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Prog. Theor. Phys. Supplement No.43 (1969) pp. 1-81

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A General Survey of the Theory of the Bethe-Salpeter Equation

Noboru Nakanishi

Research Institute for Mathematical Sciences, Kyoto University, Kyoto

Abstract:

The theory of the Bethe-Salpeter equation is reviewed extensively. The main effort is devoted to describing systematically the theoretical results rather than numerical calculations and applications of the Bethe-Salpeter equation. An almost complete bibliography of the Bethe-Salpeter equation also is presented.


URL : http://ptp.ipap.jp/link?PTPS/43/1/
DOI : 10.1143/PTPS.43.1

[ Full Text PDF : FREE ACCESS (7273K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 42 No. 2 (1969) pp. 402-407 :
    Reality of the Eigenvalues of the Bethe-Salpeter Equation
    Seichi Naito and Noboru Nakanishi
  2. Progress of Theoretical Physics Vol. 43 No. 1 (1970) pp. 184-205 :
    An Attempt at a General Theory of the Bethe-Salpeter Equation
    Masakuni Ida
  3. Progress of Theoretical Physics Vol. 43 No. 4 (1970) pp. 1035-1049 :
    Zero-Energy Bound States of Two Dirac Particles
    Hitoshi Ito
  4. Progress of Theoretical Physics Vol. 46 No. 3 (1971) pp. 897-908 :
    Solutions of the Bethe-Salpeter Equation
    Tsuyoshi Aotsuka and Yasuo Munakata
  5. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 2148-2150 :
    Remarks on the Infinite-Component Solutions to the Bethe-Salpeter Equation
    Kenji Seto and Noboru Nakanishi
  6. Progress of Theoretical Physics Vol. 48 No. 6 (1972) pp. 2066-2076 :
    On the Bethe-Salpeter Amplitudes Obtained by Means of the Stereographic Projection in the Wick-Cutkosky Model
    Noboru Nakanishi
  7. Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 1014-1026 :
    An Integral Formula for the Unequal-Mass Wick-Cutkosky Model of the Bethe-Salpeter Equation
    Noriaki Setô
  8. Progress of Theoretical Physics Vol. 53 No. 3 (1975) pp. 797-802 :
    On the Eigenvalues of the Wick-Cutkosky Model
    Fujio Tanaka and Noboru Nakanishi
  9. Progress of Theoretical Physics Vol. 54 No. 4 (1975) pp. 1213-1217 :
    A Possible Field-Theoretical Model of Quark Confinement
    Noboru Nakanishi
  10. Progress of Theoretical Physics Vol. 55 No. 5 (1976) pp. 1591-1605 :
    Solutions of the Spinor-Spinor Bethe-Salpeter Equation in the Scalar-Vector Sector
    Kiyoshi Higashijima
  11. Progress of Theoretical Physics Vol. 56 No. 3 (1976) pp. 908-918 :
    Exact Solutions of the Spinor-Spinor Bethe-Salpeter Equation and Their Gauge Dependence
    Akitoshi Nishimura and Kiyoshi Higashijima
  12. Progress of Theoretical Physics Vol. 56 No. 3 (1976) pp. 919-925 :
    Asymptotic Behavior of the Eigenvalues in the Wick-Cutkosky Model for Large Principal Quantum Number
    Noriaki Setô
  13. Progress of Theoretical Physics Vol. 57 No. 1 (1977) pp. 343-345 :
    On Approximate Solution of Bethe-Salpeter Equation in the Quark-Gluon Model
    Ryosei Hayashi
  14. Progress of Theoretical Physics Vol. 57 No. 2 (1977) pp. 556-569 :
    A Dynamical Approach to the Scaling Violations
    Ryosei Hayashi and Masaki Yasuè
  15. Progress of Theoretical Physics Vol. 57 No. 4 (1977) pp. 1387-1402 :
