P705
886-2-2789-6783
hlyu [at] gate.sinica.edu.tw
P705
886-2-2789-6783
hlyu [at] gate.sinica.edu.tw
沈彩雲 / 886-2-2789-8386
(1) | 國內學術研究獎項 | 2016 | 「第八屆吳大猷科學普及著作獎」銀籤獎 |
(1) | 西元年:2013 研究人員(中):余海禮 研究人員(英):YU, HOI-LAI, Chopin Soo 研究成果名稱(中):演化的內藴時間,LY方程 研究成果名稱(英):Intrinsic time gravity and the Lichnerowicz-York equation 簡要記述(中):我們提出從共軛的動量 及度規 中分離岀一個可作為一切演化的內藴 (intrinsic) 時間及其共軛能量後,GR只雖要動量約束,便能把動力參數約化到只剩2個自由度,剛好是重力的自由度數目。這樣一來GR原本的哈密頓密度可寫成 . 量子重力便可得岀 Schrodinger方程,這是百年來研究者首次能推導一次時間微分的量子重力方程。我們的量子化方案一方面改變了研究者對GR的了解,一方面提出一具體可行的量子重力方案,進一步推廣GR加入一致的可重整化6維算子。 簡要記述(英):We investigate the the effect on the Hamiltonian structure of general relativity of choosing an intrinsic time to fix the time slicing. 3-covariance with momentum constraint is maintained, but the Hamiltonian constraint is replaced by a dynamical equation for the trace of the momentum. This reveals a very simple structure with a local reduced Hamiltonian. The theory is easily generalised; in particular, the square of the Cotton-York tensor density can be added as an extra part of the potential while at the same time maintaining the classic 2 + 2 degrees of freedom. Initial data construction is simple in the extended intrinsic time formulation; we get a generalised Lichnerowicz- York equation with nice existence and uniqueness properties. Adding standard matter fields is quite straightforward.
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