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Advances in High Energy Physics
Volume 2019, Article ID 6825104, 28 pages
https://doi.org/10.1155/2019/6825104
Research Article

A New Mechanism for Generating Particle Number Asymmetry through Interactions

1Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan
2Core of Research for Energetic Universe, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan
3National Institute of Technology, Niihama College, Ehime, 792-8580, Japan
4Okayama University of Science, Ridaicho, Kita-ku, Okayama, 700-0005, Japan
5Tomsk State Pedagogical University, Tomsk, 634061, Russia

Correspondence should be addressed to Apriadi Salim Adam; pj.ca.u-amihsorih@madaidairpa

Received 27 December 2018; Accepted 19 February 2019; Published 7 April 2019

Guest Editor: Subhajit Saha

Copyright © 2019 Takuya Morozumi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

A new mechanism for generating particle number asymmetry (PNA) has been developed. This mechanism is realized with a Lagrangian including a complex scalar field and a neutral scalar field. The complex scalar carries charge which is associated with the PNA. It is written in terms of the condensation and Green’s function, which is obtained with two-particle irreducible (2PI) closed time path (CTP) effective action (EA). In the spatially flat universe with a time-dependent scale factor, the time evolution of the PNA is computed. We start with an initial condition where only the condensation of the neutral scalar is nonzero. The initial condition for the fields is specified by a density operator parameterized by the temperature of the universe. With the above initial conditions, the PNA vanishes at the initial time and later it is generated through the interaction between the complex scalar and the condensation of the neutral scalar. We investigate the case that both the interaction and the expansion rate of the universe are small and include their effects up to the first order of the perturbation. The expanding universe causes the effects of the dilution of the PNA, freezing interaction, and the redshift of the particle energy. As for the time dependence of the PNA, we found that PNA oscillates at the early time and it begins to dump at the later time. The period and the amplitude of the oscillation depend on the mass spectrum of the model, the temperature, and the expansion rate of the universe.