nLab quark-hadron duality

Contents

matter field fermions (spinors, Dirac fields)

flavors of fundamental fermions in the standard model of particle physics:
generation of fermions	1st generation	2nd generation	3d generation
quarks ( $q$ )
up-type	up quark ( $u$ )	charm quark ( $c$ )	top quark ( $t$ )
down-type	down quark ( $d$ )	strange quark ( $s$ )	bottom quark ( $b$ )
leptons
charged	electron	muon	tauon
neutral	electron neutrino	muon neutrino	tau neutrino

bound states:
mesons	light mesons: pion ( $u d$ ) ρ-meson ( $u d$ ) ω-meson ( $u d$ ) f1-meson a1-meson	strange-mesons: ϕ-meson ( $s \bar s$ ), kaon, K-meson ( $u s$ , $d s$ ) eta-meson ( $u u + d d + s s$ ) charmed heavy mesons*: D-meson ( $u c$ , $d c$ , $s c$ ) J/ψ-meson ( $c \bar c$ )	bottom heavy mesons: B-meson ( $q b$ ) ϒ-meson ( $b \bar b$ )
baryons	nucleons: proton $(u u d)$ neutron $(u d d)$

hadrons (bound states of the above quarks)

bosinos:

dark matter candidates

Exotica

auxiliary fields

Idea

What came to be called quark-hadron duality is a duality between scattering amplitudes of, on the one hand quarks (color charge in quantum chromodynamics) and, on the other hand, hadrons (flavor charge in quantum hadrodynamics), valid in a certain parameter range.

The original article:

E. C. Poggio, H. R. Quinn, and Steven Weinberg, Smearing method in the quark model, Phys. Rev. D 13, 1958 (1976) (doi:10.1103/PhysRevD.13.1958)

Review:

Mikhail Shifman, Quark-Hadron Duality, in: At The Frontier of Particle Physics, pp. 1447-1494 (2001) (doi:10.1142/9789812810458_0032)
Mikhail Shifman, Lectures on quark-hadron duality, Czech J Phys 52, B102–B135 (2002) (doi:10.1007/s10582-002-0080-6)