The presentation of the quantum algebra of observables of the closed bosonic string in 1+3 dimensions: The exact quantized generating relations of orders n-bar**6 and n-bar**7

Handrich, G.; Paufler, C.; Tausk, J.B.; Walter, M.

doi:10.1142/S021773230200943X

The presentation of the quantum algebra of observables of the closed bosonic string in 1+3 dimensions: The exact quantized generating relations of orders n-bar6 and n-bar7

2002

5 pages

Published in:

Mod.Phys.Lett.A 17 (2002) 2611-2615

DOI:

10.1142/S021773230200943X

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Abstract: (WSP)

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 ℏ6 has been carried out. We have computed the quantum corrections to the only generating relation of order ℏ6. This relation is of spin-parity JP = 0+. We found that the quantum corrections to this relation break the semidirect splitting of the classical algebra into an Abelian, infinitely generated subalgebra

{\mathfrak a}

and a non-Abelian, finitely generated subalgebra

{\mathfrak U}

. We have established that there are no ("truly independent") generating relations of order ℏ7.

string: closed
string model: boson
quantum algebra
quantization: correction

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