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Determinants of Elliptic Boundary Problems in Quantum Field Theory

  • Chapter
Noncommutative Differential Geometry and Its Applications to Physics

Part of the book series: Mathematical Physics Studies ((MPST,volume 23))

Abstract

We review some recent advances in understanding the zeta determinant of an elliptic boundary value problem for the Dirac operator. We discuss a recent adiabatic pasting formula for the determinant with respect to a partition of the underlying manifold, and outline some of the applications to geometric anomalies.

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Author information

Authors and Affiliations

  1. Department of Mathematics, King’s College, London, WC2R 2LS, UK

    Simon G. Scott

  2. Department of Mathematics, IUPUI (Indiana/Purdue), Indianapolis, IN, 46202-3216, USA

    Krzysztof P. Wojciechowski

Authors
  1. Simon G. Scott
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  2. Krzysztof P. Wojciechowski
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Editor information

Editors and Affiliations

  1. Keio University, Yokohama, Japan

    Yoshiaki Maeda , Hitoshi Moriyoshi  & Tatsuya Tate ,  & 

  2. Science University of Tokyo, Noda, Japan

    Hideki Omori

  3. CNRS and Université de Bourgogne, Dijon, France

    Daniel Sternheimer

  4. Tohoku University, Sendai, Japan

    Satoshi Watamura

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© 2001 Springer Science+Business Media Dordrecht

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Scott, S.G., Wojciechowski, K.P. (2001). Determinants of Elliptic Boundary Problems in Quantum Field Theory. In: Maeda, Y., Moriyoshi, H., Omori, H., Sternheimer, D., Tate, T., Watamura, S. (eds) Noncommutative Differential Geometry and Its Applications to Physics. Mathematical Physics Studies, vol 23. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0704-7_12

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  • DOI: https://doi.org/10.1007/978-94-010-0704-7_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-3829-4

  • Online ISBN: 978-94-010-0704-7

  • eBook Packages: Springer Book Archive

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