Relativistic Transport Theory for Systems Containing Bound States

Abstract

Using a Lagrangian which contains quarks as elementary degrees of freedom and mesons as bound states, a transport formalism is developed, which allows for a dynamical transition from a quark plasma to a state, where quarks are bound into hadrons. Simultaneous transport equations for both particle species are derived in a systematic and consistent fashion. For the mesons a formalism is used which introduces off-shell corrections to the off-diagonal Green functions. It is shown that these off-shell corrections lead to the appearance of elastic quark scattering processes in the collision integral. The interference of the processes $q\bar{q}\to \pi$ and $q\bar{q}\to \pi \to q\bar{q}$ leads to a modification of the $s$-channel amplitude of quark-antiquark scattering.

References in corpus (2)

• Derivation of transport equations for a strongly interacting Lagrangian in powers of $\hslash$ and $1/N_c$
• Developing Transport Theory to Systematically Include Mesons And Hadronization

Cited by in corpus (9)

• Transport coefficients near chiral phase transition
• Towards a test particle description of transport processes for states with continuous mass spectra
• Quantum kinetics and thermalization in an exactly solvable model
• Quantum kinetics and thermalization in a particle bath model
• Expansion and Hadronization of a Chirally Symmetric Quark--Meson Plasma
• Short-range correlations in quark matter
• Hadronization and Strangeness Production in a Chirally Symmetric Nonequilibrium Model
• Strangeness Production Incorporating Chiral Symmetry
• Spectral Functions of Quarks in Quark Matter