Thermofield dynamics and Gravity

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 $\mathcal{M}\times \tilde{\mathcal{M}}$ 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 2+1 dimensions in some detail and since $\mathcal{M}$ and $\tilde{\mathcal{M}}$ have opposite orientation, the commutative limit leads to the Einstein-Hilbert action as the difference of two Chern-Simons actions.

LaTeX, 26 pages, one figure

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Cited by in corpus (8)

• Unified formalism for Thermal Quantum Field Theories: a geometric viewpoint
• Thermofield Duality for Higher Spin Rindler Gravity
• On skew tau-functions in higher spin theory
• Dynamical Symmetry and the Thermofield State at Large $N$
• Matter-gravity coupling for fuzzy geometry and the Landau-Hall problem
• Diffeomorphisms on Fuzzy Sphere
• Reduced Density Matrices and Phase-Space Distributions in Thermofield Dynamics
• Thermal Lie Superalgebras