The Analysis of Polyakov loop and spin correlators in finite volumes

Nov, 1993
6 pages
Published in:
  • Nucl.Phys.B Proc.Suppl. 34 (1994) 298-300
e-Print:
Report number:
  • HU-BERLIN-IEP-93-5,
  • BI-TP-93-63

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Abstract:
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 2d2d Ising model and in finite temperature SU(2)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)SU(2) a Debye screening mass μD/T4\mu_D/T\approx4, independent of the volume. Sorry, figures are not included and can be sent by ordinary mail.
  • talk
  • lattice field theory
  • Polyakov loop
  • transfer matrix
  • correlation function: spin
  • spin: correlation function
  • Ising model
  • dimension: 2
  • gauge field theory: SU(2)
  • finite temperature