The Wigner Function of Produced Particles in String Fragmentation

Abstract

We show that QCD4 with transverse confinement can be approximately compactified into QCD2 with a transverse quark mass $m_{{}_T}$ that is obtained by solving a set of coupled transverse eigenvalue equations. In the limits of a strong coupling and a large number of flavors, QCD2 further admits Schwinger QED2-type bosonized solutions. We therefore examine phenomenologically the space-time dynamics of produced particles in string fragmentation by studying the Wigner function of produced bosons in Schwinger QED2, which mimics many features of string fragmentation in quantum chromodynamics. We find that particles with momenta in different regions of the rapidity plateau are produced at the initial moment of string fragmentation as a quark pulls away from an antiquark at high energies, in contrast to classical pictures of string fragmentation with longitudinal space-momentum-time ordering.

25 pages, 7 figures

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• Open string QED meson description of the X17 particle and dark matter
• Momentum Kick Model Analysis of PHENIX Near-Side Ridge Data and Photon Jet
• The Compactification of QCD${}_4$ to QCD${}_2$ in a Flux Tube
• Bose-Einstein Interference in the Passage of a Jet in a Dense Medium
• On the stability of the open-string QED neutron and dark matter
• On the question of quark confinement in the Abelian U(1) QED gauge interaction
• Dynamics of quarks and gauge fields in the lowest-energy states in QCD and QED
• QED meson description of the anomalous particles at ~17 and ~38 MeV
• Feynman Amplitude Approach to study the Passage of a Jet in a Medium
• Long-range azimuthal correlations for partially coherent pion emission in proton-proton collisions
• Novel Bose-Einstein Interference in the Passage of a Fast Particle in a Dense Medium