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

• Autoři: BERING LARSEN Klaus
• Rok publikování: 2012
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Acta Physica Polonica B
• Fakulta / Pracoviště MU: Přírodovědecká fakulta

www

• http://arxiv.org/abs/1104.4446
• http://dx.doi.org/10.5506/APhysPolB.43.1811
• http://www.actaphys.uj.edu.pl/vol43/abs/v43p1811.htm

• Doi: http://dx.doi.org/10.5506/APhysPolB.43.1811
• Obor: Teoretická fyzika
• Klíčová slova: Light-Cone Formulation; Bosonic Open String Theory.
• Popis: We recalculate in a systematic and pedagogical way one of the most important results in the light-cone formulation of Bosonic open string theory, 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 kappa to avoid splitting into creation and annihilation parts, and to avoid sandwiching between bras and kets.

Související projekty

• Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku