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タイトル: | Study of entropy production in Yang-Mills theory with use of Husimi function |
著者: | Tsukiji, Hidekazu Iida, Hideaki Kunihiro, Teiji Ohnishi, Akira Takahashi, Toru |
著者名の別形: | 築地, 秀和 飯田, 英明 国広, 悌二 大西, 明 高橋, 徹 |
発行日: | 15-Jul-2016 |
出版者: | Sissa Medialab |
誌名: | Proceedings of Science |
巻: | 251 |
論文番号: | 184 |
抄録: | Understanding the thermalization process in a pure quantum system is a challenge in theoretical physics. In this work, we explore possible thermalization mechanism in Yang-Mills(YM) theory by using a positive semi-definite quantum distribution function called a Husimi function which is given by a coarse graining of the Wigner function within the minimum uncertainty. Then entropy is defined in terms of the Husimi function, which is called the Husimi-Wehrl(HW) entropy. We propose two numerical methods to calculate the HW entropy. We find that it is feasible to apply the semi-classical approximation with the use of classical YM equation. It should be noted that the semi-classical approximation is valid in the systems of physical interest including the early stage of heavy-ion collisions. Using a product ansatz for the Husimi function, which is confirmed to reproduce the HW entropy within 20% error (overestimate) for a few-body quantum system, we succeed in a numerical evaluation of HW entropy of YM fields and show that it surely has a finite value and increases in time. |
記述: | The 33rd International Symposium on Lattice Field Theory, 14 -18 July 2015, Kobe International Conference Center, Kobe, Japan - Nonzero Temperature and Density (talks). |
著作権等: | Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. |
URI: | http://hdl.handle.net/2433/233619 |
DOI(出版社版): | 10.22323/1.251.0184 |
出現コレクション: | 学術雑誌掲載論文等 |
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