17 citations · 79 across the 25 of their papers we have counts for
14 papers · 1 filter
Dirac Neutrino Masses in NCG
Changhui Li, Haogang Ding, Jian Dai +1
Several models in NCG with mild changes to the standard model(SM)are introduced to discuss the neutrino mass problem. We use two constraints, Poincar duality and gauge a…
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…
Canonical Differential Calculi For Finitely Generated Abelian Group and Their Fermionic Representations
Jian Dai, Xing-Chang Song
Canonical differential calculus is defined for finitely generated abelian group with an involution existing consistently. Two such canonical calculi are found out. Fermionic repres…
Spontaneous Symmetry Broken Condition in (De)Constructing Dimensions from Noncommutative Geometry
Jian Dai, Xing-Chang Song
In this short report, a brief introduction to Arkani-Hamed, Cohen, Georgi model (ACG-model, (de)constructing dimensions model), whose main characters are that extra-dimensional spa…
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…