt to compute numerically effective actions for the Polyakov loop degrees of freedom in 4D SU(2). The most important observations are: 1. The renormalization group flow at the deconfinement transition can be nicely matched with the flow of the 3D Ising model, thus confirming the Svetitsky-Yaffe conjecture. 2. The IMCRG simulations of the FT SU(2) model have strongly reduced critical slowing down.

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