Deriving Boltzmann equations from Kadanoff-Baym equations in curved space-time

Hohenegger, Andreas; Kartavtsev, Alexander; Lindner, M.

doi:10.1103/physrevd.78.085027

Cited by 33 publications

(66 citation statements)

References 49 publications

(89 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As has been demonstrated in Ref. [67], this is the case for scalar fields. A manifestly covariant generalization of center and relative coordinates X and s to curved space-time can be found in Ref.…”

Section: B Kadanoff-baym Equations For Leptonsmentioning

confidence: 71%

See 1 more Smart Citation

Systematic approach to thermal leptogenesis

et al. 2013

Self Cite

View full text Add to dashboard Cite

In this work we study the contribution to leptogenesis from ∆L = 1 decay and scattering processes mediated by the Higgs with quarks in the initial and final states using the formalism of non-equilibrium quantum field theory. Starting from fundamental equations for correlators of the quantum fields we derive quantum-corrected Boltzmann and rate equations for the total lepton asymmetry improved in that they include quantum-statistical effects and medium corrections to the quasiparticle properties. To compute the collision term we take into account one-and two-loop contributions to the lepton self-energy and use the extended quasiparticle approximation for the Higgs two-point function. The resulting CP-violating and washout reaction densities are numerically compared to the conventional ones.

show abstract

Section: B Kadanoff-baym Equations For Leptonsmentioning

confidence: 71%

“…6, summed over internal degrees of freedom, for the decays into leptons and antileptons, respectively. The two effective amplitudes (67) can be replaced by the total decay amplitude and the CP-violating parameter. Using Eq.…”

Section: A Decay At Tree-level Approximationmentioning

confidence: 99%

Systematic approach to thermal leptogenesis

et al. 2013

Self Cite

View full text Add to dashboard Cite

show abstract

“…We draw attention to the fact that the Wigner transform of the spectral (Pauli-Jordan) function G ρ (p, X) differs from the object G(p, X) appearing in ref. [103] by an overall factor of i. It is for this reason that we have chosen to identify the Wigner representation only by the form of the arguments.…”

Section: Jhep06(2016)066mentioning

confidence: 99%

Lepton asymmetry from mixing and oscillations

Kartavtsev

Millington

Vogel

2016

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We show how the two physically-distinct sources of CP -asymmetry relevant to scenarios of leptogenesis: (i) resonant mixing and (ii) oscillations between different flavours can be unambiguously identified within the Kadanoff-Baym formalism. These contributions are isolated by analyzing the spectral structure of the non-equilibrium propagators without relying on the definition of particle number densities. The mixing source is associated with the usual mass shells, whereas the oscillation source is identified with a third intermediate shell. In addition, we identify terms lying on the oscillation shell that can be interpreted as the destructive interference between mixing and oscillation. We confirm that identical shell structure is obtained in both the Heisenberg-and interaction-picture realizations of the Kadanoff-Baym formalism. In so doing, we illustrate the self-consistency and complementarity of these two approaches. The interaction-picture approach in particular has the advantage that it may be used to analyze all forms of mass spectra from quasi-degenerate through to hierarchical.

show abstract

“…• The number density of φ particles obeys an equation similar to that of condensation (See [48,49] for instance).…”

Section: Jcap06(2014)013mentioning

confidence: 99%

Curvaton dynamics revisited

Mukaida

Nakayama

Takimoto

2014

J. Cosmol. Astropart. Phys.

View full text Add to dashboard Cite

Abstract. We revisit the dynamics of the curvaton in detail taking account of effects from thermal environment, effective potential and decay/dissipation rate for general field values and couplings. We also consider the curvature perturbation generated through combinations of various effects: large scale modulation of the oscillation epoch, the effective dissipation rate and the timing at which the equation of state changes. In particular, we find that it tends to be difficult to explain the observed curvature perturbation by the curvaton mechanism without producing too large non-Gaussianity if the curvaton energy density is dissipated through thermal effects. In particular, we find that if the renormalizable coupling between the curvaton and light elements is larger than the critical value ∼ (m φ /M pl ) 1/2 , the curvaton is soon dissipated away almost regardless of its initial energy density, contrary to the standard perturbative decay. Therefore, the interaction between them should be suppressed in order for the curvaton to survive the thermal dissipation.

show abstract

Deriving Boltzmann equations from Kadanoff-Baym equations in curved space-time

Cited by 33 publications

References 49 publications

Systematic approach to thermal leptogenesis

Systematic approach to thermal leptogenesis

Lepton asymmetry from mixing and oscillations

Curvaton dynamics revisited

Contact Info

Product

Resources

About