New Vacuum of Bethe Ansatz Solutions in Thirring Model

2005 
We find a new vacuum of the Bethe ansatz solutions in the massless Thirring model. This vacuum breaks the chiral symmetry and has the lower energy than the well-known symmetric vacuum energy. Further, we evaluate the energy spectrum of the one particle–one hole (1 p –1 h ) states, and find that it has a finite gap. The analytical expressions for the true vacuum as well as for the lowest 1 p –1 h excited state are also found. Further, we examine the bosonization of the massless Thirring model and prove that the well-known procedure of bosonization of the massless Thirring model is incomplete because of the lack of the zero mode in the boson field.
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