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The partition function of a degenerate functional

1979; Springer Science+Business Media; Volume: 67; Issue: 1 Linguagem: Inglês

10.1007/bf01223197

1432-0916

Albert Schwarz,

Advanced Algebra and Geometry

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.