Coherent Baryogenesis

Garbrecht, Björn; Prokopec, Tomislav; Schmidt, Michael G.

doi:10.1103/physrevlett.92.061303

Cited by 26 publications

(35 citation statements)

References 24 publications

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“…fields whose mass-eigenstates do not coincide with interaction eigenstates. This certainly is the case for neutrino oscillations in the early universe [7], electroweak baryogenesis (EWBG) [8][9][10][11][12][13][14][15], models for spontaneous (or coherent) baryogenesis [6,16], and for variants of leptogenesis [17][18][19][20]. In this paper we extend our formalism to the case of flavour mixing.…”

Section: Introductionmentioning

confidence: 99%

“…Next, we notice that the most general spatially homogeneous and isotropic 2-point function S < d (k, t) can be parametrized in terms of helicity projectors: 16) where g hα (k, t) are hermitian N × N matrices in flavour indices. This is a convenient parametrization for the problem, because the helicity operator commutes with the Hamiltonian H (and with the transformation matrix Y ), implying that helicity is conserved in a collisionless theory.…”

Section: Phase-space Shell Structurementioning

confidence: 99%

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Flavoured quantum Boltzmann equations from cQPA

Fidler

Herranen

Kainulainen

et al. 2012

J. High Energ. Phys.

126

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We develop a Boltzmann-type quantum transport theory for interacting fermion and scalar fields including both flavour and particle-antiparticle mixing. Our formalism is based on the coherent quasiparticle approximation (cQPA) for the 2-point correlation functions, whose extended phase-space structure contains new spectral shells for flavour-and particle-antiparticle coherence. We derive explicit cQPA propagators and Feynman rules for the transport theory. In particular the nontrivial Wightman functions can be written as composite operators ∼ AF A, which generalize the usual Kadanoff-Baym ansatz. Our numerical results show that particle-antiparticle coherence can strongly influence CP-violating flavour mixing even for relatively slowly-varying backgrounds. Thus, unlike recently suggested, these correlations cannot be neglected when studying asymmetry generation due to time-varying mass transition, for example in electroweak-type baryogenesis models. Finally, we show that the cQPA coherence solutions are directly related to squeezed states in the more familiar operator formalism.

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Section: Introductionmentioning

confidence: 99%

Section: Phase-space Shell Structurementioning

confidence: 99%

Flavoured quantum Boltzmann equations from cQPA

Fidler

Herranen

Kainulainen

et al. 2012

J. High Energ. Phys.

126

View full text Add to dashboard Cite

show abstract

“…In different physical contexts, earlier works [37][38][39][40][41] have approached the problem by utilizing the method of Bogoliubov transformations to derive equations of motion for particle-number operators in vacuum. In the present study, we follow a more kinetic theory-oriented approach, as we seek to determine the impact of plasma interactions on the evolution of the system (damping of flavor oscillations, equilibration).…”

Section: Introductionmentioning

confidence: 99%

Flavored quantum Boltzmann equations

et al. 2010

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We derive from first principles, using nonequilibrium field theory, the quantum Boltzmann equations that describe the dynamics of flavor oscillations, collisions, and a time-dependent mass matrix in the early universe. Working to leading nontrivial order in ratios of relevant time scales, we study in detail a toy model for weak-scale baryogenesis: two scalar species that mix through a slowly varying time-dependent and CP-violating mass matrix, and interact with a thermal bath. This model clearly illustrates how the CP asymmetry arises through coherent flavor oscillations in a nontrivial background. We solve the Boltzmann equations numerically for the density matrices, investigating the impact of collisions in various regimes.

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“…11 we show the evolution of the |k|-dependent excess total particle number density (n k +n k ) − (n k eq +n k eq ), where n k = h n kh (similarly forn), and n kh andn kh were defined through the Feynman-Stückelberg interpretation in Eq. (17). In the right panel of Fig.…”

Section: Applicationsmentioning

confidence: 95%

Coherent quantum Boltzmann equations from cQPA

Herranen

Kainulainen

Rahkila

2010

J. High Energ. Phys.

103

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We reformulate and extend our recently introduced quantum kinetic theory for interacting fermion and scalar fields. Our formalism is based on the coherent quasiparticle approximation (cQPA) where nonlocal coherence information is encoded in new spectral solutions at off-shell momenta. We derive explicit forms for the cQPA propagators in the homogeneous background and show that the collision integrals involving the new coherence propagators need to be resummed to all orders in gradient expansion. We perform this resummation and derive generalized momentum space Feynman rules including coherent propagators and modified vertex rules for a Yukawa interaction. As a result we are able to set up self-consistent quantum Boltzmann equations for both fermion and scalar fields. We present several examples of diagrammatic calculations and numerical applications including a simple toy model for coherent baryogenesis.

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Coherent Baryogenesis

Cited by 26 publications

References 24 publications

Flavoured quantum Boltzmann equations from cQPA

Flavoured quantum Boltzmann equations from cQPA

Flavored quantum Boltzmann equations

Coherent quantum Boltzmann equations from cQPA

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