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  • Abstract. In this chapter the following applications of the method of zeta-function regularization are described. Firstly, some aspects of the comparison that was established by Fujikawa between the generalized Pauli–Villars regularization method and of the covariant regularization of composite current operators are investigated.
  • 2020-12-13 · (en) Stephen Hawking, Zeta function regularization of path integrals in curved spacetime, Communications in Mathematical Physics 55 (2) (1977), 133-148. Euclide Project. (en) André Voros, Spectral functions, special functions and the Selberg zeta function, Communications in Mathematical Physics 110 (3) (1987), 439–465. Euclide Project.
  • 2007-6-30 · ?DOs, Zeta Functions, Determinants, and Traces Wodzicki Residue, Multiplicative (or Noncommutative) Anomaly, or Defect Singularities of ?A(s) The Chowla-Selberg Expansion Formula (CS) & Extended Expressions (ECS) Quantum vacuum ?uctuations and zeta regularization The Casimir effect and the cosmological constant Other applications in Physics:

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Ten Physical Applications of Spectral Zeta Functions

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eBook: Zeta Regularization Techniques With …

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  • Воеводин В.В.: Вычислительная математика и структура алгоритмов Год: 2006 Волков В.Т
  • 2015-12-29 · Among the different methods, zeta-function regularization — which is obtained by analytic continuation in the complex plane of the zeta-function of the relevant physical operator in each case — might well be the most beautiful of all. Use of this method yields, for instance, the vacuum energy corresponding to a quantum physical system (with
  • Georgia Institute of Technology

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What is the idea behind zeta function regularization?

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  • Capability Statements - The University of Nottingham
  • The Application of Zeta Regularization Method to the Calculation of Certain Divergent Series and Integrals. Prespacetime Journal, 2013. J. Garcia Moreta. PDF. Download Free PDF. Free PDF. Download PDF. PDF. PDF. Download PDF Package. PDF. Premium PDF Package. Download Full PDF Package. This paper.

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Lectures on zeta functions, L-functions and modular …

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  • 1995-1-12 · The aim of this note is to show how deeply the zeta function regularization method pervades all the different, alternative regularization procedures that are being used in gauge theory. We see this in the example provided by the very interesting scheme recently proposed by Frolov and Slavnov of a generalized Pauli-Villars (P-V) regularization
  • Zeta function regularization is a technique that can be used to derive Casimir energies associated with vacuum energies present between atoms. The Casimir effect is the attraction of two neutral metallic plates and was initially predicted theoretically in 1948.

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