52,078 research outputs found
Classical Wakimoto Realizations of Chiral WZNW Bloch Waves
It is well-known that the chiral WZNW Bloch waves satisfy a quadratic
classical exchange algebra which implies the affine Kac-Moody algebra for the
corresponding currents. We here obtain a direct derivation of the exchange
algebra by inverting the symplectic form on the space of Bloch waves, and give
a completely algorithmic construction of its generalized free field
realizations that extend the classical Wakimoto realizations of the current
algebra.Comment: 13 pages, LaTe
Computational Methods for the Construction of a Class of Noetherian Operators
This paper presents some algorithmic techniques to compute explicitly the
noetherian operators associated to a class of ideals and modules over a
polynomial ring. The procedures we include in this work can be easily encoded
in computer algebra packages such as CoCoA and Singular
Feynman-diagram evaluation in the electroweak theory with computer algebra
The evaluation of quantum corrections in the theory of the electroweak and
strong interactions via higher-order Feynman diagrams requires complicated and
laborious calculations, which however can be structured in a strictly
algorithmic way. These calculations are ideally suited for the application of
computer algebra systems, and computer algebra has proven to be a very valuable
tool in this field already over several decades. It is sketched how computer
algebra is presently applied in evaluating the predictions of the electroweak
theory with high precision, and some recent results obtained in this way are
summarized.Comment: 7 pages, updated version of proceedings contribution to ACAT 2000,
Fermilab, October 200
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