Post-Riemannian merger of Yang-Mills interactions with gravity

by Ofer MEGGED (Tel Aviv)

Thursday 31 Aug 2000, 14:00 → 14:15 Europe/Zurich

TH Auditorium (CERN)

We show that a space-time with torsion and non-metricity, obtained as a deformation of a Riemannian space-time, accommodates an internal symmetry structure of the Yang-Mills prototype in such a way that the internal symmetry becomes an integral part of the space-time itself. In particular, the space-time structural identities remain invariant with respect to internal gauge transformations. The construction encrusts the internal degrees of freedom in space-time in such a way as to merge the gauging of these internal degrees of freedom with the frame geometrical gauges of space-time. In a Weyl Cartan space-time the theory regains the original conceptual structure of Einstein's equations, in which ``matter'' sources on the r.h.s. determine on the l.h.s the geometry of space-time and the fields it induces. In a genuine post-Riemannian space-time the connection at the internal symmetry sector becomes scale-dependent; the presence of an Abelian component in it gives rise to new contributions of gravitational magnitude in the interaction between the Yang-Mills field and gravity. The merger of space-time with internal degrees of freedom, which we propose here, is not constrained by the usual Coleman-Mandula considerations.