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Zeta Function Methods and Quantum Fluctuations

arXiv:0712.1346 · doi:10.1088/1751-8113/41/30/304040

Abstract

A review of some recent advances in zeta function techniques is given, in problems of pure mathematical nature but also as applied to the computation of quantum vacuum fluctuations in different field theories, and specially with a view to cosmological applications.

17 pages, Talk given at the Conference ``Quantum Theory and Symmetries - 5'', Valladolid (Spain), July 22 - 28, 2007