New Vacuum of Bethe Ansatz Solutions in Thirring Model

Details New Vacuum of Bethe Ansatz Solutions in Thirring Model New Vacuum of Bethe Ansatz Solutions in Thirring Model

2004-10-22

arxiv.org/abs/hep-th/0410221v1

J.Phys.Soc.Jap. 74 (2005) 1143-1149

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

10.1143/JPSJ.74.1143

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 ($1p-1h$) states, and find that it has a finite gap. The analytical expressions for the true vacuum as well as for the lowest $1p-1h$ 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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