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arXiv 1104.4446hep-th
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开玻色弦论光锥形式中Angular Momentum交换子的注记

A Note on Angular Momentum Commutators in Light-Cone Formulation of Open Bosonic String Theory

Klaus Bering

摘要:

我们以一种系统和教学的方式重新计算了玻色开弦论在光锥表述中的一个最重要的结果,即[J^{-i},J^{-j}]折射率,它与洛伦兹协方差一起产生了著名的临界维数D=26和正常序常数a=1。我们使用传统的横向振荡器模式展开(避免优雅但更先进的语言算子乘积展开)。我们通过引入一个新的簿记/正则化参数κ来简化证明,以避免分裂为创建和湮灭部分,并避免bras和ket之间的重叠。

英文摘要:

We recalculate in a systematic and pedagogical way one of the most important results of Bosonic open string theory in the light-cone formulation, namely the [J^{-i},J^{-j}] commutators, which together with Lorentz covariance, famously yield the critical dimension D=26 and the normal order constant a=1. We use traditional transverse oscillator mode expansions (avoiding the elegant but more advanced language of operator product expansions). We streamline the proof by introducing a novel bookkeeping/regularization parameter κto avoid splitting into creation and annihilation parts, and to avoid sandwiching between bras and kets.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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