Lagrangian Formalism on Jet-Gauge and Jet-Diffeomorphism Groups: Towards a Unification of Gravity with Internal Gauge Interactions
V. Aldaya, E. Sanchez-Sastre
Abstract
In this talk the description of gauge theories associated with internal symmetries is extended to the case in which the symmetry group is the space-time translation group (recovering Einstein's theory) using the standard jet-bundle formalism. We also reformulate these theories introducing the idea of jet-gauge and jet-diffeomorphism groups. Finally, we attempt to a simple, yet non-trivial, mixing of gravity and electromagnetism (or more general internal interaction) by turning to gauge symmetry a central extension of the Poincare group.
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