MASSLESS THIRRING MODEL AND BETHE-ANSATZ WAVE-FUNCTION

The quantum one-dimensional massless Thirring model is studied. A tran sformation which casts the massless Thirring model into a quadratic fo rm is found. The transformed field operators satisfy interesting commu tation relations, fermion anti-commutation relations among the same ki nds of fields and anyon-like commutation relations between different k inds. Bethe Ansatz wavefunctions are constructed algebraically using t he transformation and the commutation relations in coordinate space.