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Prog. Theor. Phys. Vol. 57 No. 6 (1977) pp. 2101-2115

Non-Linear Strings

Keiji Kikkawa, Masaaki Sato and Kunihiko Uehara^*

College of General Education, Osaka University, Toyonaka 560
^*Department of Physics, Osaka University, Toyonaka 560

(Received October 30, 1976)

Abstract:

Quantum mechanics of a relativistic non-linear string, a massive string, is studied by the use of the W. K. B. method. The excitation spectra are shown to be given with good accuracy in our approximation. A prescription for constructing S-matrix elements of interacting strings is given within a non-relativistic framework.

URL : http://ptp.ipap.jp/link?PTP/57/2101/
DOI : 10.1143/PTP.57.2101

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See Also:

• Progress of Theoretical Physics Vol. 59 No. 1 (1978) pp. 327-327 :

  Erratum : Non-Linear Strings

  Keiji Kikkawa, Masaaki Sato and Kunihiko Uehara

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References:

1. See, for example, Dual Theory edited by M. Jacob, (North-Holland Pub. Co., 1974).
2. A. Chodos and C. B. Thorn, Nucl. Phys. B 72 (1974), 509[CrossRef].
   G. Konishi, Kawanseigakuin Univ. (Osaka) 1976, solved this problem independently.
   The massive model was originally discussed in T. Takabayasi, Proceedings of International Symposium on High Energy Physics, Prog. Theor. Phys. 49 (1973), 1724[PTP]; ibid. 51 (1974), 262[PTP]; ibid. 51 (1974), 571[PTP].
   See also, P. H. Frampton, Phys. Rev. D 12 (1975), 538[APS].
3. X. Artru, Nucl. Phys. B 85 (1975), 442[CrossRef].
4. J. J. Aubert et al., Phys. Rev. Lett. 33 (1974), 1404[APS].
   G. S. Abrams et al., Phys. Rev. Lett. 33 (1974), 1406[APS].
   C. Bacci et al., Phys. Rev. Lett. 33 (1974), 1408[APS].
   G. S. Abrams et al., Phys. Rev. Lett. 33 (1974), 1453[APS].
5. R. F. Dashen, B. Hasslacher and A. Neveu, Phys. Rev. D 11 (1975), 3424[APS].
6. Our method is a modification of the method given in R. F. Dashen, B. Hasslacher and A. Neveu, Phys. Rev. D 10 (1974), 4114[APS].
7. M. Kaku and K. Kikkawa, Phys. Rev. D 10 (1974), 1110[APS]; ibid. 10 (1974), 1823[APS].
   E. Cremmer asnd J.-L. Gervais, Nucl. Phys. B 76 (1974), 209[CrossRef].
8. P. A. M. Dirac, Can. J. Math. 2 (1950), 129.
   P. A. M. Dirac, Proc. R. Soc. A 246 (1958), 326.

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 62 No. 2 (1979) pp. 508-521 :

   Massive String Model of Mesons and Baryons

   Kiyoshi Kamimura

2. Progress of Theoretical Physics Supplement No.86 (1986) pp. 81-92 :

   Theory of Relativistic String and Multilocal Model

   Takehiko Takabayasi

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