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The algebra formed by the invariant charges of the Nambu-Goto theory: Identification of a maximal Abelian subalgebra

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Abstract

Continuing the analysis of the algebraic structure of the invariant charges of the Nambu-Goto theory, we identify a complete set of commuting observables for the bosonic strings.

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References

  1. Pohlmeyer, K., Rehren, K.-H.: Algebraic properties of the invariant charges of the Nambu-Goto theory. Commun. Math. Phys.105, 593 (1986)

    Google Scholar 

  2. Pohlmeyer, K.: A group-theoretical approach to the quantization of the free relativistic closed string. Phys. Lett.119, 100 (1982)

    Google Scholar 

  3. Rehren, K.-H.: Freiburg university thesis, 1984, Physics Faculty, THEP 84/8 (in German)

  4. Lüscher, M., Symanzik, K., Weisz, P.: Anomalies of the free loop wave equation in the WKB approximation. Nucl. Phys. B173, 365 (1980)

    Google Scholar 

  5. Durhuus, B., Fröhlich, J., Jónsson, T.: Critical properties of a model of planar random surfaces. Phys. Lett.137, 93 (1984)

    Google Scholar 

  6. Pohlmeyer, K., Rehren, K.-H.: The invariant charges of the Nambu-Goto theory: their geometric origin and their completeness. Commun. Math. Phys. (in press)

  7. Dixmier, J.: Enveloping algebras. North-Holland Mathematical Library Vol. 14. Amsterdam: North-Holland 1977

    Google Scholar 

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Authors and Affiliations

  1. Fakultät für Physik der Universität Freiburg, Hermann-Herder-Strasse 3, D-7800, Freiburg, Federal Republic of Germany

    K. Pohlmeyer

  2. Institut für Theorie der Elementarteilchen, Fachbereich Physik, Freie Universität Berlin, Arnimallee 14, D-1000, Berlin 33, Federal Republic of Germany

    K. -H. Rehren

Authors
  1. K. Pohlmeyer
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  2. K. -H. Rehren
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Communicated by K. Osterwalder

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Pohlmeyer, K., Rehren, K.H. The algebra formed by the invariant charges of the Nambu-Goto theory: Identification of a maximal Abelian subalgebra. Commun.Math. Phys. 114, 55–68 (1988). https://doi.org/10.1007/BF01218288

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  • DOI: https://doi.org/10.1007/BF01218288

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