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Algebraic Aspects of Non-Perturbative Quantum Field Theories

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Differential Geometrical Methods in Theoretical Physics

Part of the book series: NATO ASI Series ((ASIC,volume 250))

Abstract

We review recent progress in quantum field theory which originat es from a careful analysis of causality. In conformal invari — ant theories the “exchange algebra” is directly related to the dimensional spectrum. Arguments are given that this new algebraic structure transcends conformal invariance and constitutes a genuine non-perturbative non-commutative algebraic aspect of quantized fields.

Based on a lecture delivered at the “Centro Volta”, Como, Sept. 1987

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Author information

Authors and Affiliations

  1. Institut für Theorie der Elementarteilchen, FU Berlin, Arnimallee 14, D-1000, Berlin (West) 33, Germany

    Bert Schroer

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  1. Bert Schroer
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Editor information

Editors and Affiliations

  1. Institute for Theoretical Nuclear Physics, University of Bonn, Bonn, Germany

    K. Bleuler  & M. Werner  & 

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Schroer, B. (1988). Algebraic Aspects of Non-Perturbative Quantum Field Theories. In: Bleuler, K., Werner, M. (eds) Differential Geometrical Methods in Theoretical Physics. NATO ASI Series, vol 250. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7809-7_13

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  • DOI: https://doi.org/10.1007/978-94-015-7809-7_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-8459-0

  • Online ISBN: 978-94-015-7809-7

  • eBook Packages: Springer Book Archive

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