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Prog. Theor. Phys. Vol. 10 No. 5 (1953) pp. 533-548

[ Full Text PDF : FREE ACCESS (1191K) ]

Hamiltonian Formalism in Non-local Field Theories

Chushiro Hayashi

Department of Physics, Naniwa University, Osaka Prefecture

(Received September 30, 1953)

Abstract:

The Yang-Feldman's method is generalized in order to obtain a covariant Hamiltonian formulation of quantized fields with non-local interactions. The interaction Hamiltonian is constructed according to the perturbation theory in such a way that the equation of motion in the interaction representation is integrable. The calculations are carried out actually up to the fourth order approximation.


URL : http://ptp.ipap.jp/link?PTP/10/533/
DOI : 10.1143/PTP.10.533

[ Full Text PDF : FREE ACCESS (1191K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 11 No. 2 (1954) pp. 226-227 :
    On Field Equations with Non-local Interaction
    Chushiro Hayashi
  2. Progress of Theoretical Physics Vol. 15 No. 1 (1956) pp. 19-36 :
    On the Theories of Higher Derivative and Non-Local Couplings, II
    Tosiya Taniuti
  3. Progress of Theoretical Physics Vol. 21 No. 4 (1959) pp. 562-568 :
    Nonlocal Interactions and Dispersion Relations
    Yoshio Miyatake
  4. Progress of Theoretical Physics Vol. 23 No. 2 (1960) pp. 328-352 :
    On the Electromagnetic Structure of Nucleons and Their Mass Difference
    Yasuhisa Katayama, Mituo Taketani, Silvestre Ragusa and Diogenes Rodrigues de Oliveira
  5. Progress of Theoretical Physics Vol. 23 No. 5 (1960) pp. 846-852 :
    K+-K0 Mass Difference
    Kazuaki Daiyasu and Reiji Sugano
  6. Progress of Theoretical Physics Vol. 35 No. 5 (1966) pp. 934-959 :
    A Non-Trivial Example of a Relativistic Quantum Theory of Particles without Divergence Difficulties
    Hideji Kita
  7. Progress of Theoretical Physics Vol. 38 No. 3 (1967) pp. 715-732 :
    The Regge Pole Hypothesis and an Extended Particle Model
    Masako Bando, Takeshi Inoue, Yoshio Takada and Sho Tanaka
  8. Progress of Theoretical Physics Vol. 47 No. 1 (1972) pp. 293-303 :
    A Note on the Interaction Representation for the Non-Linear Field of the Chiral Dynamics Type
    Takao Okabayashi, Takashi Sasaki and Koji Yoshikawa
  9. Progress of Theoretical Physics Vol. 50 No. 5 (1973) pp. 1729-1747 :
    Reconstruction of Non-Local Field Theory. I
    Ikuo Sogami
  10. Progress of Theoretical Physics Vol. 59 No. 4 (1978) pp. 1376-1390 :
    S-Matrix for Interacting Extended Boson Fields. II
    A. Z. Capri and C. C. Chiang
  11. Progress of Theoretical Physics Vol. 80 No. 3 (1988) pp. 566-581 :
    Unitarity Problem in Nonlocal Field Theories
    Sho Tanaka
  12. Progress of Theoretical Physics Supplement No.51 (1972) pp. 1-95 :
    Indefinite-Metric Quantum Field Theory
    Noboru Nakanishi

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