Abstract

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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