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Prog. Theor. Phys. Vol. 51 No. 3 (1974) pp. 893-911

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Supergauge Algebra and Electromagnetic Interaction of the Dual Pion Model. I

Gaku Konisi, Satoshi Matsuda,* Yuji Nakawaki** and Takesi Saito**

Department of Physics, Kwansei Gakuin University, Nishinomiya 662
*Department of Physics, Kyoto University, Sakyo-ku, Kyoto 606
**Department of Physics, Osaka University, Toyonaka, Osaka 560

(Received September 14, 1973)

Abstract:

We consider the electromagnetic problems of the dual pion model proposed by Neveu and Schwarz. The photon gauge substitution and the supergauge algebra appearing in this model are shown to determine the interaction uniquely. Consequently we find that (i) the electric charge has only two localization points which are at the ends of the string and that (ii) new gauge conditions hold, which are crucial for proving the no-ghost theorem in our theory. We also give a proof of the photon-gauge invariance of our system and find (iii) the conserved dual current. Unfortunately we are forced to stay in the on-shell world (i.e., massless photon).


URL : http://ptp.ipap.jp/link?PTP/51/893/
DOI : 10.1143/PTP.51.893

[ Full Text PDF : FREE ACCESS (1172K) ] Citation:

References:

  1. R. Brower, Phys. Rev. D 6 (1972), 1655[APS].
    R. Brower and K. A. Friedman, Phys. Rev. D 7 (1973), 535[APS].
    P. Goddard and C. B. Thorn. Phys. Lett. B 40 (1972), 235[CrossRef].
  2. M. A. Virasoro, Phys. Rev. D 1 (1970), 2933[APS]. See also Ref. 3).
  3. A. Neveu and J. H. Schwarz, Nucl. Phys. B 31 (1971), 86[CrossRef].
  4. S. Matsuda and T. Saito, Phys. Lett. B 43 (1973), 123[CrossRef].
  5. G. Konisi, S. Matsuda and T. Saito, Prog. Theor. Phys. 51 (1974), 1172[PTP].
  6. Y. Aharonov, A. Casher and L. Susskind, Phys. Rev. D 5 (1972), 988[APS].
  7. Y. Nambu, Symmetries and Quark Models, ed. by R. Chand (Gordon and Breach, New York, 1970), p. 269.
  8. J. T. Manassah and S. Matsuda, Phys. Rev. D 4 (1971), 882[APS].
    Y. Nambu, Phys. Rev. D 4 (1971), 1193[APS].
  9. As for the conformal invariance and the supergauge symmetry, see for example, J. -L. Gervais and B. Sakita, Nucl. Phys. B 34 (1971), 632[CrossRef].
  10. The algebra of this type is also valid in the N-S model and in the Ramond model. See Y. Nakawaki and T. Saito, Nucl. Phys. B 50 (1972), 253[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 51 No. 4 (1974) pp. 1131-1144 :
    Generalized Gauge Conditions in the Virasoro-Shapiro Model and Elimination of Ghosts
    Syôzi Kawati and Gaku Konisi
  2. Progress of Theoretical Physics Vol. 51 No. 4 (1974) pp. 1172-1182 :
    Supergauge Algebra and Electromagnetic Interaction of the Dual Pion Model. II
    Gaku Konisi, Satoshi Matsuda and Takesi Saito
  3. Progress of Theoretical Physics Vol. 52 No. 5 (1974) pp. 1652-1668 :
    Theory of the Dual-Fermion String
    Gaku Konisi and Takesi Saito
  4. Progress of Theoretical Physics Vol. 52 No. 6 (1974) pp. 1910-1928 :
    General-Covariant Approach to Relativistic String Theory
    Takehiko Takabayasi
  5. Progress of Theoretical Physics Vol. 53 No. 3 (1975) pp. 803-809 :
    Electromagnetic Property of the Double Dirac String
    Masasi Fujigaki
  6. Progress of Theoretical Physics Vol. 53 No. 5 (1975) pp. 1487-1498 :
    Generalized Gauge Conditions for Closed String Models with Intrinsic Spin
    Syôzi Kawati and Gaku Konisi
  7. Progress of Theoretical Physics Vol. 55 No. 1 (1976) pp. 280-286 :
    Supergauge Algebra and Interaction between Open and Closed Strings
    Gaku Konisi and Takesi Saito
  8. Progress of Theoretical Physics Vol. 72 No. 1 (1984) pp. 171-174 :
    Electromagnetic Properties of the Kaluza-Klein String
    Gaku Konisi and Takesi Saito
  9. Progress of Theoretical Physics Vol. 76 No. 3 (1986) pp. 680-692 :
    Covariant Formulation of Interacting Strings with Compactified Dimensions
    Gaku Konisi, Shijong Ryang, Takesi Saito, Kazuyasu Shigemoto, Makio Syûkawa and Wataru Takahasi
  10. Progress of Theoretical Physics Vol. 104 No. 6 (2000) pp. 1289-1308 :
    Constrained Quantization of Charged Strings in a Background B Field and g-Factors
    Akira Kokado, Gaku Konisi and Takesi Saito

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