Microcanonical quantum gravity

Details Microcanonical quantum gravity Microcanonical quantum gravity

May 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gregr..15..489s&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 15, May 1983, p. 489-493.

Physics

Condensed Matter

Statistical Mechanics

Field Theory (Physics), Gravitation Theory, Gravitational Waves, Quantum Theory, Relativity, Statistical Mechanics, Black Holes (Astronomy), Canonical Forms, Euclidean Geometry, Gravitational Fields, Self Consistent Fields

Scientific paper

A statistical mechanics approach to quantum gravity can be used to investigate the characteristics of the uncontrollable divergences in calculations of quantum gravity fields. The relation between quantum field theory and statistical mechanics is examined and it is found that the Euclidean functional integral describes the statistical mechanics of classical fields in 4 + 1 dimensions. The Hawking equation (1979) can therefore be used to calculate correlation functions on a four-dimensional Euclidean manifold. The infinite energy density UV catastrophe, i.e., the action density, is shown not to be renormalizable in a quantum gravity field. Several examples of the divergence are discussed, including ensemble averaging of black hole energies, and the quantum corrections to gravitational processes at nonrelativistic energies, wherein divergence occurs when the Planck energy is reached. Microcanonical quantum field theory, however, generates microcanonical correlation functions that are finite and well-behaved, and describe a wider class of self-consistent systems through a fixed action formalism.

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