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physics.gen-phJul 21, 2012
3
citations (OpenAlex)
authors
  • A. V. Stoyanovsky
institutions
  • Russian State University for the Humanities
  • State Academic University of Humanities
arXiv abstractPDF
paper

A new mathematical problem related to quantization of fields

arXiv:1207.5144 · doi:10.1134/S1061920812040103

Abstract

This paper is a survey of author's mathematical and logical study of the problem of quantization of fields.

11 pages, to appear in Russian Journal of Math. Phys. arXiv admin note: text overlap with arXiv:hep-th/0601080, arXiv:1110.0002

References in corpus (10)

  • Maslov's complex germ and the Weyl--Moyal algebra in quantum mechanics and in quantum field theory
  • The Poisson algebra of classical Hamiltonians in field theory and the problem of its quantization
  • Quantization on space-like surfaces
  • A necessary condition for existence of S-matrix outside perturbation theory
  • No-Counterterm approach to quantum field theory
  • A mathematical interpretation of the Feynman path integral equivalent to the formalism of Green functions
  • Is quantum field theory a generalization of quantum mechanics?
  • Pseudodynamical evolution and path integral in quantum field theory
  • Differential operators on infinite dimensional space and quantum field theory
  • An attempt to construct dynamical evolution in quantum field theory

Cited by in corpus (1)

  • Mathematical renormalization of Hamiltonian field theories
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