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On bosonization of free massless fermions

II. — Case of the infinite line

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Il Nuovo Cimento A (1965-1970)

Summary

Explicit formulae for the Coleman-Mandelstam bosonization procedure for the massless fermionic fields are presented. The construction for the fields defined on the infinite line is performed by means of the conformal transformation of the corresponding representation for the periodic fields. Properties of the resulting massless scalar field are given and the bosonization procedure is interpreted as a relation between additive and multiplicative Riemann-Hilbert problems.

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Authors and Affiliations

  1. Steklov Mathematical Institute, Moscow, Russia

    A. K. Pogrebkov

  2. Scuola Normale Superiore di Pisa, Pisa, Italy

    M. C. Prati

  3. INFN, Sezione di Pisa, Pisa, Italy

    M. C. Prati

Authors
  1. A. K. Pogrebkov
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  2. M. C. Prati
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Corresponding author

Correspondence to A. K. Pogrebkov.

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Pogrebkov, A.K., Prati, M.C. On bosonization of free massless fermions. Nuov Cim A 109, 9–17 (1996). https://doi.org/10.1007/BF02734425

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  • DOI: https://doi.org/10.1007/BF02734425

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