Renormalization of the nonequilibrium dynamics of fermions in a flat FRW universe

Abstract

We derive the renormalized equations of motion and the renormalized energy-momentum tensor for fermions coupled to a spatially homogeneous scalar field (inflaton) in a flat FRW geometry. The fermion back reaction to the metric and to the inflaton field is formulated in one-loop approximation. Having determined the infinite counter terms in an $\overline{MS}$ scheme we formulate the finite terms in a form suitable for numerical computation. We comment on the trace anomaly which is inferred from the standard analysis. We also address the problem of initial singularities and determine the Bogoliubov transformation by which they are removed.

26 pages, LaTeX

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Cited by in corpus (20)

• On the Theory of Fermionic Preheating
• Thermalization of fermionic quantum fields
• Preheating of massive fermions after inflation: analytical results
• Quantum corrections to the inflaton potential and the power spectra from superhorizon modes and trace anomalies
• Low-cost fermions in classical field simulations
• The Effective Theory of Inflation in the Standard Model of the Universe and the CMB+LSS data analysis
• Observational constraints on particle production during inflation
• Imprint of entanglement entropy in the power spectrum of inflationary fluctuations
• Vacuum fluctuations in a supersymmetric model in FRW spacetime
• Adiabatic regularization with a Yukawa interaction
• Fermionic influence (action) on inflationary fluctuations
• Coupled scalar fields in a flat FRW universe: renormalisation
• Decoherence in an Interacting Quantum Field Theory: Thermal Case
• Cosmological decay of Higgs-like scalars into a fermion channel
• Non-Equilibrium Large N Yukawa Dynamics: marching through the Landau pole
• Quantum back-reaction of the superpartners in a large-N supersymmetric hybrid model
• Supersymmetric dark energy
• Ultralight dark matter or dark radiation cosmologically produced from infrared dressing
• Initial time singularities and admissible initial states for a system of coupled scalar fields
• Misalignment dynamics of Scalar Condensates with Yukawa coupling: Particle and Entropy Production