45 citations · 128 across the 16 of their papers we have counts for
7 papers · 1 filter
Massive photon and fermion mixing as manifestations of an extra discrete dimension in bilayer systems
Nguyen Ai Viet, Pham Tien Du
Discrete dimension is introduced via an extended Dirac operator to include the interlayer interactions in a geometric framework of generic -dimensional bilayer systems. The ph…
Einstein-Yang-Mills-Dirac systems from the discretized Kaluza-Klein theory
Ai Viet Nguyen, Van Dat Nguyen, Suan Han Nguyen +1
A unified theory of the non-Abelian gauge interactions with gravity in the framework of a discretized Kaluaza-Kleine theory is constructed with a modified Dirac operator and wedge…
Matter Fields in Curved Space-Time
Nguyen Ai Viet, Kameshwar C. Wali
We study the geometry of a two-sheeted space-time within the framework of non-commutative geometry. As a prelude to the Standard Model in curved space-time, we present a model of a…
A Discretized Version of Kaluza-Klein Theory with Torsion and Massive Fields
Nguyen Ai Viet, Kameshwar C. Wali
We consider an internal space of two discrete points in the fifth dimension of the Kaluza-Klein theory by using the formalism of noncommutative geometry developed in a previous pap…
Chern-Simons terms in Noncommutative Geometry and its application to Bilayer Quantum Hall Systems
Varghese John, Nguyen Ai Viet, Kameshwar C. Wali
Considering bilayer systems as extensions of the planar ones by an internal space of two discrete points, we use the ideas of Noncommutative Geometry to construct the gauge theorie…
Noncommutative Geometry and a Discretized Version of Kaluza-Klein Theory with a Finite Field Content
Nguyen Ai Viet, Kameshwar C. Wali
We consider a four-dimensional space-time supplemented by two discrete points assigned to a algebraic structure and develop the formalism of noncommutative geometry. By setti…
Gravity and Electromagnetism in Noncommutative Geometry
Giovanni Landi, Nguyen Ai Viet, Kameshwar C. Wali
We present a unified description of gravity and electromagnetism in the framework of a noncommutative differential calculus. It can be considered as a ``discrete version" of…