Mixing internal and spacetime transformations: some examples and counterexamples

2008/03/03 by Roberto Percacci, R. Percacci · 2 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #hep-th

paper · pdf · doi:10.1088/1751-8113/41/33/335403

published as J.Phys.A41:335403,2008 · Plain TEX, 6 pages

arxiv created 2008/03/03 · openalex publication_date 2008/07/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

This paper addresses the question of whether in a gauge theory coupled to gravity, internal and spacetime transformations can be mixed. It is shown that if the VEV of the gauge field is flat, the symmetry group is always a product of internal and spacetime symmetries. On the other hand, if the VEV of the gauge field is not flat it is impossible to properly define the notion of 'spacetime' transformations; as a consequence, if the symmetry group is nontrivial, mixing generically occurs.

Cited by

• Chirality in unified theories of gravity
• Towards a Loop Quantum Gravity and Yang–Mills unification

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