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MP: Theoretische und Mathematische Grundlagen der Physik

MP 2: Quantenfeldtheorie und Strings

MP 2.2: Fachvortrag

Monday, March 24, 2003, 17:00–17:30, F309

The Presentation of the Quantum Algebra of Observables of the Closed Bosonic String in 1+3 Dimensions: the Exact Quantized Generating Relations of Orders ℏ6 and ℏ7 — •Cornelius Paufler, G. Handrich, J. B. Tausk, and M. Walter — Physikalisches Institut, Albert-Ludwigs-Universität, Hermann-Herder-Straße 3, 79104 Freiburg

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 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 and a non-abelian, finitely generated subalgebra. We have established that there are no (“truly independent”) generating relations of order ℏ⁷.