Dynamical breaking of conformal symmetry in the massless Thirring model

2003/05/22 by M. Faber, Faber, M., A. N. Ivanov +1
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0305203

9 pages, Latex, no figures

arxiv created 2003/05/22 · openalex publication_date 2003/05/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss conformal invariance of the massless Thirring model. We show that conformal symmetry of the massless Thirring model is dynamically broken due to the constant of motion caused by the equations of motion. This confirms the existence of the chirally broken phase in the massless Thirring model (Eur. Phys. J. C20, 723 (2001), which is accompanied by the appearance of massless (pseudo)scalar Goldstone bosons (Eur. Phys. J. C24, 653 (2002), hep-th/0210104 and hep-th/0305174).

Citations

• Massless Thirring fermion fields in the boson field representation

Cited by

• On spontaneous breaking of continuous symmetry in 1+1-dimensional space-time

Related

• No massless boson in chiral symmetry breaking in NJL and Thirring models
• Goldstone bosons in the massless Thirring model. Witten's criterion
• The Role of Conformal Symmetry in Abelian Bosonization of the Massive Thirring Model
• Abelian Bosonization, the Wess-Zumino Functional and Conformal Symmetry
• Massless Thirring fermion fields in the boson field representation