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Conserved currents and symmetry transformations in local scattering theory

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Abstract

The relation between conserved currents and symmetries of theS-matrix is investigated within the framework of Wightman field theory. Assuming a complete particle interpretation with no massless particles, it is shown that every conserved current yields a self-adjoint charge operator which acts additively onn-particle states and commutes with theS-matrix. For currents satisfying current algebra relations of a groupG, the corresponding charges generate a unitary representation ofG.

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Author notes

  1. K. Kraus

    Present address: Physikalisches Institut der Universität, Röntgenring 8, D-87 Würzburg, Germany

Authors and Affiliations

  1. Institut für Theoretische Physik der Universität Marburg, Germany

    K. Kraus

  2. Seminar für Theoretische Physik der ETH Zürich, Switzerland

    L. J. Landau

Authors
  1. K. Kraus
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  2. L. J. Landau
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Kraus, K., Landau, L.J. Conserved currents and symmetry transformations in local scattering theory. Commun.Math. Phys. 24, 243–252 (1972). https://doi.org/10.1007/BF01877716

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  • DOI: https://doi.org/10.1007/BF01877716

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