Particle number in kinetic theory

Abstract

We provide a derivation for the particle number densities on phase space for scalar and fermionic fields in terms of Wigner functions. Our expressions satisfy the desired properties: for bosons the particle number is positive, for fermions it lies in the interval between zero and one, and both are consistent with thermal field theory. As applications we consider the Bunch-Davies vacuum and fermionic preheating after inflation.

9 pages, 2 figures, macros: revtex, epsfig. Published version

References in corpus (18)

• Towards the Theory of Reheating After Inflation
• Semiclassicality and Decoherence of Cosmological Perturbations
• Inflation and squeezed quantum states
• Probing Planckian physics: resonant production of particles during inflation and features in the primordial power spectrum
• The Quantum Vlasov Equation and its Markov Limit
• Transport equations for chiral fermions to order \hbar and electroweak baryogenesis: Part II
• Thermalization of fermionic quantum fields
• Nonequilibrium time evolution of the spectral function in quantum field theory
• Coupled fields in external background with application to nonthermal production of gravitinos
• Preheating of massive fermions after inflation: analytical results
• First principle derivation of semiclassical force for electroweak baryogenesis
• Entropy of a Classical Stochastic Field and Cosmological Perturbation
• Semiclassical force for electroweak baryogenesis: three-dimensional derivation
• Equal-Time Hierarchies for Quantum Transport Theory
• Equal-Time Hierarchies in Quantum Transport Theory
• Particle Production and Effective Thermalization in Inhomogeneous Mean Field Theory
• Particle production and classical condensates in de Sitter space
• Coherent Baryogenesis

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• Towards a kinetic theory for fermions with quantum coherence
• The effects of a fast-turning trajectory in multiple-field inflation
• Kinetic theory for scalar fields with nonlocal quantum coherence
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• Baryogenesis from Mixing of Lepton Doublets
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• An exact solution of the Dirac equation with CP violation
• Energy Density in Expanding Universes as Seen by Unruh's Detector
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• Thermal effects in Ising Cosmology
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• Cosmological Particle Creation Using an Equal-Time Wigner Formalism
• The thermal backreaction of a scalar field in de Sitter spacetime
• Perturbative and Nonperturbative Contributions to a Simple Model for Baryogenesis