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Communications in Mathematical Physics

, Volume 155, Issue 2, pp 249–260 | Cite as

Geometry of Batalin-Vilkovisky quantization

  • Albert Schwarz
Article

Abstract

The geometry ofP-manifolds (odd symplectic manifolds) andSP-manifolds (P-manifolds provided with a volume element) is studied. A complete classification of these manifolds is given. This classification is used to prove some results about Batalin-Vilkovisky procedure of quantization, in particular to obtain a very general result about gauge independence of this procedure.

Keywords

Neural Network Manifold Statistical Physic Complex System Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Batalin, I., Vilkovisky, G.: Gauge algebra and quantization. Phys. Lett.102B, 27 (1981)Google Scholar
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    Batalin, I., Vilkovisky, G.: Quantization of gauge theories with linearly dependent generators. Phys. Rev.D29, 2567 (1983)Google Scholar
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    Witten, E.: A note on the antibracket formalism. Mod. Phys. Lett.A5, 487 (1990)Google Scholar
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    Schwarz, A.: The partition function of a degenerate functional. Commun. Math. Phys.67, 1 (1979)Google Scholar
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    Berezin, F.: Introduction to algebra and analysis with anticommuting variables. Moscow Univ., 1983 (English translation is published by Reidel)Google Scholar

Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Albert Schwarz
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaDavisUSA

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