Flavour-coherent propagators and Feynman rules: Covariant cQPA formulation

Abstract

We present a simplified and generalized derivation of the flavour-coherent propagators and Feynman rules for the fermionic kinetic theory based on coherent quasiparticle approximation (cQPA). The new formulation immediately reveals the composite nature of the cQPA Wightman function as a product of two spectral functions and an effective two-point interaction vertex, which contains all quantum statistical and coherence information. We extend our previous work to the case of nonzero dispersive self-energy, which leads to a broader range of applications. By this scheme, we derive flavoured kinetic equations for local 2-point functions $S_{\mathbf{k}}^{<,>}(t,t)$, which are reminiscent of the equations of motion for the density matrix. We emphasize that in our approach all the interaction terms are derived from first principles of nonequilibrium quantum field theory.

20 pages, 3 figures. Minor modifications, version published in JHEP

References in corpus (8)

• Thermal production of relativistic Majorana neutrinos: Strong enhancement by multiple soft scattering
• Instability-induced fermion production in quantum field theory
• Coherent quantum Boltzmann equations from cQPA
• Towards a kinetic theory for fermions with quantum coherence
• Quantum kinetic theory for fermions in temporally varying backrounds
• Decoherence in an Interacting Quantum Field Theory: Thermal Case
• Quantum kinetic theory with nonlocal coherence
• Quantum properties of a non-Gaussian state in the large-N approximation

Cited by in corpus (18)

• Matter and Antimatter in the Universe
• The Phenomenology of Right Handed Neutrinos
• Dark Matter, Baryogenesis and Neutrino Oscillations from Right Handed Neutrinos
• Leptogenesis from a GeV Seesaw without Mass Degeneracy
• Effective Theory of Resonant Leptogenesis in the Closed-Time-Path Approach
• Kadanoff-Baym Approach to Flavour Mixing and Oscillations in Resonant Leptogenesis
• Resonant enhancement in leptogenesis
• Neutrino propagation in media: Flavor-, helicity-, and pair correlations
• Uniting low-scale leptogeneses
• The Boltzmann Equation from Quantum Field Theory
• CP-violating transport theory for Electroweak Baryogenesis with thermal corrections
• Cuts, Cancellations and the Closed Time Path: The Soft Leptogenesis Example
• Flavour mixing transport theory and resonant leptogenesis
• An exact solution of the Dirac equation with CP violation
• Boltzmann equations for preheating
• Leptogenesis: Theory and Neutrino Masses
• Reconciling resonant leptogenesis and baryogenesis via neutrino oscillations
• Relating quantum mechanics and kinetics of neutrino oscillations