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Heat-Kernels and functional determinants on the generalized cone

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Abstract

We consider zeta functions and heat-kernel expansions on the bounded, generalized cone in arbitrary dimensions using an improved calculational technique. The specific case of a global monopole is analysed in detail and some restrictions thereby placed on theA 5/2 coefficient. The computation of functional determinants is also addressed. General formulas are given and known results are incidentally, and rapidly, reproduced.

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Communicated by R.H. Dijkgraaf

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Bordag, M., Kirsten, K. & Dowker, S. Heat-Kernels and functional determinants on the generalized cone. Commun.Math. Phys. 182, 371–393 (1996). https://doi.org/10.1007/BF02517895

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