A systematic construction of curved phase space: A gravitational gauge theory with symplectic form

Authors

Jeffrey S. Hazboun, Utah State UniversityFollow
James Thomas Wheeler, Utah State UniversityFollow

Document Type

Article

Journal/Book Title/Conference

Journal of Physics: Conference Series

Volume

360

Publication Date

2012

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.

Recommended Citation

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