Self-consistent four-point functions in NR EFT with Keldysh-Schwinger formalism render Sommerfeld unitarization temperature-dependent and keep bound states on-shell in out-of-equilibrium decay even with finite-width Breit-Wigner spectra.
van Hees and J
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abstract
Within finite temperature field theory, we show that truncated non-perturbative self-consistent Dyson resummation schemes can be renormalized with local counter-terms defined at the vacuum level. The requirements are that the underlying theory is renormalizable and that the self-consistent scheme follows Baym''s $\Phi$-derivable concept. The scheme generates both, the renormalized self-consistent equations of motion and the closed equations for the infinite set of counter terms. At the same time the corresponding 2PI-generating functional and the thermodynamical potential can be renormalized, in consistency with the equations of motion. This guarantees the standard $\Phi$-derivable properties like thermodynamic consistency and exact conservation laws also for the renormalized approximation schemes to hold. The proof uses the techniques of BPHZ-renormalization to cope with the explicit and the hidden overlapping vacuum divergences.
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Lattice data indicate hot QCD features an intermediate phase with emergent chiral spin symmetry and thermoparticles as thermal constituents, differing from perturbative expectations.
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Self-consistent computation of pair production from non-relativistic effective field theories in the Keldysh-Schwinger formalism
Self-consistent four-point functions in NR EFT with Keldysh-Schwinger formalism render Sommerfeld unitarization temperature-dependent and keep bound states on-shell in out-of-equilibrium decay even with finite-width Breit-Wigner spectra.
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Emergent chiral spin symmetry, non-perturbative dynamics and thermoparticles in hot QCD
Lattice data indicate hot QCD features an intermediate phase with emergent chiral spin symmetry and thermoparticles as thermal constituents, differing from perturbative expectations.