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arXiv · hep-th/9803035

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

V. A. Franke·S. A. Paston·E. V. Prokhvatilov
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Abstract

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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V. A. Franke, S. A. Paston, E. V. Prokhvatilov. 1998-03-04. Lattice Gauge Theories with polynomial Action and their canonical Formulation on the Light Front. https://arxiv.org/abs/hep-th/9803035

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