An Alternate Path Integral for Quantum Gravity

Autor:	Krishnan, Chethan, Kumar, K. V. Pavan, Raju, Avinash
Rok vydání:	2016
Předmět:	High Energy Physics - Theory General Relativity and Quantum Cosmology
Zdroj:	JHEP10(2016)043
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP10(2016)043
Popis:	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. Comment: 29 pages, v3: references and a concluding speculative comment added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1609.04719 Zobrazit plný text záznamu View this record from Arxiv