Phase structure and gauge boson propagator in the radially active 3D compact Abelian Higgs model

M. N. Chernodub, R. Feldmann, E.-M. Ilgenfritz, and A. Schiller
Phys. Rev. D 70, 074501 – Published 1 October 2004

Abstract

Unfreezing the radial degree of freedom, we study the three-dimensional Abelian Higgs model with compact gauge field and fundamentally charged matter. For small quartic Higgs self coupling and finite gauge coupling the model possesses a first order transition from the confined/symmetric phase to the deconfined/Higgs phase separated at some hopping parameter κc. At larger quartic coupling the first order transition ceases to exist, and the behavior becomes similar to that known from the London limit. These observations are complemented by a study of the photon propagator in Landau gauge in the two different regimes. The problems afflicting the gauge fixing procedure are carefully investigated. We propose an improved gauge fixing algorithm which uses a finite subgroup in a preselection/preconditioning stage. As far as the gauge boson propagator is concerned, we find that the radially active Higgs field provides qualitatively no new effect compared to the radially frozen Higgs field studied before.

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  • Received 7 May 2004

DOI:https://doi.org/10.1103/PhysRevD.70.074501

©2004 American Physical Society

Authors & Affiliations

M. N. Chernodub1, R. Feldmann2, E.-M. Ilgenfritz3, and A. Schiller2

  • 1ITEP, B.Cheremushkinskaja 25, Moscow, 117218, Russia
  • 2Institut für Theoretische Physik, Universität Leipzig, D-04109 Leipzig, Germany
  • 3Institut für Physik, Humboldt-Universität zu Berlin, Newtonstr. 15, D-12489 Berlin, Germany

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Vol. 70, Iss. 7 — 1 October 2004

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