6533b834fe1ef96bd129e265

RESEARCH PRODUCT

Differential algebras in non-commutative geometry

N.a. PapadopoulosJ. M. WarzechaW. KalauJ. Plass

subject

High Energy Physics - TheoryPhysicsPure mathematicsDifferential formSpontaneous symmetry breakingFOS: Physical sciencesGeneral Physics and AstronomyOf the formMatrix (mathematics)Tensor productHigh Energy Physics - Theory (hep-th)Mathematics - Quantum AlgebraFOS: MathematicsQuantum Algebra (math.QA)Differential algebraGeometry and TopologySymmetry breakingCommutative propertyMathematical Physics

description

We discuss the differential algebras used in Connes' approach to Yang-Mills theories with spontaneous symmetry breaking. These differential algebras generated by algebras of the form functions $\otimes$ matrix are shown to be skew tensorproducts of differential forms with a specific matrix algebra. For that we derive a general formula for differential algebras based on tensor products of algebras. The result is used to characterize differential algebras which appear in models with one symmetry breaking scale.

yearjournalcountryeditionlanguage
1993-11-19Journal of Geometry and Physics
https://doi.org/10.1016/0393-0440(94)00025-y