Duality between quark-quark and quark-antiquark pairing in (1+1)-dimensional largeNmodels

2003/03/07 by Michael Thies
Mathematics · Physics and Astronomy · #Baryon #Bottom quark #Charge (physics) #Combinatorics #Duality (order theory) #Mathematical physics #Mathematics #Pairing #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Quark model #Superconductivity #Top quark #Up quark #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.68.047703

published as Phys.Rev. D68 (2003) 047703 · 3 pages, no figures, Revtex; v2: one reference added

arxiv created 2003/03/07 · openalex publication_date 2003/08/06 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We identify a canonical transformation which maps the chiral Gross-Neveu model onto a recently proposed Cooper pair model. Baryon number and axial charge are interchanged. The same physics can be described either as chiral symmetry breaking (quark-antiquark pairing) or as superconductivity (quark-quark pairing).

Citations

• Revised phase diagram of the Gross-Neveu model
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• Two-dimensional model with chiral condensates and Cooper pairs having a QCD-like phase structure