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Prog. Theor. Phys. Vol. 7 No. 2 (1952) pp. 255-262

[ Full Text PDF : FREE ACCESS (579K) ]

On Yukawa's Theory of Non-local Field, I

— The Case of Free Field —

Osamu Hara and Haruo Shimazu

Institute of Theoretical Physics, Nagoya University

(Received September 20, 1951)

Abstract:

The relation of Yukawa's non-local field theory to the ordinary local field theory is investigated. In §3, it is shown that the equations of motion and the commutation relations of the non-local field are derived from those of the local field by a canonical transformation, which means that both fields are equivalent at least in the case of no interaction. §4 is devoted to some remarks on the feature of the non-local field as a mixed field composed of those with various spins. The considerations in this paper are all restricted to the free field.


URL : http://ptp.ipap.jp/link?PTP/7/255/
DOI : 10.1143/PTP.7.255

[ Full Text PDF : FREE ACCESS (579K) ] Citation:

References:

  1. H. Yukawa, Phys. Rev. 77 (1950), 219[APS].
    H. Yukawa, Phys. Rev. 80 (1950), 1047[APS].
  2. M. Fierz, Phys. Rev. 78 (1950), 184[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 8 No. 3 (1952) pp. 385-386 :
    On Yukawa's Theory of Non-local Field
    H. Shimazu and O. Hara
  2. Progress of Theoretical Physics Vol. 9 No. 2 (1953) pp. 137-146 :
    On Yukawa's Theory of Non-local Field, II
    Osamu Hara and Haruo Shimazu
  3. Progress of Theoretical Physics Vol. 9 No. 5 (1953) pp. 559-560 :
    The Theory of the Structure of Elementary Particles
    Osamu Hara and Toshio Marumori
  4. Progress of Theoretical Physics Vol. 47 No. 1 (1972) pp. 350-351 :
    Phenomenological Equations of Motion of Muscular Contraction
    Hiroshi Shimizu and Takenori Yamada
  5. Progress of Theoretical Physics Vol. 59 No. 3 (1978) pp. 996-1008 :
    S-Matrix for Interacting Extended Boson Field. I
    A. Z. Capri and C. C. Chiang
  6. Progress of Theoretical Physics Vol. 62 No. 6 (1979) pp. 1768-1778 :
    Elastic Scattering between Binary Quark-Antiquark System and Local Field
    Ikuo Sogami and Satoru Nishimoto
  7. Progress of Theoretical Physics Supplement No.67 (1979) pp. 1-68 :
    Relativistic Mechanics of Confined Particles as Extended Model of Hadrons
    Takehiko Takabayasi
  8. Progress of Theoretical Physics Supplement No.67 (1979) pp. 209-281 :
    Multi-Local Hadron Fields
    Shin Ishida and Masuho Oda

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