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arXiv 1005.4829hep-thhep-lat
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有效弦论中的弦动量

On string momentum in effective string theories

N. D. Hari Dass

摘要:

弦的质心动量是计算弦论谱的一个重要组成部分。它是由两类保形不变的有效弦论的波尔钦斯基-斯特罗明格型的诺瑟处方计算的。一个是所谓的Polyakov-Liouville理论\cite{liouville},另一个是原来的Polchinski-Strominger作用量的扩展,分析到$R^{-3}$阶,其中$2πR$是弦的长度。在第一种情况下进行分析以订购$R^{-2}$,在第二种情况下进行分析以订购$R^{-3}$。在这两种情况下的自由玻色子理论结果的修正被证明是{ \em改进}型的,使总弦动量的修正,通过积分的弦世界片的空间坐标,消失。

英文摘要:

Centre of mass momentum for strings is an important ingredient in the calculation of the spectrum of string theories. It is calculated by the Nöther prescription for two types of conformally invariant effective string theories of the Polchinski-Strominger type. One is the so called Polyakov-Liouville theory \cite{liouville} and the other an extension of the original Polchinski-Strominger action analysed upto order $R^{-3}$ where $2πR$ is the length of the string. In the first case analysis is carried out to order $R^{-2}$ and in the second case to order $R^{-3}$. In both cases the correction to the free bosonic theory result is shown to be of the {\em improvement} type so that the correction to the total string momentum, obtained by integrating over the spatial coordinate of the string world sheet, vanishes.

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