Self-consistent Approach to Off-Shell Transport

Abstract

The properties of two forms of the gradient expanded Kadanoff--Baym equations, i.e. the Kadanoff--Baym and Botermans-Malfliet forms, suitable to describe the transport dynamics of particles and resonances with broad spectral widths, are discussed in context of conservation laws, the definition of a kinetic entropy and the possibility of numerical realization. Recent results on exact conservations of charge and energy-momentum within Kadanoff-Baym form of quantum kinetics based on local coupling schemes are extended to two cases relevant in many applications. These concern the interaction via a finite range potential, and, relevant in nuclear and hadron physics, e.g. for the pion--nucleon interaction, the case of derivative coupling.

35 pages, submitted to issue of Phys. Atom. Nucl. dedicated to S.T. Belyaev on the occasion of his 80th birthday. Few references are added

References in corpus (14)

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• Semiclassical transport of particles with dynamical spectral functions
• Renormalization of Self-consistent Approximation schemes Finite Temperature II: Applications to the Sunset Diagram
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• Self-Consistent Approximations to Non-Equilibrium Many-Body Theory
• Gauge-fixing dependence of Phi-derivable approximations
• Exact Conservation Laws of the Gradient Expanded Kadanoff-Baym Equations
• Towards a test particle description of transport processes for states with continuous mass spectra
• NON-EQUILIBRIUM DESCRIPTION OF BREMSSTRAHLUNG IN DENSE MATTER (Landau - Pomeranchuk - Migdal Effect)
• Off-shell effects on particle production
• Thermodynamic consistency for nuclear matter calculations
• Short-range correlations in nuclear matter using Green's functions within a discrete pole approximation
• Particle production in quantum transport theories

Cited by in corpus (19)

• Transport-theoretical Description of Nuclear Reactions
• Parton-Hadron-String Dynamics: an off-shell transport approach for relativistic energies
• Parton-Hadron-String Dynamics at Relativistic Collider Energies
• From Kadanoff-Baym dynamics to off-shell parton transport
• Nonequilibrium Quantum-Field Dynamics and Off-Shell Transport for ${\varphi }^4$-theory in 2+1 dimensions
• Gapless Hartree-Fock Resummation Scheme for the O(N) Model
• Renormalization of a gapless Hartree-Fock approximation to a theory with spontaneously broken O(N)-symmetry
• Relativistic Mean-Field Model with Scaled Hadron Masses and Couplings
• Transport Theory beyond Binary Collisions
• Hadron Liquid with a Small Baryon Chemical Potential at Finite Temperature
• Structure formation during phase transitions in strongly interacting matter
• Nonequilibrium thermodynamics with binary quantum correlations
• Hydrodynamics of Resonances
• Thermodynamics of resonances and blurred particles
• Dilepton production from parton interactions in the early stage of relativistic heavy-ion collisions
• Dynamics of Resonances in Strongly Interacting Systems
• Nonequilibrium dynamics and transport near the chiral phase transition of a quark-meson model
• Kinetics of the chiral phase transition in a quark-meson $\sigma$-model
• Non-Equilibrium 2PI Potential and Its Possible Application to Evaluation of Bulk Viscosity