Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2003-11-21
Phys.Rev. D69 (2004) 094502
Physics
High Energy Physics
High Energy Physics - Lattice
13 pages, 13 figures, 1 table
Scientific paper
10.1103/PhysRevD.69.094502
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 left-over Dirac strings are responsible for the previously observed unphysical behavior of the propagator of space-like photons (D_T) in the deconfinement (high temperature) phase. We show how one can monitor the number N_3 of thermal Dirac strings which allows to separate the propagator measurements into N_3 sectors. The propagator in N_3 \neq 0 sectors is characterized by a non--zero mass and an anomalous dimension similarly to the confinement phase. Both mass squared and anomalous dimension are found to be proportional to N_3. Consequently, in the N_3=0 sector the unphysical behavior of the D_T photon propagator is cured and the deviation from the free massless propagator disappears.
Chernodub Maxim N.
Ilgenfritz Ernst-Michael
Schiller Avraham
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