Zeta-Function Regularization is Uniquely Defined and Well

Abstract

Hawking's zeta function regularization procedure is shown to be rigorously and uniquely defined, thus putting and end to the spreading lore about different difficulties associated with it. Basic misconceptions, misunderstandings and errors which keep appearing in important scientific journals when dealing with this beautiful regularization method ---and other analytical procedures--- are clarified and corrected.

7 pages, LaTeX file

References in corpus (3)

• Zeta Functions and the Casimir Energy
• Quantum Field Theories on Manifolds with Curved Boundaries: Scalar Fields
• Mellin Transform Techniques for Zeta-Function Resummations

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• Quantum mass correction for the twisted kink
• Some Developments of the Casimir Effect in $p$-Cavity of $(D+1)$-Dimensional Spacetime
• On topology changes in quantum field theory and quantum gravity
• Aspects of Quantum Energy and Stress in Inhomogeneous Unbounded Dielectric Continua
• Mathematical Singularities in the Farthest Confines of the Universe -- And a Brief Report on Its Evolutionary History
• Equivalence of zeta function technique and Abel-Plana formula in regularizing the Casimir energy of hyper-rectangular cavities