New coherent states and modified heat equations

Pittelli, Antonio; Sindoni, Lorenzo

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New coherent states and modified heat equations

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Sindoni, Lorenzo
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1301.3113
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Pittelli, A., & Sindoni, L. (in preparation). New coherent states and modified heat equations.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000E-E9AE-2

Abstract

We clarify the relations between certain new coherent states for loop quantum gravity and the analytically continued heat kernel coherent states, highlighting the underlying general construction, the presence of a modified heat equation as well as the way in which the properties of the heat kernels are automatically inherited by these new states.