Elsevier

Nuclear Physics B

Volume 52, Issue 1, 15 January 1973, Pages 280-291
Nuclear Physics B

Second-order effects in chiral-invariant pion Lagrangians and the use of superpropagators

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Abstract

We examine the second-order corrections to the scattering amplitude and to the vector currents for chiral-invariant Lagrangians of massless pions. Standard renormalization theory leads to three undetermined parameters. We discuss the possibility of choosing definite values for these parameters by applying the technique of superpropagators. In an appendix we investigate the restrictions which follow if localizability of the perturbation expansion in powers of the interaction Lagrangian is required. It is shown that this condition determines the pion-field coordinates uniquely.

References (16)

  • R. Nevanlinna

    Eindeutige analytische Funktionen

    (1953)
  • F. Gürsey

    Nuovo Cimento

    (1960)
    M. Gell-Mann et al.

    Nuovo Cimento

    (1960)
    S. Weinberg

    Phys. Rev.

    (1968)
  • A.P. Hunt et al.

    ICTP 69/19

    (1970)
  • B.W. Keck et al.

    Phys. Rev.

    (1971)
  • A. Jaffe

    Phys. Rev.

    (1967)
  • N.N. Bogoliubov et al.

    Introduction to the theory of quantized fields

    (1959)
    K. Hepp

    Comm. Math. Phys.

    (1966)
  • R. Dashen et al.

    Phys. Rev.

    (1969)
There are more references available in the full text version of this article.

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