3 citations · 6 across the 10 of their papers we have counts for
12 papers
On the Non-Commutative Geometry of the Electroweak Interaction
Gustavo Amilcar Saldaña Moncada
In differential geometry, the underlying mathematical structure behind the electroweak theory is a trivial principal --bundle over with the Minkowski met…
Two Non--Commutative U(1)-Gauge Laplacians in the Quantum Hyperboloid
Gustavo Amilcar Saldaña Moncada
In this paper, we will characterize the spectrum of two --gauge Laplacians, which do not commute with each other, on the upper sheet of a two--sheet quantum hyperboloid equip…
Yang--Mills--Connes Theory and Quantum Principal --Bundles over Toric Non--Commutative Manifolds
Gustavo Amilcar Saldaña Moncada
This paper has two main objectives. The first one is to show that the Connes formulation of Dirac theory can be applied in the framework of quantum principal bundles for any n dime…
Some Constructions on Quantum Principal Bundles
Gustavo Amilcar Saldaña Moncada
This paper works as an appendix of the paper titled Geometry of Associated Quantum Vector Bundles and the Quantum Gauge Group and for paper titled Yang-Mills-Connes Theory and Quan…
Electromagnetic Theory with Quantum Principal Bundles
Gustavo Amilcar Saldaña Moncada
The aim of this paper is to formulate a {\it non--commutative geometrical} version of the classical electromagnetic field theory in the vacuum with the Moyal--Weyl algebra as the s…
On Connections and their Curvatures
Gustavo Amilcar Saldaña Moncada, Gregor Weingart
This paper presents a brief study on connections on fiber, principal and vector smooth bundles as well as some relations with their curvatures.
Yang-Mills-Scalar-Matter Fields in the Quantum Hopf Fibration
Gustavo Amilcar Saldaña Moncada
In this paper we present solutions to the non-commutative geometrical version of the Yang-Mills-Scalar-Matter theory in the Hopf fibration using the --calculus.
Superconductivity in the layered cage compound Ba3Rh4Ge16
Yi Zhao, Jun Deng, A. Bhattacharyya +9
We report the synthesis and superconducting properties of a layered cage compound Ba3Rh4Ge16. Similar to Ba3Ir4Ge16, the compound is composed of 2D networks of cage units, formed b…
Quantum Principal Bundles and Yang-Mills-Scalar-Matter Fields
Gustavo Amilcar Saldaña Moncada
This paper aims to develop a non-commutative geometrical version of the theory of Yang--Mills--Scalar--Matter fields. To accomplish this purpose, we will dualize the geometrical fo…
Geometry of Associated Quantum Vector Bundles and the Quantum Gauge Group
Gustavo Amilcar Saldaña Moncada
It is well--known that if one is given a principal --bundle with a principal connection, then for every unitary finite--dimensional linear representation of one can induce a…
Functoriality of Quantum Principal Bundles and Quantum Connections
Gustavo Amilcar Saldaña Moncada
Within the framework of Category Theory, we study the association between finite--dimensional representations of a compact quantum group and quantum vector bundles endowed with qua…
Functoriality of Principal Bundles and Connections
Gustavo Amilcar Saldaña Moncada, Gregor Weingart
Perhaps the most important contribution of gauge theory to general mathematics is to point out the importance of association functors. Emphasizing category theory we characterize a…