The Standard Model from a New Phase Transition on the Lattice

Details The Standard Model from a New Phase Transition on the Lattice The Standard Model from a New Phase Transition on the Lattice

1995-12-13

arxiv.org/abs/hep-lat/9512019v4

Phys.Rev.D57:132-146,1998

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, revtex, one figure. Clarifications made, mainly in sections 3 and 6 that deal with the fermion action, to appear in

Scientific paper

10.1103/PhysRevD.57.132

Several years ago it was conjectured in the so-called Roma Approach, that gauge fixing is an essential ingredient in the lattice formulation of chiral gauge theories. In this paper we discuss in detail how the gauge-fixing approach may be realized. As in the usual (gauge invariant) lattice formulation, the continuum limit corresponds to a gaussian fixed point, that now controls both the transversal and the longitudinal modes of the gauge field. A key role is played by a new phase transition separating a conventional Higgs or Higgs-confinement phase, from a phase with broken rotational invariance. In the continuum limit we expect to find a scaling region, where the lattice correlators reproduce the euclidean correlation functions of the target (chiral) gauge theory, in the corresponding continuum gauge.

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