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An alternative path integral for quantum gravity

Krishnan, Chethan and Kumar, Pavan K V and Raju, Avinash (2016) An alternative path integral for quantum gravity. In: JOURNAL OF HIGH ENERGY PHYSICS (10).

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Official URL: http://dx.doi.org/10.1007/JHEP10(2016)043

Abstract

We define a (semi-classical) path integral for gravity with Neumann boundary conditions in D dimensions, and show how to relate this new partition function to the usual picture of Euclidean quantum gravity. We also write down the action in ADM Hamiltonian formulation and use it to reproduce the entropy of black holes and cosmological horizons. A comparison between the (background-subtracted) covariant and Hamiltonian ways of semi-classically evaluating this path integral in flat space reproduces the generalized Smarr formula and the first law. This ``Neumann ensemble'' perspective on gravitational thermodynamics is parallel to the canonical (Dirichlet) ensemble of Gibbons-Hawking and the microcanonical approach of Brown-York.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 17 Feb 2017 09:08
Last Modified: 17 Feb 2017 09:08
URI: http://eprints.iisc.ac.in/id/eprint/56261

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