The Exact WKB analysis for asymmetric scalar preheating. (arXiv:2203.04497v2 [hep-th] UPDATED)
<a href="http://arxiv.org/find/hep-th/1/au:+Enomoto_S/0/1/0/all/0/1">Seishi Enomoto</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Matsuda_T/0/1/0/all/0/1">Tomohiro Matsuda</a>
Using the exact WKB analysis of the higher-order differential equation, we
analyze the mechanism of asymmetric preheating of a complex scalar field. The
solution requires the Stokes phenomena of the fourth-order differential
equation. We have identified two types of the Stokes phenomena, which are
crucial for the matter-antimatter asymmetry. The new Stokes lines and the
virtual turning points, which are developed to analyze the Stokes phenomena of
the higher-order differential equations, are crucial for the global consistency
of the scenario. For a simple scenario, we show the required Stokes phenomena
appear in order but the new Stokes lines do not cause new effects.
Using the exact WKB analysis of the higher-order differential equation, we
analyze the mechanism of asymmetric preheating of a complex scalar field. The
solution requires the Stokes phenomena of the fourth-order differential
equation. We have identified two types of the Stokes phenomena, which are
crucial for the matter-antimatter asymmetry. The new Stokes lines and the
virtual turning points, which are developed to analyze the Stokes phenomena of
the higher-order differential equations, are crucial for the global consistency
of the scenario. For a simple scenario, we show the required Stokes phenomena
appear in order but the new Stokes lines do not cause new effects.
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