Scientific Publishing Local Zeta Regularization and Scalar Casimir Effect Book

Explore the complexities of mathematical physics with this comprehensive text on zeta regularization. This book addresses the method used to treat divergent quantities in quantum field theory by using analytic continuation with a complex regulating parameter. By ascribing finite values to formally divergent expressions, this work provides a deep look into the mathematical foundations required for advanced physics research. The text offers a thorough overview of zeta regularization specifically applied to the vacuum expectation values of relevant observables. It focuses on a quantized, neutral scalar field within Minkowski spacetime. Readers can examine how these fields behave when confined to a spatial domain with specific boundary conditions. This resource is designed for those studying mathematical analysis and quantum field theory who require a clear, general approach based on integral kernels.