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Wilson--Yukawa Chiral Model on Lattice and Non-commutative Geometry | | Jianming Li
; Xingchang Song
; Ke Wu
; | | Date: |
11 Nov 1996 | | Subject: | hep-lat hep-th | | 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. | | Source: | arXiv, hep-lat/9611013 | | Services: | Forum | Review | PDF | Favorites | |
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