Branching Equations of I and II Type and Their Connections with Finite Equations of Motion and the Callan-Symanzik Equation View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1974

AUTHORS

Eduardo R. Caianiello , Maria Marinaro

ABSTRACT

The aim of this paper is to recall, and present in the context of today’s quantum field theory, some results which we found in a sequel of past works. Most of them were obtained many years ago1); our main objective was at the time to discriminate, by using appropriate techniques, combinatoric from analytic problems. The first were brought into a naturally compact form by introducing some algorithms, which need not be mentioned here; the second were treated, at the beginning of our research, by defining “finite parts” of all quantities of interest, together with the formal properties which had to be satisfied by them in order that combinatorics could apply. Specific definitions were also given for the computation of finite part integrals, but no special emphasis was then placed on this aspect of the problem. More... »

PAGES

29-44

References to SciGraph publications

  • 1971-03. Small-distance-behaviour analysis and Wilson expansions in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Book

    TITLE

    Renormalization and Invariance in Quantum Field Theory

    ISBN

    978-1-4615-8911-2
    978-1-4615-8909-9

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-1-4615-8909-9_3

    DOI

    http://dx.doi.org/10.1007/978-1-4615-8909-9_3

    DIMENSIONS

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