2019/04/30 by Marco Catillo, L. Ya. Glozman, Leonid Ya. Glozman +2
Physics and Astronomy · #Baryon #Cold Atom Physics and Bose-Einstein Condensates #Dirac operator #Geometry #Hadron #Homogeneous space #Mathematical physics #Operator (biology) #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quark #Symmetry (geometry) #Theoretical physics #Zero mode #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevd.99.094040
published as Phys. Rev. D 99, 094040 (2019) · Accepted by PRD
arxiv created 2019/05/15 · openalex publication_date 2019/05/29 · arxiv updated 2019/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Truncating the low-lying modes of the lattice Dirac operator results in an emergence of the chiral-spin symmetry SU(2)CS and its flavor extension SU(2NF) in hadrons. These are symmetries of the quark-chromoelectric interaction and include chiral symmetries as subgroups. Hence the quark-chromomagnetic interaction, which breaks both symmetries, is located at least predominantly in the near-zero modes. Using as a tool the expansion of propagators into eigenmodes of the Dirac operator we here analytically study effects of a gap in the eigenmode spectrum on baryon correlators. We find that both U(1)A and SU(2)L\ifmmode×\else\texttimes\fiSU(2)R emerge automatically if there is a gap around zero. Emergence of larger SU(2)CS and SU(4) symmetries requires in addition a microscopical dynamical input about the higher-lying modes and their symmetry structure.