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[[UTAPwiki/セミナー/初期宇宙・相対論速報]] * Time complexification for particle production [#kc44f614] ** Soichiro Hashiba [#a2b94df4] Abstract: Particle production, such as Hawking radiation, Schwinger effect and gravitational particle production, occurs in real time, however, we have to consider complex time in these phenomena for a proper estimation. That is because zeros of an effective frequency of a particle, which usually are located in complex time plane, plays a crucial role. Classically, a transition from a vacuum state to an excited state is prohibited anywhere but at these zeros, and in quantum field theory, a path integral picks up an effect of the zeros in complex time and particle production is realized. I will introduce several calculation methods of using time complexification for particle production. This talk will be mainly based on these papers: Picard-Lefschetz theory - 1403.1277, 1510.03435 and 1907.12224 Stokes phenomenon - 1004.2509, 1405.0302 Picard-Lefschetz theory - 1403.1277, 1510.03435, 1907.12224 Stokes phenomenon - 0911.4692, 1001.2933, 1004.2509, 1405.0302 &ref(seminar_note_Hashiba0407.pdf); &ref(添付ファイル名); |