Flavored quantum Boltzmann equations

Cirigliano, Vincenzo; Lee, Christopher; Ramsey-Musolf, Michael J.; Tulin, Sean

doi:10.1103/physrevd.81.103503

Cited by 79 publications

(114 citation statements)

References 67 publications

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“…Surprisingly, and in contrast with the claim in ref. [14], we find that neglecting the particle-antiparticle correlations is not warranted despite the rapid oscillation frequency ∼ 2ω in this sector, even in the regime of relatively slowly varying mass-profile. We show explicitly that particle-antiparticle mixing leads to a significant contribution to the large momentum modes of the flavour off-diagonal correlator.…”

Section: Introductionmentioning

confidence: 97%

“…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%

“…(3.1-3.2)). The resulting equations of motions for the moments are given by 14) where C (H,A)d ≡ U C H,A U † , and we have suppressed the flavour indices, for which the multiplication rule is elementwise as in Eq. (5.12).…”

Section: Equations Of Motionmentioning

confidence: 99%

“…[14]. However, in this work the rapidly oscillating k0 = ±∆ω coherence-solutions were subsequently neglected in the derivation of the transport equations.…”

Section: Scalar Fieldsmentioning

confidence: 99%

“…A similar mixing-scenario for scalar fields was recently considered in ref. [14], where the particle-antiparticle mixing solutions were neglected in the qBE's and the resummation procedure of the collision terms was not carried out. Surprisingly, and in contrast with the claim in ref.…”

Section: Introductionmentioning

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: 97%

Section: Introductionmentioning

confidence: 99%

Section: Equations Of Motionmentioning

confidence: 99%

“…[14]. However, in this work the rapidly oscillating k0 = ±∆ω coherence-solutions were subsequently neglected in the derivation of the transport equations.…”

Section: Scalar Fieldsmentioning

confidence: 99%

Section: Introductionmentioning

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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Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics

Millington

2014

Springer Theses

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Act  (as amended) and regulations issued under it or, where appropriate, in accordance with licensing agreements which the University has from time to time. This page must form part of any such copies made.iii. The ownership of certain Copyright, patents, designs, trade marks and other intellectual property (the "Intellectual Property") and any reproductions of copyright works in the thesis, for example graphs and tables ("Reproductions"), which may be described in this thesis, may not be owned by the author and may be owned by third parties. Such Intellectual Property and Reproductions cannot and must not be made available for use without the prior written permission of the owner(s) of the relevant Intellectual Property and/or Reproductions. iv. Further information on the conditions under which disclosure, publication and commercialisation of this thesis, the Copyright and any Intellectual Property and/or Reproductions described in it may take place is available in the University IP Policy (see http://www.campus.manchester.ac.uk/medialibrary/ policies/intellectual-property.pdf), in any relevant Thesis restriction PrefacePeter graduated master of physics first class with honours in .Turning down the offer of undertaking a research degree with Manchester's Condensed Matter Group, Peter chose to continue his post-graduate studies under the supervision of Prof. Apostolos Pilaftsis. The project that they were set to tackle would turn out to touch base with each of Peter's seemingly-fickle interests: astrophysics, cosmology, thermodynamics, condensed matter physics and theoretical particle physics. This project was the application of thermal quantum field theory to the evolution of systems out of thermodynamic equilibrium.

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Introduction

Millington

2013

Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics

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Flavored quantum Boltzmann equations

Cited by 79 publications

References 67 publications

Flavoured quantum Boltzmann equations from cQPA

Flavoured quantum Boltzmann equations from cQPA

Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics

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