Abstract
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.
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Santangelo, E.M. Evaluation of Casimir Energies Through Spectral Functions. Theoretical and Mathematical Physics 131, 527–542 (2002). https://doi.org/10.1023/A:1015157820346
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DOI: https://doi.org/10.1023/A:1015157820346