Photon propagator in compact (2+1)-dimensional QED: The effect of wrapping Dirac strings

M. N. Chernodub, E.-M. Ilgenfritz, and A. Schiller
Phys. Rev. D 69, 094502 – Published 13 May 2004
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Abstract

We discuss the influence of closed Dirac strings on the photon propagator in the Landau gauge emerging from a study of the compact U(1) gauge model in 2+1 dimensions. This gauge also minimizes the total length of the Dirac strings. Closed Dirac strings are stable against local gauge-fixing algorithms only due to the torus boundary conditions of the lattice. We demonstrate that these leftover Dirac strings are responsible for the previously observed unphysical behavior of the propagator of spacelike photons (DT) in the deconfinement (high temperature) phase. We show how one can monitor the number N3 of thermal Dirac strings which allows us to separate the propagator measurements into N3 sectors. The propagator in N30 sectors is characterized by a nonzero mass and an anomalous dimension similarly to the confinement phase. Both the mass squared and anomalous dimension are found to be proportional to N3. Consequently, in the N3=0 sector the unphysical behavior of the DT photon propagator is cured and the deviation from the free massless propagator disappears.

  • Received 21 November 2003

DOI:https://doi.org/10.1103/PhysRevD.69.094502

©2004 American Physical Society

Authors & Affiliations

M. N. Chernodub

  • Institute for Theoretical Physics, Kanazawa University, Kanazawa 920-1192, Japan
  • Institute of Theoretical and Experimental Physics, B.Cheremushkinskaya 25, Moscow, 117259, Russia

E.-M. Ilgenfritz

  • Institut für Physik, Humboldt-Universität zu Berlin, D-12489 Berlin, Germany

A. Schiller

  • Institut für Theoretische Physik and NTZ, Universität Leipzig, D-04109 Leipzig, Germany

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Vol. 69, Iss. 9 — 1 May 2004

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