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04 December 2021
  » arxiv » 1012.1571

 Article overview

On the functional determinant of a special operator with a zero mode in cosmology
A.O.Barvinsky ;
Date 7 Dec 2010
AbstractThe functional determinant of a special second order quantum-mechanical operator subject to periodic boundary conditions is calculated with its zero mode gauged out by the method of the Faddeev-Popov gauge fixing procedure. This operator arises in applications of the early Universe theory and, in particular, determines the one-loop statistical sum in quantum cosmology generated by a conformal field theory (CFT). The calculation is done for a special case of a periodic zero mode of this operator having two roots (nodes) within the period range, which corresponds to the class of cosmological instantons in the CFT driven cosmology with one oscillation of the cosmological scale factor of its Euclidean Friedmann-Robertson-Walker metric.
Source arXiv, 1012.1571
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