A class of finite-part integration rules for quantum field theory defined by a method of analytic continuation View Full Text


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Article Info

DATE

1969-04

AUTHORS

F. Guerra, M. Marinaro

ABSTRACT

A method is presented which permits the regularization of a field theory by means of a procedure of analytic continuation performed on auxiliary parameters. This method differs from those proposed by other authors essentially because the regularization here is performed only on pairs of vertices and not on individual lines of graphs. It is shown furthermore that this regularization is in fact a realization of the finite-part integral, whose introduction was shown in preceding works to be sufficient for obtaining a complete renormalization of field theory. More... »

PAGES

756-771

References to SciGraph publications

  • 1959-08. Regularization and renormalization in IL NUOVO CIMENTO (1955-1965)
  • 1966-12. Proof of the Bogoliubov-Parasiuk theorem on renormalization in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1949-12. L'intégrale de Riemann-Liouville et le problème de Cauchy in ACTA MATHEMATICA
  • 1965-06. Divergence of perturbation theory for bosons in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02757302

    DOI

    http://dx.doi.org/10.1007/bf02757302

    DIMENSIONS

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