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The partition function of degenerate quadratic functional and Ray-Singer invariants

  • Published: January 1978
  • Volume 2, pages 247–252, (1978)
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The partition function of degenerate quadratic functional and Ray-Singer invariants
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  • A. S. Schwarz1 
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Abstract

The partition function of degenerate quadratic functional is defined and studied. It is shown that analytic torsion and similar invariants can be interpreted as partition functions of quadratic functionals.

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References

  1. Faddeev, L. and Popov, V., Usp. Fiz. Nauk 111, 427 (1973).

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  2. Faddeev, L., Teor. Math. Fiz. 1, 3 (1969).

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  3. Schwarz, A., LMP (to be published).

  4. Ray, D. and Singer, I., Advances in Math. 7, 145 (1971).

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  5. Ray, D. and Singer, I., Ann. of Math. 98, 154 (1973).

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  6. Seeley, R., Amer. Math. Soc. Proc. Symp. Pure Math. 10, 288 (1967).

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Authors and Affiliations

  1. Dept. of Theoretical Physics, Moscow Institute of Physical Engineering, Kashirsdoe sk1, 115 409, Moscow, M-409, U.S.S.R.

    A. S. Schwarz

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  1. A. S. Schwarz
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Schwarz, A.S. The partition function of degenerate quadratic functional and Ray-Singer invariants. Letters in Mathematical Physics 2, 247–252 (1978). https://doi.org/10.1007/BF00406412

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  • Received: 18 December 1977

  • Issue date: January 1978

  • DOI: https://doi.org/10.1007/BF00406412

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Keywords

  • Statistical Physic
  • Partition Function
  • Group Theory
  • Analytic Torsion
  • Quadratic Functional
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