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Prog. Theor. Phys. Vol. 50 No. 6 (1973) pp. 2040-2047

[ Full Text PDF : FREE ACCESS (675K) ]

A Self-Consistent Formulation of Local Field Theory. II

Akio Hosoya, Yukio Taguchi* and Kunio Yamamoto**

Department of Physics, Osaka University, Toyonaka, Osaka
*Department of Physics, University of Osaka Prefecture, Sakai, Osaka
**Institute of Physics, College of General Education, Osaka University, Toyonaka, Osaka

(Received July 28, 1973)

Abstract:

It is shown that, so far as the one-loop diagram is concerned, the physical amplitude obtained in a theory previously presented by us is equivalent to that of the dimensional regularization scheme of 't Hooft and Veltman. We utilize this equivalence for the proof of the Ward-Takahashi identity, unitarity and causality.


URL : http://ptp.ipap.jp/link?PTP/50/2040/
DOI : 10.1143/PTP.50.2040

[ Full Text PDF : FREE ACCESS (675K) ] Citation:


References:

  1. For the zero-point energy, Y. Taguchi and K. Yamamoto, Prog. Theor. Phys. 44 (1970), 1280[PTP]; ibid. 44 (1970), 1287[PTP].
    For the self-stress in φ3 interaction, Y. Taguchi and K. Yamamoto, Prog. Theor. Phys. 46 (1971), 1000[PTP].
    For the integrability condition, K. Yamamoto, Prog. Theor. Phys. 46 (1971), 1002[PTP].
    For the photon self-energy, Y. Taguchi and K. Yamamoto, Prog. Theor. Phys. 46 (1971), 1003[PTP].
    For the triangle anomaly, K. Kikuchi and K. Yamamoto, Prog. Theor. Phys. 47 (1972), 288[PTP].
    For the generators of the transformation groups, K. Kikuchi, Y. Taguchi and K. Yamamoto, Prog. Theor. Phys. 47 (1972), 1783[PTP].
  2. K. Kikuchi, Y. Taguchi and K. Yamamoto, Prog. Theor. Phys. 50 (1973), 1397[PTP].
  3. G. 't Hooft and M. Veltman, Nucl. Phys. B 44 (1972), 189[CrossRef].
  4. J. C. Ward, Phys. Rev. 78 (1950), 182[APS].
    R. Utiyama, S. Sunakawa and T. Imamura, Prog. Theor. Phys. 8 (1952), 77[PTP].
    Y. Takahashi, Nuovo Cim. 6 (1957), 370.
  5. J. D. Bjorken and T. T. Wu, Phys. Rev. 130 (1963), 2566[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 52 No. 1 (1974) pp. 304-312 :
    Integrability and Regularization in Local Field Theory
    Kunio Yamamoto