Quantum KZ Equations

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High Quality Content by WIKIPEDIA articles! In mathematical physics, the quantum KZ equations or quantum Knizhnik Zamolodchikov equations or qKZ equations are the analogue for quantum affine algebras of the Knizhnik Zamolodchikov equations for affine Kac Moody algebras. They are a consistent system of difference equations satisfied by the N-point functions, the vacuum expectations of products of primary fields. In the limit as the deformation parameter q approaches 1, the N-point functions of the quantum affine algebra tend to those of the affine Kac Moody algebra and the difference equations become partial differential equations. In other words, the classical limit of the quantum KZ equations yield the trigonometric form of the classical KZ equations. That is, in the limit as q approaches 1, the quantum affine algebra Uq(g) tends to the universal enveloping algebra U(g) and the correlation functions for the quantum case converges to the classical correlation functions.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130342180
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Sprache Englisch
    • Größe H220mm x B150mm x T6mm
    • Jahr 2010
    • EAN 9786130342180
    • Format Fachbuch
    • ISBN 978-613-0-34218-0
    • Titel Quantum KZ Equations
    • Untertitel Mathematical Physics, Knizhnik-Zamolodchikov Equations, Kac-Moody Algebra, Recurrence Relation, Quantum Affine Algebra, Correlation Function (Quantum Field Theory)
    • Gewicht 161g
    • Herausgeber VDM Verlag Dr. Müller e.K.
    • Anzahl Seiten 96
    • Genre Mathematik

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