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SOME C*-ALGEBRAS ASSOCIATED TO QUANTUM GAUGE THEORIES

Part of: Categories with structure Selfadjoint operator algebras Quantum field theory; related classical field theories

Published online by Cambridge University Press:  18 May 2011

KEITH C. HANNABUSS
KEITH C. HANNABUSS*
Affiliation:
Balliol College, Oxford OX1 3BJ, England (email: kch@balliol.ox.ac.uk)
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Abstract

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Algebras associated with quantum electrodynamics and other gauge theories share some mathematical features with T-duality. Exploiting this different perspective and some category theory, the full algebra of fermions and bosons can be regarded as a braided Clifford algebra over a braided commutative boson algebra, sharing much of the structure of ordinary Clifford algebras.

Keywords

quantum electrodynamicsgauge theoriesnoncommutative geometryRieffel inducingmonoidal dagger categoriesbar categoriesbraiding

MSC classification

Secondary: 81T13: Yang-Mills and other gauge theories 46L08: $C^*$-modules 18D10: Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 90 , Issue 1 , February 2011 , pp. 9 - 24
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

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