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Chiral symmetry breaking and scalar string confinement

2003/05/18 by Pedro Bicudo, P. Bicudo, G. Marques +1
Physics and Astronomy · #Chiral symmetry breaking #Dirac equation #Explicit symmetry breaking #High-Energy Particle Collisions Research #Massless particle #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quark #Scalar (mathematics) #Spontaneous symmetry breaking #Symmetry breaking #hep-ph

paper · pdf · doi:10.1103/physrevd.70.094047

published as Phys.Rev. D70 (2004) 094047 · 4 pages, 5 figures, contribution to the XXXVIIIth Rencontres de Moriond QCD and High Energy Hadronic Interactions

arxiv created 2003/05/18 · openalex publication_date 2004/11/29 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We address the old difficulty in accommodating the scalar quark-antiquark confining potential together with chiral symmetry breaking. We develop a quark confining potential inspired in the QCD scalar flux tube. The coupling to quarks consists in a double vector vertex. We study the Dirac and spin structure of this potential. In the limit of massless quarks, the quark vertex is vector. Nevertheless, symmetry breaking generates a new scalar quark vertex. In the heavy quark limit, the coupling is mostly scalar. We solve the mass gap equation and find that this potential produces spontaneous chiral symmetry breaking for light quarks. The quantitative results of this model are encouraging.

Citations