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The Presentation of the Algebra of Observables of the Closed Bosonic String in 1+3 Dimensions: Calculation up to Order \hbar^7

G. Handrich·C. Paufler·J. B. Tausk·M. Walter
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Abstract

We proceed with the investigation of a method of quantization of the observable sector of closed bosonic strings. For the presentation of the quantum algebra of observables the construction cycle concerning elements of order \hbar^6 has been carried out. We have computed the quantum corrections to the only generating relation of order \hbar^6. This relation is of spin-parity J^P=0^+. We found that the quantum corrections to this relation break the semidirect splitting of the classical algebra into an abelian, infinitely generated subalgebra a and a non-abelian, finitely generated subalgebra U. We have established that there are no ("truly independent") generating relations of order \hbar^7.

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G. Handrich, C. Paufler, J. B. Tausk, M. Walter. 2005-11-09. The Presentation of the Algebra of Observables of the Closed Bosonic String in 1+3 Dimensions: Calculation up to Order \hbar^7. https://doi.org/10.1142/s021773230200943x

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