A Note on Angular Momentum Commutators in Light-Cone Formulation of Open Bosonic String Theory
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Rok publikování | 2012 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Acta Physica Polonica B |
Fakulta / Pracoviště MU | |
Citace | BERING LARSEN, Klaus. A Note on Angular Momentum Commutators in Light-Cone Formulation of Open Bosonic String Theory. Acta Physica Polonica B. Krakow, Polsko: Jagiellonian University, 2012, roč. 43, č. 9, s. 1811-1824. ISSN 0587-4254. Dostupné z: https://dx.doi.org/10.5506/APhysPolB.43.1811. |
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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. |
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