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Communications in Mathematical Physics

, Volume 67, Issue 1, pp 1–16 | Cite as

The partition function of a degenerate functional

  • A. S. Schwarz
Article

Abstract

The partition function of a degenerate quadratic functional is defined and studied. It is shown that Ray-Singer invariants can be interpreted as partition functions of quadratic functionals. In the case of a degenerate non-quadratic functional the semiclassical approximation to the partition function is considered.

Keywords

Neural Network Statistical Physic Complex System Partition Function 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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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • A. S. Schwarz
    • 1
  1. 1.Department of Theoretical PhysicsMoscow Physical Engineering InstituteMoscowUSSR

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