A UNIFIED GAUGE FIELD LAGRANGIAN FOR ELECTROWEAK STRONG AND GRAVITATIONAL INTERACTION
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Published:1994-03
Issue:01
Volume:03
Page:313-316
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ISSN:0218-2718
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Container-title:International Journal of Modern Physics D
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language:en
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Short-container-title:Int. J. Mod. Phys. D
Affiliation:
1. Physics Department; U.I.A., Universiteit Antwerpen B-2610 Wilrijk, Antwerpen, Belgium
Abstract
Gravity can be descibed as a gauge field theory where connection and curvature are so(2,3)-valued. In the standard gauge field theory for strong and electroweak interaction corresponding quantities take their value in the su(3)⊕su(2)⊕u(1) algebra. Therefore, unification of gravity with the other fundamental interactions is obtained by using the non-compact simple real Lie algebra so*(14)⊃so(2,3)⊕su(3)⊕su(2)⊕u(1) as a unifying algebra. The so*(14) gauge field defined by a connection one-form on the SO*(14) principal fiber bundle unifies the fundamental interactions in particle physics, gravity included. The unified gauge field Lagrangian is defined by the Yang-Mills Weil form on the SO*(14) principal bundle.
Publisher
World Scientific Pub Co Pte Lt
Subject
Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics