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Quantization of nonlinear scalar fields of the born-infeld or membrane type

  • Physics Of Elementary Particles And Field Theory
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Abstract

The equivalence of Born-Infeld and membrane scalar fields is demonstrated. The Chernikov-Barbashov method for quantization of infinite strings is generalized to construct a quantum algebra for infinite membranes. which is called a Chernikov-Barbashov algebra. The n-dimensional case is discussed. A general Chernikov-Barbashov algebra is constructed for n-dimensional membranes.

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References

  1. M. Born, Proc. Roy. Soc. A.,143, No. A 849, 410 (1934).

    Google Scholar 

  2. M. Born and L. Infeld, Proc. Roy. Soc. A.,144, No. A 852, 425 (1934).

    Google Scholar 

  3. B. M. Barbashov and N. A. Chernikov, [sic],50, No. 5, 1296 (1966). JINR (Joint Institutes of Nuclear Research) Preprint No. R-2311, Dubna (1965).

  4. B. M. Barbashov and N. A. Chernikov, Sov. Phys. — JETP,23, No. 5, 861 (1966).

    Google Scholar 

  5. L. P. Éizenkhart, Riemannian Geometry [in Russian], Gostekhizdat, Moscow (1948).

    Google Scholar 

  6. A. I. Akhiezer and V. B. Berestetskii, Quantum Electrodynamics [in Russian], Nauka, Moscow (1969).

    Google Scholar 

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika. No. 1, pp. 53–60. January, 1996.

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Alekseev, S.N., Shavokhina, N.S. Quantization of nonlinear scalar fields of the born-infeld or membrane type. Russ Phys J 39, 48–55 (1996). https://doi.org/10.1007/BF02069240

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  • DOI: https://doi.org/10.1007/BF02069240

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