6533b828fe1ef96bd128910c

RESEARCH PRODUCT

Can (noncommutative) geometry accommodate leptoquarks?

Andrzej SitarzFlorian ScheckMario Paschke

subject

Reality structurePhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsHigh Energy Physics::PhenomenologyScalar (mathematics)FOS: Physical sciencesNoncommutative geometryAction (physics)Quantum differential calculusStandard Model (mathematical formulation)Theoretical physicsHigh Energy Physics - Theory (hep-th)Mathematics::K-Theory and HomologyHigh Energy Physics::ExperimentNoncommutative algebraic geometryNoncommutative quantum field theory

description

We investigate the geometric interpretation of the Standard Model based on noncommutative geometry. Neglecting the $S_0$-reality symmetry one may introduce leptoquarks into the model. We give a detailed discussion of the consequences (both for the Connes-Lott and the spectral action) and compare the results with physical bounds. Our result is that in either case one contradicts the experimental results.

10.1103/physrevd.59.035003http://arxiv.org/abs/hep-th/9709009