More on String Breaking in the 3D Abelian Higgs Model: the Photon Propagator

Abstract

We study the Landau gauge photon propagator in the three--dimensional Abelian Higgs model with compact gauge field and fundamentally charged matter in the London limit. The total gauge field is split into singular and regular parts. On the confinement side of the string breaking crossover the momentum dependence of the total propagator is characterized by an anomalous dimension similarly to 3D compact QED. At the crossover and throughout the Higgs region the anomalous dimension disappears. This result perfectly agrees with recent observations that the monopole--antimonopole plasma leads to nonzero anomalous dimension and the presence of the matter fields causes monopole pairing into dipole bound states. The Yukawa mass characterizing the propagator part from regular gauge fields is non-vanishing at the Higgs side and coincides with the mass found for the total propagator. The regular gauge field without anomalous dimension becomes massless at the crossover and in the confinement region.

arXiv comment12 pages, 11 figures, LaTeX2e

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• CP^1+U(1) Lattice Gauge Theory in Three Dimensions: Phase Structure, Spins, Gauge Bosons, and Instantons
• The compact Q=2 Abelian Higgs model in the London limit: vortex-monopole chains and the photon propagator
• Metal-Insulator Transition in Two- and Three-Dimensional Logarithmic Plasmas
• Monopole Chains in the Compact Abelian Higgs Model with doubly-charged Matter Field
• Instanton correlators and phase transitions in two- and three-dimensional logarithmic plasmas
• Matter degrees of freedom and string breaking in Abelian projected quenched SU(2) QCD
• Phase Structure and Gauge Boson Propagator in the radially active 3D compact Abelian Higgs Model
• The photon propagator in compact QED_{2+1}: the effect of wrapping Dirac strings
• Numerical study of gluon propagators in Maximally Abelian gauge