The analysis of Polyakov loop and spin correlators in finite volumes

Details The analysis of Polyakov loop and spin correlators in finite volumes The analysis of Polyakov loop and spin correlators in finite volumes

1993-11-29

arxiv.org/abs/hep-lat/9311055v1

Nucl.Phys.Proc.Suppl. 34 (1994) 298-300

Physics

High Energy Physics

High Energy Physics - Lattice

TALK GIVEN AT THE LATTICE '93 INTERNATIONAL SYMPOSIUM LATTICE FIELD THEORY, DALLAS, USA, OCTOBER 12--16, 1993 3 pages preprint

Scientific paper

10.1016/0920-5632(94)90372-7

We derive an analytic expression for point to point correlation functions of the Polyakov loop based on the transfer matrix formalism. The contributions from the eigenvalues of the transfer matrix including and beyond the mass gap are investigated both for the $2d$ Ising model and in finite temperature $SU(2)$ gauge theory. We find that the leading matrix element shows similar scaling properties in both models. Just above the critical point we obtain for $SU(2)$ a Debye screening mass $~\mu_D/T\approx4~$, independent of the volume. Sorry, figures are not included and can be sent by ordinary mail.

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