2002/12/02 by M. N. Chernodub, E. -M. Ilgenfritz, E.-M. Ilgenfritz +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #cond-mat #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1016/s0370-2693(03)00059-5
published as Phys.Lett. B555 (2003) 206-214 · 12 pages, 11 figures, LaTeX2e
arxiv created 2002/12/02 · openalex publication_date 2003/02/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02
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 non-zero 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.