Massless Thirring fermion fields in the boson field representation

Abstract

We show that the boson field representation of the massless fermion fields, suggested by Morchio, Pierotti and Strocchi in J. Math. Phys. 33, 777 (1992) for the operator solution of the massless Thirring model, agrees completely with the existence of the chirally broken phase in the massless Thirring model revealed in EPJC 20, 723 (2001) and hep-th/0112183, when the free massless boson fields are described by the quantum field theory, free of infrared divergences in 1+1-dimensional space-time, formulated in hep-th/0112184 and hep-th/0204237.

24 pages, Latex, no figures, the Appendix is added, the procedure of the normal ordering of the exponential operators, depending on the free massless boson fields defined in the quantum field theory without infrared divergences, is formulated