Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-06-30
Nucl.Phys.Proc.Suppl. 104 (2002) 228-231
Physics
High Energy Physics
High Energy Physics - Theory
LaTEX, 4 pages, Contribution to the Proceedings of the International Meeting "Quantum Gravity and Spectral Geometry" (Naples,
Scientific paper
10.1016/S0920-5632(01)01621-8
The high temperature asymptotics of the Helmholtz free energy of electromagnetic field subjected to boundary conditions with spherical and cylindrical symmetries are constructed by making use of a general expansion in terms of heat kernel coefficients and the related determinant. For this, some new heat kernel coefficients and determinants had to be calculated for the boundary conditions under consideration. The obtained results reproduce all the asymptotics derived by other methods in the problems at hand and involve a few new terms in the high temperature expansions. An obvious merit of this approach is its universality and applicability to any boundary value problem correctly formulated.
Bordag Michael
Nesterenko V. V.
Pirozhenko Irina G.
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