Noncommutative Geometry of Lattice and Staggered Fermions
نویسندگان
چکیده
Differential structure of a d-dimensional lattice, which is essentially a noncommutative exterior algebra, is defined using reductions in first order and second order of universal differential calculus in the context of noncommutative geometry(NCG) developed by Dimakis et al. This differential structure can be realized adopting a Dirac-Connes operator proposed by us recently within Connes’ NCG. With matrix representations being specified, our DiracConnes operator corresponds to staggered Dirac operator, in the case that dimension of the lattice equals to 1, 2 and 4.
منابع مشابه
Noncommutative Geometry of Lattices and Staggered Fermions
Differential structure of a d-dimensional lattice, which essentially is a noncommutative exterior algebra, is defined using both reductions in 1-order plus 2-order of universal differential calculus in the context of NCG developed by Dimakis et al , and the formalism adopting a Dirac-Connes operator proposed by us recently within Connes’ NCG. Metric structure on this lattice and on differential...
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