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Prog. Theor. Phys. Vol. 58 No. 3 (1977) pp. 1007-1013

[ Full Text PDF : FREE ACCESS (497K) ]

Lorentz Transformation Properties in the Thirring and Schwinger Models

Noboru Nakanishi

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606

(Received March 9, 1977)

Abstract:

The spinor fields of the Thirring and Schwinger models, which are expressed in terms of asymptotic fields, cannot be transformed in the standard way under Lorentz transformations because their single vacuum expectation values are non-vanishing. The correct transformation formulae for those massless spinor fields are found explicitly. It is pointed out that the Thirring and Schwinger models cannot be the massless limits of the corresponding massive theories as long as asymptotic completeness is valid.


URL : http://ptp.ipap.jp/link?PTP/58/1007/
DOI : 10.1143/PTP.58.1007

[ Full Text PDF : FREE ACCESS (497K) ] Citation:

See Also:

References:

  1. N. Nakanishi, Prog. Theor. Phys. 57 (1977), 269[PTP].
  2. N. Nakanishi, Prog. Theor. Phys. 57 (1977), 580[PTP].
  3. N. Nakanishi, Prog. Theor. Phys. 57 (1977), 1025[PTP].
  4. N. Nakanishi, Prog. Theor. Phys. 57 (1977), 1079[PTP].
  5. S. Coleman, R. Jackiw and L. Susskind, Ann. of Phys. 93 (1975), 267[CrossRef].
  6. T. Yoneya, unpublished (Hokkaido Univ. Report, 1975).
  7. N. Nakanishi, Prog. Theor. Phys. 50 (1973), 1388[PTP].
  8. N. Nakanishi, Phys. Rev. D 5 (1972), 1324[APS].
  9. K. Johnson, Nucl. Phys. 25 (1961), 435[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 58 No. 6 (1977) pp. 1927-1934 :
    Reconstruction of the Lowenstein-Swieca Solution from the Asymptotic-Field One in the Schwinger Model
    Noboru Nakanishi
  2. Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 607-618 :
    Asymptotic Completeness and Confinement in the Massive Schwinger Model
    Noboru Nakanishi
  3. Progress of Theoretical Physics Vol. 60 No. 3 (1978) pp. 892-907 :
    Boson-Representation of U(n)-Symmetric Thirring Model in Indefinite Metric Space
    P. Mitra
  4. Progress of Theoretical Physics Vol. 62 No. 6 (1979) pp. 1718-1741 :
    On the Lorentz Transformations of Operator Solutions of the Pre-Schwinger Model
    Yuji Nakawaki
  5. Progress of Theoretical Physics Vol. 68 No. 1 (1982) pp. 287-293 :
    Comments on the Bosonization in Massless Two-Dimensional Models
    Noboru Nakanishi
  6. Progress of Theoretical Physics Vol. 72 No. 1 (1984) pp. 152-166 :
    Non-Existence of the Nontrivial Vacuum Structure in the Schwinger Model. II
    Yuji Nakawaki
  7. Progress of Theoretical Physics Vol. 90 No. 2 (1993) pp. 435-446 :
    Exactly Conserved Lorentz Transformation Generators in Quantum Electrodynamics in the ∂0A0 = 0 and A0 = 0 Gauges
    Yuji Nakawaki

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