TRANSPORT EQUATIONS FOR CHIRAL FERMIONS TO ORDER ħ AND ELECTROWEAK BARYOGENESIS

By T. Prokopec, M. G. Schmidt, S. Weinstock. 2004

144 citations recorded by the source corpus.

Abstract This is the second in a series of two papers. While in Paper I [Ann. Phys. 314 (2004) 208] we derive semiclassical Boltzmann transport equations and study their flow terms, here we make use of the results from that paper and address the collision terms. We use a model Lagrangean, in which fermions couple to scalars through Yukawa interactions and approximate the self-energies by the one-loop expressions. This approximation already contains important aspects of thermalization and scatterings required for quantitative studies of transport in plasmas. We compute the CP-violating contributions to both the scalar and the fermionic collision term. CP-violating sources appear at order ℏ in gradient and in a weak coupling expansion, as a consequence of a CP-violating split in the fermionic dispersion relation. This represents the first controlled calculation of CP-violating collisional sources, thus establishing the existence of `spontaneous' baryogenesis sources in the collision term. The calculation is performed by the use of the spin quasiparticle states established in Paper I. Next, we present the relevant leading order calculation of the relaxation rates for the spin states and relate them to the more standard relaxation rates for the helicity states. We also analyze the associated fluid equations, make a comparison between the source arising from the semiclassical force in the flow term and the collisional source, and observe that the semiclassical source tends to be more important in the limit of inefficient diffusion/transport.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/25e92e262dde2b9c44b22adc184f595991d5d1e5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. D. Bodeker
2. S. Huber
3. W. Buchmuller

In Nuclear and High Energy Physics

1. D. Bodeker
2. W. Buchmuller
3. M. Seniuch
4. L. Fromme
5. S. Huber
6. T. Konstandin
7. M. Drewes

Citations in the corpus

• Baryogenesis from the weak scale to the grand unification scale (2020, methodology): “Because of the chiral 12 The force was computed using the WKB approximation to the Dirac equation (Kainulainen et al., 2002; Fromme and Huber, 2007) and from quantum field theory using Kadanoff-Baym equations (Kainulainen et al., 2002; Prokopec et al., 2004).”
• Baryogenesis in the Two-Higgs Doublet Model (2006, background): “3) agree with the full Schwinger–Keldysh result [23].”