A Note on Angular Momentum Commutators in Light-Cone Formulation of Open Bosonic String Theory
| Authors | |
|---|---|
| Year of publication | 2012 |
| Type | Article in Periodical |
| Magazine / Source | Acta Physica Polonica B |
| MU Faculty or unit | |
| Citation | |
| Web | |
| Doi | http://dx.doi.org/10.5506/APhysPolB.43.1811 |
| Field | Theoretical physics |
| Keywords | Light-Cone Formulation; Bosonic Open String Theory. |
| Description | 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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