Prompt Quark Production by exploding Sphalerons

Abstract

Following recent works on production and subsequent explosive decay of QCD sphaleron-like clusters, we discuss the mechanism of quark pair production in this process. We first show how the gauge field explosive solution of Luscher and Schechter can be achieved by non-central conformal mapping from the O(4)-symmetric solution. Our main result is a new solution to the Dirac equation in real time in this configuration, obtained by the same inversion of the fermion O(4) zero mode. It explicitly shows how the quark acceleration occurs, starting from the spherically O(3) symmetric zero energy chiral quark state to the final spectrum of non-zero energies. The sphaleron-like clusters with any Chern-Simons number always produce ${\mathrm{N}}_{\mathrm{F}}\bar{\mathbf{L}}\mathbf{R}$ quarks, and the antisphaleron-like clusters the chirality opposite. The result are relevant for hadron-hadron and nucleus-nucleus collisions at large $\sqrt{s}$, wherein such clusters can be produced.

References in corpus (4)

• Instanton-induced Inelastic Collisions in QCD
• Forced Tunneling and Turning State Explosion in Pure Yang-Mills Theory
• Prompt Multi-Gluon Production in High Energy Collisions from Singular Yang-Mills Solutions
• Spectral flow of chiral fermions in nondissipative Yang-Mills gauge field backgrounds

Cited by in corpus (21)

• The Chiral Magnetic Effect
• Some Features of the Glasma
• Chiral Magnetic conductivity
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Electric Charge Separation in Strong Transient Magnetic Fields
• Quark-antiquark production from classical fields in heavy ion collisions: 1+1 dimensions
• Dilepton excess from local parity breaking in baryon matter
• The role of the chiral anomaly in polarized deeply inelastic scattering II: Topological screening and transitions from emergent axion-like dynamics
• Jet Quenching in High Energy Heavy Ion Collisions by QCD Synchrotron-like Radiation
• Heavy Holographic Exotics: Tetraquarks as Efimov States
• Chiral transition and the chiral charge density of the hot and dense QCD matter
• Baryogenesis and helical magnetogenesis from the electroweak transition of the minimal Standard Model
• Semiclassical Double-Pomeron Production of Glueballs and ${\eta }^{\prime }$
• QCD Flux Tubes and Anomaly Inflow
• Chiral Magnetic Effect and Chiral Phase Transition
• Possible Role of the WZ-Top-Quark Bags in Baryogenesis
• Lectures on nonperturbative QCD ( Nonperturbative Topological Phenomena in QCD and Related Theories)
• How to observe the QCD instanton/sphaleron processes at hadron colliders?
• Study of the effects of external imaginary electric field and chiral chemical potential on quark matter
• Evolution and fluctuations of chiral chemical potential in heavy ion collisions
• Helicity polarization in relativistic heavy ion collisions