Non-Abelian tensor gauge fields

by Savvidy, G. (Demokritos National Research Centre, Athens)

Thursday 16 Feb 2006, 14:00 → 15:00 Europe/Zurich

TH Auditorium (CERN)

We suggest an extension of non-Abelian gauge transformations which includes non-Abelian tensor gauge fields of higher rank. It will be proved that extended non-Abelian gauge transformations of the tensor gauge fields form a new large group. On this group one can define field strength tensors, which are transforming homogeneously. Two infinite series of gauge invariant forms, quadratic in generalized field strength tensor, can be constructed. A linear sum of these forms comprises a gauge invariant Lagrangian. It describes self-interaction of non-Abelian tensor gauge fields of integer spins 1,2,3,.... It does not contain higher derivatives of the tensor gauge fields, and all interactions take place through three- and four-particle exchanges with dimensionless coupling constant. Possible higher spin extension of the standard model will be discussed.