4 papers
Gauge theories in noncommutative geometry and generalization of the Born-Infeld model
Emmanuel Serie
Endomorphisms algebras can replace the concept of principal fiber bundle. Gauge theories are reformulated within this algebraic framework and further generalized to unify ordinary…
Born-Infeld inspired bosonic action in a noncommutative geometry
Emmanuel Serie, Thierry Masson, Richard Kerner
The Born-Infeld lagrangian for non-abelian gauge theory is adapted to the case of the generalized gauge fields arising in non-commutative matrix geometry. Basic properties of stati…
Invariant noncommutative connections
Thierry Masson, Emmanuel Serie
In this paper we classify invariant noncommutative connections in the framework of the algebra of endomorphisms of a complex vector bundle. It has been proven previously that this…
Non-Abelian generalization of Born-Infeld theory inspired by non-commutative geometry
Emmanuel Serie, Thierry Masson, Richard Kerner
We present a new non-abelian generalization of the Born-Infeld Lagrangian. It is based on the observation that the basic quantity defining it is the generalized volume element, com…