A study of potential non-relativistic QED pairs in the Keldysh-Schwinger formalism

Abstract

Potential non-relativistic Quantum Electrodynamics and the Keldysh-Schwinger formalism is used to derive Kadanoff-Baym-like equations for two-body field correlators. These cover the out-off-equilibrium dynamics and spectrum of heavy particle-antiparticle pairs under ultra-soft transitions inside a plasma background, whose temperature is much smaller compared to the typical relative pair momentum. It is shown that the dynamical equation for the pair phase-space distribution function, containing recombination and dissociation via the electric dipole interactions, is consistent with the previous open quantum system treatment of bound states in the Coulomb limit of the two-body spectral function.

arXiv comment10 pages, 1 figure, major revision

References in corpus (26)

• Potential NRQCD: an effective theory for heavy quarkonium
• Effective field theories for heavy quarkonium
• A New Calculation of the Recombination Epoch
• New physics in light of the $H_0$ tension: an alternative view
• Real-time static potential in hot QCD
• Non-perturbative Effect on Thermal Relic Abundance of Dark Matter
• Static quark-antiquark pairs at finite temperature
• Non-minimal dark sector physics and cosmological tensions
• J/$\psi$ suppression at forward rapidity in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• J/psi suppression at forward rapidity in Au+Au collisions at sqrt(s_NN)=200 GeV
• Quarkonium suppression in heavy-ion collisions: an open quantum system approach
• Heavy quarkonium suppression in a fireball
• Cosmological Implications of Dark Matter Bound States
• Heavy quark master equations in the Lindblad form at high temperatures
• Thermal width and quarkonium dissociation by inelastic parton scattering
• Implications for the Hubble tension from the ages of the oldest astrophysical objects
• Quarkonium In-Medium Transport Equation Derived from First Principles
• Prompt and non-prompt $J/\psi$ and $\psi (2\mathrm{S})$ suppression at high transverse momentum in 5.02 TeV Pb+Pb collisions with the ATLAS experiment
• Cosmological hydrogen recombination: populations of the high level sub-states
• Quarkonium inside Quark-Gluon Plasma: Diffusion, Dissociation, Recombination and Energy Loss
• Transport coefficients from in medium quarkonium dynamics
• CosmoSpec: Fast and detailed computation of the cosmological recombination radiation from hydrogen and helium
• Rico: An Accurate Cosmological Recombination Code
• Measurement of inclusive $J/\psi$ suppression in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV through the dimuon channel at STAR
• Reannihilation of self-interacting dark matter
• Dark Matter Sommerfeld-enhanced annihilation and Bound-state decay at finite temperature