Abstract
Thermofield dynamics is presented in terms of a path integral using coherent states, equivalently, using a coadjoint orbit action. A field theoretic formulation in terms of fields on a manifold where the two components have opposite orientation is also presented. We propose formulating gravitational dynamics for noncommutative geometry using thermofield dynamics, doubling the Hilbert space modeling the noncommutative space. We consider dimensions in some detail and since and have opposite orientation, the commutative limit leads to the Einstein-Hilbert action as the difference of two Chern-Simons actions.
- Received 18 August 2015
DOI:https://doi.org/10.1103/PhysRevD.92.104009
© 2015 American Physical Society