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Modular Groups in Quantum Field Theory

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Book cover Quantum Field Theory

Part of the book series: Lecture Notes in Physics ((LNP,volume 558))

Abstract

Quantum Field theory appears in several different settings:

It is believed that these different branches of quantum field theory describe essentially the same physics. But there is only very little known about the rigorous equivalence of the above-mentioned theories. Wolfhart Zimmermann and myself [4] were the first to look at the passage from Wightman’s theory to the theory of local observables. We found only sufficient conditions. Meanwhile, there exists a large number of them, but necessary and sufficient conditions are still missing. The situation is not better for the reverse direction or the other equivalence problems.

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Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Göttingen, Bunsenstraße 9, D-37073, Göttingen, Germany

    Hans-Jürgen Borchers

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  1. Hans-Jürgen Borchers
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Editors and Affiliations

  1. Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, Föhringer Ring 6, 80805, München, Germany

    Peter Breitenlohner  & Dieter Maison  & 

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© 2000 Springer-Verlag Berlin Heidelberg

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Borchers, HJ. (2000). Modular Groups in Quantum Field Theory. In: Breitenlohner, P., Maison, D. (eds) Quantum Field Theory. Lecture Notes in Physics, vol 558. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44482-3_3

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  • DOI: https://doi.org/10.1007/3-540-44482-3_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67972-1

  • Online ISBN: 978-3-540-44482-4

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