擬似弦論之高階微分粒子理論

Higher Derivative Particle Theory as String Theory

李澤愷(Tze-Kei Lee)

指導教授 ： 陳俊瑋

國立臺灣大學/理學院/物理研究所/碩士(2007年)

https://doi.org/10.6342/NTU.2007.00639

摘要

我們研究帶有局域性相等於二維保角群對稱群的拉格朗日並發現許多類這樣的理論。我們提出可以從這些理論裡面找到新的自洽背景。為了展示這樣的可能性，我們秀出兩個拉格朗日對應到開弦與閉弦。

關鍵字

弦論 ； 高階微分

並列摘要

We study higher derivative theory with Lagrangian admitting symmetry group which is locally equivalent to conformal group in two dimensions and find there exists a tower of classes of such theory. We propose that new consistent background of string theory could be found in those classes. To demostrate such possiblity, we show that there are Lagrangian corresponding to open and closed string.

並列關鍵字

string theory ； higher derivative

參考文獻

[1] M. Kato, “Particle Theories With Minimum Observable Length And Open String Theory,” Phys. Lett. B 245, 43 (1990).

[2] P. M. Ho, “Virasoro algebra for particles with higher derivative interactions,”Phys. Lett. B 558, 238 (2003) [arXiv:hep-th/0208182].

[3] M. B. Green,J. H. Schwarz and E. Witten, “Superstring Theory,” (Cambridge Univ. Press, Cambridge, U.K.), Vols. I