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Wodzicki residue and anomalies of current algebras

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Integrable Models and Strings

Part of the book series: Lecture Notes in Physics ((LNP,volume 436))

Abstract

The commutator anomalies (Schwinger terms) of current algebras in 3 + 1 dimensions are computed in terms of the Wodzicki residue of pseudodifferential operators; the result can be written as a (twisted) Radul 2-cocycle for the Lie algebra of PSDO's. The construction of the (second quantized) current algebra is closely related to a geometric renormalization of the interaction Hamiltonian H I = JμAμ in gauge theory.

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Authors and Affiliations

  1. Royal Institute of Technology, Stockholm

    Jouko Mickelsson

Authors
  1. Jouko Mickelsson
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Anton Alekseev Antero Hietamäki Katri Huitu Alexei Morozov Antti Niemi

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© 1994 Springer-Verlag

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Mickelsson, J. (1994). Wodzicki residue and anomalies of current algebras. In: Alekseev, A., Hietamäki, A., Huitu, K., Morozov, A., Niemi, A. (eds) Integrable Models and Strings. Lecture Notes in Physics, vol 436. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58453-6_7

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  • DOI: https://doi.org/10.1007/3-540-58453-6_7

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58453-7

  • Online ISBN: 978-3-540-48810-1

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