Pion spectroscopy and dynamics using the holographic light-front Schrödinger equation and the ’t Hooft equation. (English) Zbl 1518.83067
Summary: We show that the holographic Schrödinger equation of light-front chiral QCD, together with the ’t Hooft equation of \((1+1)\)-dimensional QCD in the large \(N_c\) limit, can simultaneously describe pion spectroscopy as well as the pion decay constant, charge radius, electromagnetic form factor, photon-to-pion transition form factor, Parton Distribution Function (PDF) and Distribution Amplitude (DA). Furthermore, the chiral-limit constraints, as encoded in the Gell-Mann-Oakes-Renner (GMOR) relation, are satisfied.
MSC:
| 83E05 | Geometrodynamics and the holographic principle |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 81V05 | Strong interaction, including quantum chromodynamics |
| 81V35 | Nuclear physics |
| 81V15 | Weak interaction in quantum theory |
| 81R40 | Symmetry breaking in quantum theory |
| 81U90 | Particle decays |
| 81V80 | Quantum optics |
| 81V25 | Other elementary particle theory in quantum theory |
Keywords:
light-front holographic QCD; ’t Hooft equation; pions; longitudinal dynamics; chiral symmetry breaking; confinementSoftware:
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