Wilson--Yukawa Chiral Model on Lattice and Non-commutative Geometry
High Energy Physics - Lattice
2007-05-23 v1 High Energy Physics - Theory
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 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.
Keywords
Cite
@article{arxiv.hep-lat/9611013,
title = {Wilson--Yukawa Chiral Model on Lattice and Non-commutative Geometry},
author = {Jianming Li and Xingchang Song and Ke Wu},
journal= {arXiv preprint arXiv:hep-lat/9611013},
year = {2007}
}
Comments
16 pages, Latex