Evaluation of Casimir Energies Through Spectral Functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 1, pp. 98-117
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We consider applications of elliptic differential operators and their associated spectral functions in quantum field theory problems. The role of zeta functions and traces of heat kernels in the regularization of Casimir energies is emphasized, and the renormalization procedure is discussed with simple examples.
@article{TMF_2002_131_1_a8,
author = {E. M. Santangelo},
title = {Evaluation of {Casimir} {Energies} {Through} {Spectral} {Functions}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {98--117},
publisher = {mathdoc},
volume = {131},
number = {1},
year = {2002},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2002_131_1_a8/}
}
E. M. Santangelo. Evaluation of Casimir Energies Through Spectral Functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 1, pp. 98-117. http://geodesic.mathdoc.fr/item/TMF_2002_131_1_a8/