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Lagrangian Formalism on Jet-Gauge and Jet-Diffeomorphism Groups: Towards a Unification of Gravity with Internal Gauge Interactions

2005/07/29 by V. Aldaya, Aldaya, V., E. Sanchez-Sastre +1
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0507129

Plenary talk presented at Workshop on High Energy Physics&Field Theory (Protvino, Russia, 2004)

arxiv created 2005/07/29 · arxiv updated 2009/12/01

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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