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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/77111


    Title: Thermodynamics of Scalar Field in Schwarzschild Black Holes
    Authors: 李柏樂;Lee, Po-Le
    Contributors: 物理學系
    Keywords: 純量場;彎曲時空;配分函數;熱力學;交互作用;scalar field;curved spacetime;partition function;Thermodynamical;back-reaction
    Date: 2018-07-30
    Issue Date: 2018-08-31 13:57:31 (UTC+8)
    Publisher: 國立中央大學
    Abstract: 我們討論了純量場在彎曲時空下的熱力學行為,而在計算配分函數原先使用路徑積分的方法只能給出平空間下的配分函數,在彎曲時空下的配分函數使用路經積分 的方法會發散,所以我們參考了 t’Hooft 的作法,也就是藉由數系統可以有多少個態,我們也可以看到在這個方法下計算平空間的配分函數與路徑積分的做法是相同的結果,而我們也得到了在史瓦西時空下的純量場配分函數,而再由配分函數我們 得到了其他熱力學量,自由能, 內能, 熵, 能量漲落。而後我們想嘗試得到當純量場 與時空是有交互作用下的行為,而我們也是採用 t’Hooft 的作法計算共型場論與時空交互作用最後發現到場的所有的熱力學量只是稍微比沒有交互作用的時空還要大。;We study the thermodynamical behavior of scalar field in the curved spacetimes backgroundoftheSchwarzschildblackhole. Thedirectcalculationofthepathintegral will lead a divergent result. So we following the approach proposed by t’ Hooft to compute the partition function. In addition, we also calculate the energy fluctuation. For taking into account the back-reaction, we consider a conformal scalar field in whichwecangettheleadingorderapproximationoftheback-reactiontospacetimes. By using the t’ Hooft method we calculate the partition function of this conformal scalar field.
    Appears in Collections:[物理研究所] 博碩士論文

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