摘要: The partition function of a degenerate quadratic functional is defined and studied. It shown that Ray-Singer invariants can be interpreted as functions functionals. In the case non-quadratic semiclassical approximation to considered.
springer.com
harvard.edu
sci-hub.se 参考文章(6)
D. B. Ray, I. M. Singer, Analytic Torsion for Complex Manifolds The Annals of Mathematics. ,vol. 98, pp. 154- 177 ,(1973) , 10.2307/1970909
A. S. Schwarz, Instantons and fermions in the field of instanton Communications in Mathematical Physics. ,vol. 64, pp. 233- 268 ,(1979) , 10.1007/BF01221733
D.B. Ray, I.M. Singer, R-Torsion and the Laplacian on Riemannian manifolds Advances in Mathematics. ,vol. 7, pp. 145- 210 ,(1971) , 10.1016/0001-8708(71)90045-4
Peter Greiner, An asymptotic expansion for the heat equation Archive for Rational Mechanics and Analysis. ,vol. 41, pp. 163- 218 ,(1971) , 10.1007/BF00276190
A. S. Schwarz, On quantum fluctuations of instantons Letters in Mathematical Physics. ,vol. 2, pp. 201- 205 ,(1978) , 10.1007/BF00406406
L. D. Faddeev, Feynman integral for singular Lagrangians Theoretical and Mathematical Physics. ,vol. 1, pp. 1- 13 ,(1969) , 10.1007/BF01028566