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Prog. Theor. Phys. Vol. 103 No. 1 (2000) pp. 161-181

[ Full Text PDF : FREE ACCESS (194K) ]

Light-Cone Quantization of the Schwinger Model

Yuji Nakawaki and Gary McCartor*

Division of Physics and Mathematics, Setsunan University, Osaka 572-8508, Japan
*Department of Physics, Southern Methodist University, Dallas TX 75275, USA

(Received March 2, 1999)

Abstract:

We consider constructing a canonical quantum theory of the light-cone gauge (A- = 0) Schwinger model in the light-cone representation. Quantization conditions are obtained by requiring that the translational generators P+ and P- give rise to Heisenberg equations which, in a physical subspace, are consistent with the field equations. A consistent operator solution with residual gauge degrees of freedom is obtained by solving initial value problems on the light cones. The construction allows a parton picture, although we have θ-vacua in the theory.


URL : http://ptp.ipap.jp/link?PTP/103/161/
DOI : 10.1143/PTP.103.161

[ Full Text PDF : FREE ACCESS (194K) ] Citation:

References:

  1. L. Susskind, Phys. Rev. 165 (1968), 1535[APS].
    K. Bardakci and M. B. Halpern, Phys. Rev. 176 (1968), 1686[APS].
  2. Theory of Hadrons and Light-Front QCD, ed. S. D. Glazek (World Scientific, Singapore, 1995).
    S. J. Brodsky, H. C. Pauli and S. S. Pinsky, Phys. Rep. 301 (1998), 299.
  3. J. B. Kogut and D. E. Soper, Phys. Rev. D1 (1970), 2901[APS].
    R. A. Neville and F. Rohrlich, Phys. Rev. D3 (1971), 1692[APS].
  4. N. Nakanishi, Phys. Lett. 131B (1983), 381; Quantum Electrodynamics, ed. T. Kinoshita (World Scientific, Singapore, 1990), p. 36.
  5. S. Mandelstam, Nucl. Phys. B213 (1983), 149.
    G. Leibbrandt, Phys. Rev. D29 (1984), 1699[APS].
  6. A. Bassetto, M. Dalbosco, I. Lazziera and R. Soldati, Phys. Rev. D31 (1985), 2012[APS].
    A. Bassetto, G. Nardelli and R. Soldati, Yang-Mills Theories in Algebraic Non-Covariant Gauges (World Scientific, Singapore, 1991).
  7. M. Morara and R. Soldati, Phys. Rev. D58 (1998), 105011[APS]. This gauge was discussed in an unpublished talk by K. Hornbostel, 1992, Dallas, Texas.
  8. G. McCartor and D. G. Robertson, Z. Phys. C62 (1994), 349; C68 (1995), 345.
  9. A. Bassetto, G. Nardelli and E. Vianello, Phys. Rev. D56 (1997), 3631[APS].
  10. G. McCartor, Z. Phys. C52 (1991), 611; C64 (1994), 349.
  11. F. Lenz, M. Thies, S. Levit and K. Yazaki, Ann. of Phys. 208 (1991), 1[CrossRef].
  12. T. Heinzl, S. Krusche and E. Werner, Phys. Lett. B275 (1992), 410[Elsevier].
  13. G. McCartor, Int. J. Mod. Phys. A12 (1997), 1091.
  14. Y. Nakawaki, Prog. Theor. Phys. 72 (1984), 134[PTP].
  15. G. Morchio, D. Pierotti and F. Strocchi, J. Math. Phys. 33 (1992), 777.
  16. B. Klaiber, Boulder Lectures in Theoretical Physics (Gordon and Breach, 1967), vol. XA, p. 141.
  17. G. McCartor, Z. Phys. C41 (1988), 271.
  18. Y. Nakawaki and G. McCartor, Prog. Theor. Phys. 102 (1999), 149[PTP].
  19. S. Brodsky, J. Hiller and G. McCartor, Phys. Rev. D58 (1998), 25005[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 106 No. 1 (2001) pp. 167-186 :
    Extended Hamiltonian Formalism of the Pure Space-Like Axial Gauge Schwinger Model
    Yuji Nakawaki and Gary McCartor
  2. Progress of Theoretical Physics Vol. 111 No. 6 (2004) pp. 943-960 :
    Extended Hamiltonian Formalism of the Pure Space-Like Axial Gauge Schwinger Model. II
    Yuji Nakawaki and Gary McCartor

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