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Fields and Particles pp 53–87Cite as

Quantum Field Theory in Low Dimensional Space Time

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Abstract

Quantum field theory in 2 and 3 Space time dimensions has some structural peculiarities which are absent in 4 space time dimensions. Far from being unphysicai curiosities of toy models, these structures have turned out to be extremely interesting for applications to Condensed matter physics, and one might speculate that they will even have an impact on elementary particle physics by providing completely new ideas for model building. Perhaps the most exciting feature is the generalization of the concept of symmetry for which quantum groups seem to be a promising candidate (cf. the lectures of Professor Fadeev). The dual aspect of internal symmetry in quantum field theory is the structure of charge sectors. It is the aim of these lectures to review the present status of the theory of charge sectors in quantum field theory in low dimensional space time.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Freie Universität Berlin, Germany

    K. Fredenhagen

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  1. K. Fredenhagen
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Editors and Affiliations

  1. Institut für Theoretische Physik, Karl-Franzens-Universität, Universitätsplatz 5, A-8010, Graz, Austria

    Heinrich Mitter  & Wolfgang Schweiger  & 

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© 1990 Springer-Verlag Berlin, Heidelberg

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Fredenhagen, K. (1990). Quantum Field Theory in Low Dimensional Space Time. In: Mitter, H., Schweiger, W. (eds) Fields and Particles. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76090-7_3

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  • DOI: https://doi.org/10.1007/978-3-642-76090-7_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-76092-1

  • Online ISBN: 978-3-642-76090-7

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