On the functional determinant of a special operator with a zero mode in cosmology

Journal Article · Fri Apr 01 04:00:00 EDT 2011 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2011/04/035· OSTI ID:22277858

Barvinsky, A. O. ^[1]

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1. Theory Department, Lebedev Physics Institute, Leninsky Prospect 53, Moscow 119991 (Russian Federation)

The functional determinant of a special second order quantum-mechanical operator is calculated with its zero mode gauged out by the method of the Faddeev-Popov gauge fixing procedure. This operator subject to periodic boundary conditions 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.

• OSTI ID: 22277858
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 04 Vol. 2011; ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
BOUNDARY CONDITIONS
CONFORMAL INVARIANCE
COSMOLOGICAL MODELS
COSMOLOGY
EUCLIDEAN SPACE
INSTANTONS
METRICS
OSCILLATIONS
PERIODICITY
QUANTUM FIELD THEORY
QUANTUM MECHANICS
UNIVERSE