Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1997-08-25
Phys.Rev. D58 (1998) 054506
Physics
High Energy Physics
High Energy Physics - Lattice
40 pages, 10 figures, latex, uses epsf.sty
Scientific paper
10.1103/PhysRevD.58.054506
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. The phase diagram of this higher-derivative scalar field theory is determined, both in the mean-field approximation and numerically. The continuum limit of the model corresponds to a continuous phase transition between a ferromagnetic (FM) phase where the global U(1) symmetry is broken, and a so-called helicoidal ferromagnetic (FMD) phase with broken U(1) symmetry and a nonvanishing condensate of the vector field. The global U(1) symmetry is restored in this continuum limit. We show that our data for the magnetization in the FM and FMD phases are in good agreement with perturbation theory.
Bock Wolfgang
Golterman Maarten
Shamir Yigal
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