Fluctuations about Cosmological Instantons

Details Fluctuations about Cosmological Instantons Fluctuations about Cosmological Instantons

2006-05-17

arxiv.org/abs/hep-th/0605176v1

Phys.Rev.D74:024018,2006

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 11 figures

Scientific paper

10.1103/PhysRevD.74.024018

We study the semiclassical fluctuation problem around bounce solutions for a self-interacting scalar field in curved space. As in flat space, the fluctuation problem separates into partial waves labeled by an integer l, and we determine the large l behavior of the fluctuation determinants, a quantity needed to define a finite fluctuation prefactor. We also show that while the Coleman-De Luccia bounce solution has a single negative mode in the l=0 sector, the oscillating bounce solutions also have negative modes in partial waves higher than the s-wave, further evidence that they are not directly related to quantum tunneling.

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