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On bosonization of free massless fermions

I.—Periodic case

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

Explicit formulae for bosonization of massless fermionic fields in the periodic case are presented. The scalar field which results in this procedure is constructed in terms of fermionic operators. It is shown that this scalar field is non-Weyl and vacuum expectation values of products of these fields do not exist. An interpretation of the bosonization procedure as a relation between two (additive and multiplicative) Riemann-Hilbert problems is suggested.

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Author information

Author notes

  1. A. K. Pogrebkov

    Present address: Steklov Mathematical Institute, Moscow, Russia

Authors and Affiliations

  1. Dipartimento di Fisica dell’Università, Lecce

    A. K. Pogrebkov

  2. Scuola Normale Superiore, Pisa

    M. C. Prati

  3. INFN, Sezione di Pisa, Pisa

    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.

Additional information

The authors of this paper have agreed to not receive the proofs for correction.

Work supported in part by Ministero delle Università e della Ricerca Scientifica e Tecnologica, Italy.

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Pogrebkov, A.K., Prati, M.C. On bosonization of free massless fermions. Nuov Cim A 107, 1315–1323 (1994). https://doi.org/10.1007/BF02775770

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  • DOI: https://doi.org/10.1007/BF02775770

PACS 12.90

PACS 11.10

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