Lattice Gauge Theories with polynomial Action and their canonical Formulation on the Light Front

Details Lattice Gauge Theories with polynomial Action and their canonical Formulation on the Light Front Lattice Gauge Theories with polynomial Action and their canonical Formulation on the Light Front

1998-03-04

arxiv.org/abs/hep-th/9803035v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTex

Scientific paper

A lattice gauge theory with an action polynomial in independent field variables is considered. The link variables are described by unconstrained complex matrices instead of unitary ones. A mechanism which permits to switch off in the continuous limit the arising extra fields is discussed. The Euclidean version of the theory with an 4-dimensional lattice is described. The canonical form of this theory in Lorentz coordinates with continuous time is given. The canonical formulation in the light-front coordinates is investigated for the lattice in 2-dimensional transverse space and for the 3-dimensional lattice including one of the light-like coordinates. The light-front zero mode problem is considered in the framework of this canonical formulation.

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