Abstract
Generation of the cosmological baryon asymmetry in frameworks of spontaneous baryogenesis is studied in detail. It is shown that the relation between baryonic chemical potential and the time derivative of the (pseudo)Goldstone field essentially depends upon the representation chosen for the fermionic fields with non-zero baryonic number (quarks). Kinetic equation is modified and numerically solved in equilibrium for the case of time dependent external background or finite integration time to be applicable to the case when energy conservation law is formally violated.
Highlights
One of the popular scenarios of baryogenesis is the spontaneous baryogenesis (SBG) proposed in papers [1,2,3], for reviews see e.g. Refs. [4, 5]
It is shown that the relation between baryonic chemical potential and the time derivative of theGoldstone field essentially depends upon the representation chosen for the fermionic fields with non-zero baryonic number
We argue that in the standard description θis not formally the chemical potential, though in thermal equilibrium μB tends to θwith numerical, model dependent, coefficient
Summary
One of the popular scenarios of baryogenesis is the spontaneous baryogenesis (SBG) proposed in papers [1,2,3], for reviews see e.g. Refs. [4, 5]. For the spatially homogeneous field θ = θ(t) this Hamiltonian is reduced to HS B = −θnB, where nB ≡ JB4 is the baryonic number density, so it is tempting to identify θwith the chemical potential, μ, of the corresponding system If this is the case, in thermal equilibrium the baryon asymmetry would evolve to: nB. It is interesting that for successful SBG two of the three Sakharov’s conditions for the generation of the cosmological baryon asymmetry, namely, breaking of thermal equilibrium and a violation of C and CP symmetries are unnecessary This scenario is analogous the baryogenesis in absence of CPT invariance, if the masses of particles and antiparticles are different.
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