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Prog. Theor. Phys. Vol. 52 No. 6 (1974) pp. 1929-1945

[ Full Text PDF : FREE ACCESS (1088K) ]

The Lehmann-Symanzik-Zimmermann Formalism for Manifestly Covariant Quantum Electrodynamics

Noboru Nakanishi

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606

(Received May 29, 1974)

Abstract:

The Lehmann-Symanzik-Zimmermann formalism is presented for manifestly covariant quantum electrodynamics involving a gauge parameter α. Contrary to Källén's assertion, it is shown that one can consistently formulate the asymptotic condition for the electromagnetic field and construct the Fock space of asymptotic states. Except for the case of Feynman gauge (α= 1), the formalism is somewhat complicated because of the presence of dipole ghosts, but emphasis is laid on the very existence of a consistent formalism. The completeness relation for the asymptotic states is presented so that the generalized unitarity relation can be written down.
Indefinite-metric theory of a massive vector field is briefly discussed.


URL : http://ptp.ipap.jp/link?PTP/52/1929/
DOI : 10.1143/PTP.52.1929

[ Full Text PDF : FREE ACCESS (1088K) ] Citation:

References:

  1. G. Källén, Helv. Phys. Acta 25 (1952), 417.
  2. S. N. Gupta, Proc. Phys. Soc. A 63 (1950), 681.
    M. Bleuler, Helv. Phys. Acta 23 (1950), 567.
  3. C. N. Yang and G. Feldman, Phys. Rev. 79 (1950), 972[APS].
  4. L. E. Evans and T. Fulton, Nucl. Phys. 21 (1960), 492[CrossRef].
  5. H. Lehmann, K. Symanzik and W. Zimmermann, Nuovo Cim. 1 (1955), 205.
  6. N. Nakanishi, Prog. Theor. Phys. 49 (1973), 640[PTP]; ibid. 50 (1973), 1388[PTP].
  7. N. Nakanishi, Prog. Theor. Phys. Suppl. No. 51 (1972), 1[PTP].
  8. N. Nakanishi, Prog. Theor. Phys. 35 (1966), 1111[PTP].
    B. Lautrup, Kgl. Danske Videnskab. Selskab, Mat.-fys. Medd. 35 (1967), No. 11.
    See also K. Yokoyama, Prog. Theor. Phys. 51 (1974), 1956[PTP].
  9. N. Nakanishi, Prog. Theor. Phys. 51 (1974), 952[PTP].
  10. N. Nakanishi, Phys. Rev. D 5 (1972), 1324[APS].
  11. N. Nakanishi, Prog. Theor. Phys. 51 (1974), 1183[PTP].
  12. K. Yokoyama, Preprint RRK 74-6 (Hiroshima University).

Citing Article(s) :

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  4. Progress of Theoretical Physics Vol. 60 No. 6 (1978) pp. 1869-1889 :
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  5. Progress of Theoretical Physics Vol. 61 No. 2 (1979) pp. 644-655 :
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  6. Progress of Theoretical Physics Vol. 63 No. 1 (1980) pp. 275-286 :
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  7. Progress of Theoretical Physics Vol. 65 No. 3 (1981) pp. 1041-1051 :
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  9. Progress of Theoretical Physics Vol. 117 No. 4 (2007) pp. 745-763 :
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  10. Progress of Theoretical Physics Supplement No.66 (1979) pp. 1-130 :
    Local Covariant Operator Formalism of Non-Abelian Gauge Theories and Quark Confinement Problem
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