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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/82235

    Title: 黑洞物理與全像對偶( I );Black Hole Physics and Holographic Duality( I )
    Authors: 陳江梅
    Contributors: 國立中央大學物理學系
    Keywords: 黑洞;全像原理;粒子對生成;超導;超流;重力能量;black hole;holographic principle;pair production;superconductor;superfluid;gravitational energy
    Date: 2020-01-13
    Issue Date: 2020-01-13 14:28:48 (UTC+8)
    Publisher: 科技部
    Abstract: 在過去幾十年中,我們在黑洞物理的研究已完成了一系列顯著的進展。特別是,通過全像原理的應用,我們能夠考慮近極端 (near extremal) 黑洞的共形場論(CFT)描述,在過去的幾年中,我們特別著重於帶電黑洞視界附近的粒子對生成機制,並已取得可觀的進展。我們考慮了包括標量和旋量場的粒子對生成,所完成的研究結果提供了對霍金輻射(Hawking radiation)和施溫格效應(Schwinger effect)的熱力學特性更深刻的理解。我們一直嘗試將研究目標推廣到非近極端的黑洞,在這個情況下,很難找到系統場方程的精確解,然而我們發現數學上 monodromy 的概念和性質,極有可能幫助我們處理在數學上面臨的困難。此外,我們也著手研習Heun微分方程式,預期此方程的一些數學特性,能提供處理和分析特定條件下非近極端黑洞的方法。 透過全像對偶,我們可以經由特定黑洞背景下的重力理論來分析研究其對偶的系統,例如凝聚態物理和超導體。在過去幾年裡,我們已經開發了數值計算程式能夠分析不均勻系統,包括不同維度的Josephson junction。基於這些已有的技術,我們將研究外加磁場導致渦流 (vortex) 的形成和其動力學行為等等有趣的課題。我們發表了超導中非線性響應的研究結果,也完成了在Josephson junction中對超導電流和溫度與連接寬度的關係,目前正在分析具有多連結的Josephson junction 的研究。利用全像超導的方法,我們也開始研究系統對於外在環境產生急劇變化的反應。 此外,我們對重力的準局域能量(守恆量)的研究已經取得了顯著的成果。我們進一步釐清了幾乎所有的膺張量在第一階結果的一致性,我們的研究成果獲得的了2018 Essay Competition of the Gravity Research Foundation 的Honorable Mention,發表的論文也獲選為Editor’s Choice。我們下一步的研究目標為建構出處理非漸進平坦時空下的重力能量的計算方法。 ;Black hole physics has accomplished a significant development in the past decades. In particular, by applying the holographic principle, one can study the dual conformal field theory (CFT) description for the near extremal black holes. In the past years, we have intensively studied the case of charged black holes, focusing on the mechanism of pair production near the horizon, and already made desirable progress. We generalized our investigation to consider the pair production, of both scalar and spinor fields. Our results provide a more deep understanding about the thermal properties for the Hawking radiation and Schwinger effect. Currently we are focusing to consider the Schwinger effects in non-extremal charged black holes. In such cases, it is almost impossible to obtain the exact solution to the field equations. However, we were aware the mathematical concept of monodromy and its properties may be able to help us to solve our problem. In addition, we also found that some mathematical properties of the Heun differential equation may can provide a possible way to analysis some special cases of non-extremal charged black holes. The other development spotlights the phenomenological applications to, for example condensed matter physics, and superconductor, via the corresponding gravitation setup. We have already developed our own numerical code to analysis the inhomogeneous systems. After publishing two papers on analyzing the nonlinear effects in holographic superconductor, we have finished the analysis on the temperature and junction length dependence of superconducting current in the Josephson junction. Based on the technique, we are going to study several interesting topics, in particular multi-link Josephson junction, vortices formation by magnetic field etc. We are also interested to study the response with respect to a dramatic change of the environment. Moreover, our research on the quasi-local energy (conserved quantities) for gravitation has achieved remarkable progress. We have checked the fact that most well-known pseudotensors for gravitational energy are actually giving the same result in the leading order. Our result received a Honorable Mention in the 2018 Essay Competition of the Gravity Research Foundation. Our published paper was selected as Editor’s Choice. A future plan is to generalize our results for the non-asymptotically flat space-times.
    Relation: 財團法人國家實驗研究院科技政策研究與資訊中心
    Appears in Collections:[物理學系] 研究計畫

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