    A Naive Relativistic Quark Model of Mesons with an Instantaneous Interaction
    Iwao Sato
  16. Progress of Theoretical Physics Vol. 57 No. 4 (1977) pp. 1403-1408 :
    Reflection Symmetry of the Eigenvalues in the Wick-Cutkosky Model
    Noriaki Setô
  17. Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 515-520 :
    Decay of Kl4 in a Relativistic Quark Model
    Kazuhiko Ozaki
  18. Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 607-618 :
    Asymptotic Completeness and Confinement in the Massive Schwinger Model
    Noboru Nakanishi
  19. Progress of Theoretical Physics Vol. 59 No. 3 (1978) pp. 972-985 :
    Indefinite-Metric Quantum Field Theory of General Relativity
    Noboru Nakanishi
  20. Progress of Theoretical Physics Vol. 60 No. 2 (1978) pp. 536-547 :
    Eigenvalues of the Bethe-Salpeter Equation
    Yasuo Munakata
  21. Progress of Theoretical Physics Vol. 63 No. 3 (1980) pp. 999-1015 :
    Anomalous Dimensions of Composite Particles
    Kazuhiko Nishijima, Masanori Okawa and Kiusau Tesima
  22. Progress of Theoretical Physics Vol. 64 No. 1 (1980) pp. 300-309 :
    Spectral Properties of the Spinor-Spinor Bethe-Salpeter Equation
    Noriaki Setô
  23. Progress of Theoretical Physics Vol. 64 No. 3 (1980) pp. 1026-1037 :
    Suppression of Abnormal Solutions below a Critical Coupling Strength in a Spinor-Type Bethe-Salpeter Equation
    Noriaki Setô
  24. Progress of Theoretical Physics Vol. 65 No. 3 (1981) pp. 1026-1040 :
    On the Structure of the Continuous Spectra in the Spinor-Spinor Bethe-Salpeter Equation
    Ichio Fukui and Noriaki Setô
  25. Progress of Theoretical Physics Vol. 89 No. 1 (1993) pp. 205-214 :
    Scalar-Scalar Ladder Model in the Unequal-Mass Case. I
    Noriaki Setô and Ichio Fukui
  26. Progress of Theoretical Physics Vol. 91 No. 3 (1994) pp. 521-540 :
    Isgur-Wise Function from Bethe-Salpeter Amplitude
    Taichiro Kugo, Mark G. Mitchard and Yuhsuke Yoshida
  27. Progress of Theoretical Physics Vol. 94 No. 5 (1995) pp. 823-836 :
    The Mean Square Radius of Deuteron in the Bethe-Salpeter Formalism
    Naofusa Honzawa
  28. Progress of Theoretical Physics Vol. 95 No. 2 (1996) pp. 433-439 :
    Scalar-Scalar Ladder Model in the Unequal-Mass Case. II
    Ichio Fukui and Noriaki Setô
  29. Progress of Theoretical Physics Vol. 101 No. 6 (1999) pp. 1335-1341 :
    Scalar-Scalar Ladder Model in the Unequal-Mass Case. III
    Ichio Fukui and Noriaki Setô
  30. Progress of Theoretical Physics Vol. 119 No. 2 (2008) pp. 263-284 :
    Zero-Energy Solutions of the Bethe-Salpeter Equation for a Spinor-Scalar System Exchanging Photons
    G. B. Mainland
  31. Progress of Theoretical Physics Supplement No.51 (1972) pp. 1-95 :
    Indefinite-Metric Quantum Field Theory
    Noboru Nakanishi
  32. Progress of Theoretical Physics Supplement No.95 (1988) pp. 1-24 :
    Review of the Wick-Cutkosky Model
    Noboru Nakanishi
  33. Progress of Theoretical Physics Supplement No.95 (1988) pp. 25-45 :
    Review of the Spinor-Spinor Bethe-Salpeter Equation
    Noriaki Setô
  34. Progress of Theoretical Physics Supplement No.121 (1995) pp. 1-428 :
    Novel Use of Legendre Transformation in Field Theory and Many Particle Systems
    Reijiro Fukuda, Masahiro Komachiya, Satoshi Yokojima, Yoko Suzuki, Ko Okumura and Takeshi Inagaki