Hadron Production in terms of Green's Functions in Non-Equilibrium Matter

TL;DR

This paper presents a novel theoretical framework linking non-equilibrium Green's functions to hadron production during deconfinement, providing explicit formulas and matching experimental pion yields.

Contribution

It introduces a new approach connecting Green's functions with hadronization in non-equilibrium QCD, explicitly deriving hadron production rates during phase transitions.

Findings

Derived explicit hadron production rate formula.

Achieved good agreement with experimental pion yields.

Linked non-equilibrium Green's functions to confinement-deconfinement transition.

Abstract

Following the quark-hadron duality concept, we show that the number of hadrons generated in the deconfinement matter is entirely determined by the exact non-equilibrium Green's functions of partons in the medium and the vertex function governing the probability of the confinement-deconfinement phase transition. In such an approach, compactifying the standard (3+1) chromodynamics into $ QCD_{xy} + QCD_{zt}$, the rate of the hadrons produced in particle collisions is derived in the explicit form provided that the hadronization is the first order phase transition. The pion production is found to be in good agreement to the experimental results on the pion yield in pp collisions.