2003/09/30 by Jorge Alfaro, A. A. Andrianov, Alexander A. Andrianov +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Chiral symmetry breaking #Lattice QCD #Nambu–Jona-Lasinio model #Particle physics #Particle physics theoretical and experimental studies #Physics #Pseudoscalar #QCD vacuum #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #hep-ph #hep-th
paper · pdf · doi:10.1088/1126-6708/2004/07/067
published in Journal of High Energy Physics 2004(07), 067 (Springer Nature) · JHEP class, 16 pages, 3 figures. Change in the title, some improvements in section 2, minors changes and comments added in introduction and conclusions. References added. Version appearing in JHEP
openalex publication_date 2004/07/28 · arxiv created 2004/08/11 · arxiv updated 2016/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study an extended QCD model in (1+1) dimensions obtained from QCD in 4D by compactifying two spatial dimensions and projecting onto the zero-mode subspace. We work out this model in the large Nc limit and using light cone gauge but keeping the equal-time quantization. This system is found to induce a dynamical mass for transverse gluons -- adjoint scalars in QCD(2), and to undergo a chiral symmetry breaking with the full quark propagators yielding non-tachyonic, dynamical quark masses, even in the chiral limit. We study quark-antiquark bound states which can be classified in this model by their properties under Lorentz transformations inherited from 4D. The scalar and pseudoscalar sectors of the theory are examined and in the chiral limit a massless ground state for pseudoscalars is revealed with a wave function generalizing the so called 't Hooft pion solution.