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arXiv · hep-lat/9611013

Wilson--Yukawa Chiral Model on Lattice and Non-commutative Geometry

Jianming Li·Xingchang Song·Ke Wu
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Abstract

Based upon the mathematical formulas of Lattice gauge theory and non-commutative geometry differential calculus, we developed an approach of generalized gauge theory on a product of the spacetime lattice and the two discrete points(or a $Z_2$ discrete group). We introduce a differentiation for non-nearest-neighbour points and find that this differentiation may lead to the introduction of Wilson term in the free fermion Lagrangian on lattice. The Wilson-Yukawa chiral model on lattice is constructed by the generalized gauge theory and a toy model and Smit-Swift model are studied.

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Jianming Li, Xingchang Song, Ke Wu. 1996-11-11. Wilson--Yukawa Chiral Model on Lattice and Non-commutative Geometry. https://arxiv.org/abs/hep-lat/9611013

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