New Vacuum of Bethe Ansatz Solutions in Thirring Model

Abstract

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.

7 pages

References in corpus (9)

• On the equivalence between sine-Gordon model and Thirring model in the chirally broken phase of the Thirring model
• A new interpretation of Bethe ansatz solutions for massive Thirring model
• Strong Coupling Limit of Bethe Ansatz Solutions in Massive Thirring Model
• New spectrum and condensate in two dimensional QCD
• No Goldstone boson in NJL and Thirring models
• Bosonic vacuum wave functions from the BCS-type wave function of the ground state of the massless Thirring model
• Bound State Spectrum of Massive Thirring Model in Rest Frame
• Comment on "The massive Thirring model from XYZ spin chain" by Kolanovic et al
• Non-equivalence between Heisenberg XXZ spin chain and Thirring model

Cited by in corpus (5)

• Massless Thirring model in canonical quantization scheme
• Historical Mistake in Spontaneous Symmetry Breaking
• Quantum Key Distribution by Quantum Energy Teleportation
• Finite temperature Thirring model: from linearization through canonical transformations to correct normal form of thermofield solution
• Non-equivalence between Heisenberg XXZ spin chain and Thirring model