6 citations · 6 across the 1 of their papers we have counts for
9 papers
Quiver Mechanics for Deconstructed Matrix String
Jian Dai, Yong-Shi Wu
In this paper we propose a quiver model of matrix quantum mechanics with 8 supercharges which, on a Higgs branch, deconstructs the worldsheet of Matrix String Theory. This discrete…
Noncommutative Differential Geometry and Classical Field Theory on Finite Groups
Jian Dai, Xing-Chang Song
Plan of this report is given below: 1. Motivation from Physical and Mathematical Point of View; 2. Differential Calculi on Finite Groups; 3. Metrics; 4. Lagrangian Field Theory and…
Geometric Origin of Staggered Fermion: Direct Product K-Cycle
Jian Dai, Xing-Chang Song
Staggered formalism of lattice fermion can be cast into a form of direct product K-cycle in noncommutative geometry. The correspondence between this staggered K-cycle and a canonic…
A No-Go Theorem for the Compatibility between Involutions of the First Order Differentials on a Lattice and the Continuum Limit
Jian DAI, Xing-Chang SONG
We prove that the following three properties can not match each other on a lattice, that differentials of coordinate functions are algebraically dependent to their involutive conju…
A New Solution to Ginsparg-Wilson Relation from Generalized Staggered Fermion
Jian Dai, Xing-Chang Song
A generalized anti-hermitian staggered Dirac operator is formulated. Its relation with noncommutative geometry is briefly reviewed. Once this anti-hermitian operator is modified to…
Wilson Action of Lattice Gauge Fields with An Additional Term from Noncommutative Geometry
Jian Dai, Xing-Chang Song
Differential structure of lattices can be defined if the lattices are treated as models of noncommutative geometry. The detailed construction consists of specifying a generalized D…