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Prog. Theor. Phys. Vol. 25 No. 3 (1961) pp. 369-380

[ Full Text PDF : FREE ACCESS (535K) ]

Soluble Examples in Field Theory with Fermi Interactions

Yasusi Ataka

Department of Physics, Kinki University, Osaka

(Received November 5, 1960)

Abstract:

A soluble example in field theory with Fermi interaction is proposed. The two fermion fields N and N are interacting as N + N \rightleftarrowsN + N. It is shown that the limit of Machida's soluble model in which the probability amplitude for a bare meson identically vanishes coincides with our model with the separable form factors.
This model with general form factors and another model are discussed.


URL : http://ptp.ipap.jp/link?PTP/25/369/
DOI : 10.1143/PTP.25.369

[ Full Text PDF : FREE ACCESS (535K) ] Citation:

References:

  1. S. Machida, Prog. Theor. Phys. 14 (1955), 407[PTP].
  2. T. D. Lee, Phys. Rev. 95 (1954), 1329[APS].
  3. J. S. Goldstein, Nuovo Cim. 9 (1958), 504.
  4. H. Lehmann, K. Symanzik and W. Zimmermann, Nuovo Cim. 2 (1955), 425.
  5. G. Källén, Helv. Phys. Acta 25 (1952), 417.
  6. H. Lehmann, Nuovo Cim. 11 (1954), 342.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 25 No. 6 (1961) pp. 895-900 :
    The Composite Model of Mesons as a Limit of Meson Theory
    Yasusi Ataka
  2. Progress of Theoretical Physics Vol. 41 No. 4 (1969) pp. 1064-1080 :
    A Diagonalization Method of a Hamiltonian in Second-Quantization. I
    Raoelina Andriambololona
  3. Progress of Theoretical Physics Vol. 41 No. 5 (1969) pp. 1289-1308 :
    A Diagonalization Method of a Hamiltonian in Second-Quantization. II
    Raoelina Andriambololona

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