Decoherence in an Interacting Quantum Field Theory: Thermal Case
arXiv:1102.4713 · doi:10.1103/PhysRevD.83.085011
Abstract
We study the decoherence of a renormalised quantum field theoretical system. We consider our novel correlator approach to decoherence where entropy is generated by neglecting observationally inaccessible correlators. Using out-of-equilibrium field theory techniques at finite temperatures, we show that the Gaussian von Neumann entropy for a pure quantum state asymptotes to the interacting thermal entropy. The decoherence rate can be well described by the single particle decay rate in our model. Connecting to electroweak baryogenesis scenarios, we moreover study the effects on the entropy of a changing mass of the system field. Finally, we compare our correlator approach to existing approaches to decoherence in the simple quantum mechanical analogue of our field theoretical model. The entropy following from the perturbative master equation suffers from physically unacceptable secular growth.
36 pages, 22 figures
References in corpus (58)
- Decoherence, einselection, and the quantum origins of the classical
- Semiclassicality and Decoherence of Cosmological Perturbations
- Introduction to Nonequilibrium Quantum Field Theory
- Standard Model CP-violation and Baryon asymmetry
- Electroweak Baryogenesis and Standard Model CP Violation
- Standard Model CP-violation and Baryon asymmetry Part II: Finite Temperature
- Quantum-to-classical transition for fluctuations in the early Universe
- Baryogenesis in the Two-Higgs Doublet Model
- Baryon Asymmetry of the Universe in the Minimal Standard Model
- Baryon Asymmetry of the Universe in the Standard Model
- Far-from-equilibrium dynamics with broken symmetries from the 2PI-1/N expansion
- Quantum Fluctuations, Decoherence of the Mean Field, and Structure Formation in the Early Universe
- Quantum-to-classical Transition of Cosmological Perturbations for Non-vacuum Initial States
- Pointer states for primordial fluctuations in inflationary cosmology
- n-Particle irreducible effective action techniques for gauge theories
- Decoherence during Inflation: the generation of classical inhomogeneities
- Quantum Brownian Motion in a Bath of Parametric Oscillators: A model for system-field interactions
- Thermalization of fermionic quantum fields
- Electroweak Phase Transition and Baryogenesis in the nMSSM
- Renormalization in Self-Consistent Approximation schemes at Finite Temperature III: Global Symmetries
- Standard Model CP-violation and Baryon asymmetry Part I: Zero Temperature
- MSSM Electroweak Baryogenesis and Flavour Mixing in Transport Equations
- Dark Matter, Light Stops and Electroweak Baryogenesis
- On the Decoherence of Primordial Fluctuations During Inflation
- Nonequilibrium dynamics of fermions in a spatially homogeneous scalar background field
- The Entropy of the Gravitational Field
- Stochastic dynamics of correlations in quantum field theory: From Schwinger-Dyson to Boltzmann-Langevin equation
- Equilibration in phi^4 theory in 3+1 dimensions
- On the Decoherence of Primordial Fluctuations During Inflation
- Nonequilibrium Quantum-Field Dynamics and Off-Shell Transport for -theory in 2+1 dimensions
- Nonequilibrium Dynamics of Scalar Fields in a Thermal Bath
- Renormalizability of Phi-derivable approximations in scalar phi^4 theory
- Inflationary spectra and partially decohered distributions
- Kadanoff-Baym Equations with Non-Gaussian Initial Conditions: The Equilibrium Limit
- Decoherence and thermalization of a pure quantum state in quantum field theory
- Classicality of the primordial perturbations
- Supergauge interactions and electroweak baryogenesis
- Decoherence from a Chaotic Environment: An Upside Down "Oscillator" as a Model
- Decoherence from Isocurvature Perturbations in Inflation
- Decoherence and entropy of primordial fluctuations. I: Formalism and interpretation
- Particle abundance in a thermal plasma: quantum kinetics vs. Boltzmann equation
- Coherent quantum Boltzmann equations from cQPA
- Techniques for n-Particle Irreducible Effective Theories
- Decoherence in an Interacting Quantum Field Theory: The Vacuum Case
- Decoherence and entropy of primordial fluctuations II. The entropy budget
- Towards a kinetic theory for fermions with quantum coherence
- Leading Order QCD Shear Viscosity from the 3PI Effective Action
- Quantum kinetic theory for fermions in temporally varying backrounds
- Renormalization of the nonequilibrium dynamics of fermions in a flat FRW universe
- Decoherence due to the Horizon after Inflation
- Kinetic theory for scalar fields with nonlocal quantum coherence
- Entropy and Correlators in Quantum Field Theory
- Coherent Baryogenesis
- Next-to-Leading Order Transport Coefficients from the Four-Particle Irreducible Effective Action
- SO(10)-GUT Coherent Baryogenesis
- Correlation Entropy of an Interacting Quantum Field and H-theorem for the O(N) Model
- The Scalar Field Kernel in Cosmological Spaces
- Renormalisation of out-of-equilibrium quantum fields
Cited by in corpus (21)
- Entanglement entropy of black holes
- Quantum gravitational decoherence from fluctuating minimal length and deformation parameter at the Planck scale
- Open quantum dynamics induced by light scalar fields
- On the Role of Quasiparticles and thermal Masses in Nonequilibrium Processes in a Plasma
- Flavour-coherent propagators and Feynman rules: Covariant cQPA formulation
- Entropy and Correlators in Quantum Field Theory
- Primordial cosmic fluctuations for variable gravity
- On the Langevin description of nonequilibrium quantum fields
- A new method for directly computing reduced density matrices
- Time transients in the quantum corrected Newtonian potential induced by a massless nonminimally coupled scalar field
- Antiscreening in perturbative quantum gravity and resolving the Newtonian singularity
- Scalar field dark matter in hybrid approach
- Decoherence and Dynamical Entropy Generation in Quantum Field Theory
- A gravitationally induced decoherence model using Ashtekar variables
- An exact solution of the Dirac equation with CP violation
- Entropy production in inflation from spectator loops
- Kinetic theory and classical limit for real scalar quantum field in curved space-time
- On decoherence of cosmological perturbations and stochastic inflation
- Renormalization out of equilibrium in a superrenormalizable theory
- Decoherence and entropy generation in an open quantum scalar-fermion system with Yukawa interaction
- Real-time Quantum evolution in the Classical approximation and beyond