HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 23 (1960) > Number 6
| Next Article >

Prog. Theor. Phys. Vol. 23 No. 6 (1960) pp. 1151-1156

[ Full Text PDF : FREE ACCESS (323K) ]

Integral Representations of Bethe-Salpeter Amplitudes

Masakuni Ida

Department of Physics, Kyoto University, Kyoto

(Received February 11, 1960)

Abstract:

An integral representation is shown for the matrix element between the vacuum state and a one-particle state of the T-product of two field operators (two-body Bethe-Salpeter amplitudes). It is a generalization of the representation introduced by Wick. The derivation makes use of the Lorentz invariance, microcausality, asymptotic conditions, spectral conditions plus the stability condition.


URL : http://ptp.ipap.jp/link?PTP/23/1151/
DOI : 10.1143/PTP.23.1151

[ Full Text PDF : FREE ACCESS (323K) ] Citation:

References:

  1. R. Jost and H. Lehmann, Nuovo Cim. 5 (1957), 1598.
  2. F. J. Dyson, Phys. Rev. 110 (1958), 1460[APS].
  3. G. C. Wick, Phys. Rev. 96 (1954), 1124[APS].
  4. R. E. Cutkosky, Phys. Rev. 96 (1954), 1135[APS].
  5. F. J. Dyson, Phys. Rev. 111 (1958), 1717[APS].
  6. H. Lehmann, K. Symanzik and W. Zimmermann, Nuovo Cim. 6 (1957), 319.
  7. K. Nishijima, Phys. Rev. 111 (1958), 995[APS].
  8. W. Zimmermann, Nuovo Cim. 10 (1958), 597.
  9. S. Deser, W. Gilbert and E. C. G. Sudarshan, Phys. Rev. 115 (1959), 731[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 24 No. 6 (1960) pp. 1275-1295 :
    On the Validity of Multiple Dispersion Representations
    Noboru Nakanishi
  2. Progress of Theoretical Physics Vol. 25 No. 2 (1961) pp. 211-214 :
    Note on the Integral Representation of Commutators
    Kunio Yamamoto
  3. Progress of Theoretical Physics Vol. 25 No. 2 (1961) pp. 296-297 :
    Validity of the Integral Representations for the Vertex Part in Perturbation Theory
    Noboru Nakanishi
  4. Progress of Theoretical Physics Vol. 26 No. 4 (1961) pp. 470-482 :
    On Vertical Representation of Bethe-Salpeter Amplitudes
    Masakuni Ida and Kazumi Maki
  5. Progress of Theoretical Physics Vol. 28 No. 6 (1962) pp. 1080-1099 :
    Baryon Number Conservation and the Jost-Lehmann-Dyson Representatin
    Gaku Konisi and Kunio Yamamoto
  6. Progress of Theoretical Physics Vol. 40 No. 2 (1968) pp. 412-419 :
    Spectra of Massless and Zero Energy-Momentum Solutions of the Bethe-Salpeter Equation
    Seiichi Naitô
  7. Progress of Theoretical Physics Vol. 40 No. 3 (1968) pp. 620-627 :
    Normalization of the Degenerate B-S Amplitudes
    Jiro Arafune
  8. Progress of Theoretical Physics Vol. 40 No. 3 (1968) pp. 628-639 :
    S-Matrix and Abnormal Solutions of the Bethe-Salpeter Equation
    Seiichi Naitô
  9. Progress of Theoretical Physics Vol. 42 No. 3 (1969) pp. 692-697 :
    The HNZ Construction for Composite Particles
    Kazuhiko Nishijima and Hikaru Sato
  10. Progress of Theoretical Physics Vol. 46 No. 3 (1971) pp. 897-908 :
    Solutions of the Bethe-Salpeter Equation
    Tsuyoshi Aotsuka and Yasuo Munakata
  11. Progress of Theoretical Physics Vol. 47 No. 2 (1972) pp. 626-647 :
    Dual Realistic Quark Model
    Masako Bando, Shigeru Machida, Hisao Nakkagawa and Koichi Yamawaki
  12. Progress of Theoretical Physics Vol. 55 No. 5 (1976) pp. 1514-1525 :
    Threshold Behavior of the Structure Functions in a Composite Model Field Theory
    Masao Ninomiya and Keiji Watanabe
  13. Progress of Theoretical Physics Vol. 58 No. 6 (1977) pp. 1935-1946 :
    Wave Function and Wave Equation on a Null-Plane
    Haruichi Yabuki
  14. Progress of Theoretical Physics Vol. 72 No. 4 (1984) pp. 821-833 :
    New Sum Rules from the Current Anticommutator on the Null-Plane
    Susumu Koretune

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.