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The Thirring-model current group and its representations

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Abstract

The Gel'fand-Araki method is used to construct universally covariant representations of the Thirring-model current group. In this representation the currents are recovered as infinitesimal generators of the corresponding one-parametric subgroups. The determination of the generators of the two-dimensional Poincaré group is discussed and the existence of a selfadjoint Hamiltonian is shown. The possibility of determining the charges and their connection with the quantities defining the representation of the Thirring-model current group (algebra) is considered.

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Authors and Affiliations

  1. Leningrad Institute of Aircraft Instrumentation, USSR

    E. V. Damaskinskii & P. P. Kulish

Authors
  1. E. V. Damaskinskii
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  2. P. P. Kulish
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 57–62, November, 1975.

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Damaskinskii, E.V., Kulish, P.P. The Thirring-model current group and its representations. Soviet Physics Journal 18, 1545–1549 (1975). https://doi.org/10.1007/BF01686406

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  • DOI: https://doi.org/10.1007/BF01686406

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