Finite temperature and boundary effects in static space-times

Details Finite temperature and boundary effects in static space-times Finite temperature and boundary effects in static space-times

May 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978jpha...11..895d&link_type=abstract

Journal of Physics A - Mathematical and General, vol. 11, May 1978, p. 895-920.

Physics

Condensed Matter

Statistical Mechanics

181

Boundary Value Problems, Cavities, Free Energy, High Temperature Gases, Surface Energy, Temperature Effects, Internal Energy, Low Temperature, Rectangular Waveguides, Statistical Mechanics

Scientific paper

Expressions are derived for the free energy of a massless scalar gas confined to a spatial cavity in a static space-time at a finite temperature. A high temperature expansion is presented in terms of the Minakshisundaram coefficients. This gives curvature and boundary corrections to the Planckian form. The regularisation used is the zeta function one, and yields a finite total internal energy. However, it is known that the local energy density diverges in a non-integrable way as the boundary is approached. A 'surface energy' is suggested to reconcile these two facts. Explicit expressions for the total energy inside two infinite rectangular waveguides are obtained.

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