17 citations · 79 across the 25 of their papers we have counts for
6 papers · 1 filter
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…
Structure and Representation Theory for Double Group of Four-Dimensional Cubic Group
Jian Dai, Xing-Chang Song
Hypercubic groups in any dimension are defined and their conjugate classifications and representation theories are derived. Double group and spinor representation are introduced. A…
Sinle-valued and spinor representations of orientation-preserved four-dimensional cubic group
Jian Dai, Xing-Chang Song
We calculate the single-valued and spinor representations of , the orientation-preserved subgroup of , on the base of our previous work on four-dimensional cubic group $…
Structure and representation theory of double group of four-dimensional cubic group
Jian Dai, Xing-Chang Song
We generalize the concept of cubic group into any dimension and derive their conjugate classifications and representation theorys. Double group and spinor representation are define…