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.
Nonequilibrium Dynamics of Scalar Fields in a Thermal Bath
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abstract
We study the approach to equilibrium for a scalar field which is coupled to a large thermal bath. Our analysis of the initial value problem is based on Kadanoff-Baym equations which are shown to be equivalent to a stochastic Langevin equation. The interaction with the thermal bath generates a temperature-dependent spectral density, either through decay and inverse decay processes or via Landau damping. In equilibrium, energy density and pressure are determined by the Bose-Einstein distribution function evaluated at a complex quasi-particle pole. The time evolution of the statistical propagator is compared with solutions of the Boltzmann equations for particles as well as quasi-particles. The dependence on initial conditions and the range of validity of the Boltzmann approximation are determined.
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Finite chemical potential splits particle and antiparticle phases in the homogeneous solution of the statistical propagator, yielding a transient interference pattern erased by damping.
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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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Nonequilibrium coherent effects at finite chemical potential
Finite chemical potential splits particle and antiparticle phases in the homogeneous solution of the statistical propagator, yielding a transient interference pattern erased by damping.