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Article
A systematic construction of curved phase space: A gravitational gauge theory with symplectic form
Journal of Physics: Conference Series
  • Jeffrey S Hazboun, Utah State University
  • James Thomas Wheeler, Utah State University
Document Type
Article
Publication Date
1-1-2012
DOI
10.1088/1742-6596/360/1/012013
Disciplines
Abstract
General relativity can be constructed as a gauge theory using the quotient manifold strategy of [1, 2]. We consider a conformal gauging where the geometry is far richer than normal spacetime, including a symplectic form and the necessary emergence of Lorentzian signature. The resulting 2n-dim manifold constitutes a relativistic phase space, and general relativity is recovered when we demand that the momentum space is flat. However, the full geometry allows for curved phase space.
Comments

Published by Institute of Physics in Journal of Physics: Conference Series and available through link above.

Paper was presented at Loops 11 Conference in Madrid, 23 - 28 May 2011.

Citation Information
Hazboun, J. S., & Wheeler, J. T. (2012). A systematic construction of curved phase space: A gravitational gauge theory with symplectic form. Journal of Physics: Conference Series, 360, 012013. doi:10.1088/1742-6596/360/1/012013