Functional equation underlying the quantum theory of fields View Full Text


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Article Info

DATE

1990-12

AUTHORS

J. -P. M. Lebrun

ABSTRACT

In the case of equality of vector and axial-vector couplings, useful to investigate the problem of mass generation for spinor fields by spontaneous symmetry breaking, all one-loop two-point Green's functions appear finite. The Mellin-transformed Schwinger-Dyson integral equations reduce to a finite-difference equation solved by a confluent hypergeometric function of the reduced kinematic variable. In this paper, the limiting process from the massive spinor to the massless case is treated in detail, all subsidiary terms being bounded and expressible in terms of Appell series and generalized confluent hypergeometric series. More... »

PAGES

1735-1742

References to SciGraph publications

  • 1976-03. Relativistic gap equation with dimensional regularization in LETTERE AL NUOVO CIMENTO (1971-1985)
  • 1986-02. On the solution of the Schwinger-Dyson equation in IL NUOVO CIMENTO A (1965-1970)
  • 1989-03. Lowering of proton mass with respect to neutron state ing′-quark electromagnetic soliton theory—II in IL NUOVO CIMENTO A (1965-1970)
  • Journal

    TITLE

    Il Nuovo Cimento A (1971-1996)

    ISSUE

    12

    VOLUME

    103

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02887298

    DOI

    http://dx.doi.org/10.1007/bf02887298

    DIMENSIONS

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