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Semiclassical Approximation in Chern—Simons Gauge Theory

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Geometric Analysis and Applications to Quantum Field Theory

Part of the book series: Progress in Mathematics ((PM,volume 205))

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Abstract

The semiclassical approximation for the partition function in Chern—Simons gauge theory is derived using the invariant integration method. Volume and scale factors which were undetermined and had to be fixed by hand in previous derivations are automatically taken account of in this framework. Agreement with Witten’s exact expressions for the partition function in the weak coupling (large k) limit is verified for gauge group SU(2) and spacetimes S3, S2 x Si, Si x Si x S1 and L(p, q).

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Author information

Authors and Affiliations

  1. School of Mathematics, Trinity College, Dublin 2, Ireland

    David H. Adams

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  1. David H. Adams
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Editors and Affiliations

  1. Department of Physics and Mathematical Physics, Adelaide, SA, 5005, Australia

    Peter Bouwknegt

  2. Department of Pure Mathematics, University of Adelaide, Adelaide, SA, 5005, Australia

    Peter Bouwknegt  & Siye Wu  & 

  3. Department of Mathematics, University of Colorado, Boulder, CO, 80309-0395, USA

    Siye Wu

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© 2002 Springer Science+Business Media New York

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Adams, D.H. (2002). Semiclassical Approximation in Chern—Simons Gauge Theory. In: Bouwknegt, P., Wu, S. (eds) Geometric Analysis and Applications to Quantum Field Theory. Progress in Mathematics, vol 205. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0067-3_1

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  • DOI: https://doi.org/10.1007/978-1-4612-0067-3_1

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6597-9

  • Online ISBN: 978-1-4612-0067-3

  • eBook Packages: Springer Book Archive

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