Phase diagram of a lattice U(1) gauge theory with gauge fixing
- Institute of Physics, Humboldt University Berlin, Invalidenstrasse 110, 10115 Berlin (Germany)
- Department of Physics, Washington University, St. Louis, Missouri 63130 (United States)
- School of Physics and Astronomy, Beverly and Raymond Sackler Faculty of Exact Sciences Tel-Aviv University, Ramat Aviv 69978 (Israel)
As a first step towards a nonperturbative investigation of the gauge-fixing (Rome) approach to lattice chiral gauge theories we study a U(1) model with an action that includes a local gauge-fixing term and a mass counterterm for the gauge fields. The model is studied on the trivial orbit so that only the dynamics of the longitudinal gauge degrees of freedom is taken into account. Mean-field and numerical calculations reveal that the phase diagram of this {open_quotes}reduced{close_quotes} model contains, in addition to ferromagnetic (FM), antiferromagnetic (AM) and paramagnetic (PM) phases, also a novel so-called helicoidal ferromagnetic (FMD) phase with broken U(1) symmetry and a nonvanishing condensate of the vector field. The continuum limit is defined by approaching the FM-FMD phase transition from within the FM phase. We show that the global U(1) symmetry is restored in this continuum limit, both numerically and in perturbation theory. The numerical results for the magnetization in the FM and FMD phases are in good agreement with perturbation theory. {copyright} {ital 1998} {ital The American Physical Society}
- OSTI ID:
- 641575
- Journal Information:
- Physical Review, D, Vol. 58, Issue 5; Other Information: PBD: Sep 1998
- Country of Publication:
- United States
- Language:
- English
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