Zero modes, gauge fixing, monodromies, $ζ$-functions and all that

Details Zero modes, gauge fixing, monodromies, $ζ$-functions and all that Zero modes, gauge fixing, monodromies, $ζ$-functions and all that

2012-04-15

arxiv.org/abs/1204.3262v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, to appear in J. Phys. A: Math. Theor. arXiv admin note: substantial text overlap with arXiv:1111.4474

Scientific paper

We discuss various issues associated with the calculation of the reduced functional determinant of a special second order differential operator $\boldmath${F}$ =-d^2/d\tau^2+\ddot g/g$, $\ddot g\equiv d^2g/d\tau^2$, with a generic function $g(\tau)$, subject to periodic and Dirichlet boundary conditions. These issues include the gauge-fixed path integral representation of this determinant, the monodromy method of its calculation and the combination of the heat kernel and zeta-function technique for the derivation of its period dependence. Motivations for this particular problem, coming from applications in quantum cosmology, are also briefly discussed. They include the problem of microcanonical initial conditions in cosmology driven by a conformal field theory, cosmological constant and cosmic microwave background problems.

Affiliated with

Also associated with

No associations

Rating

Zero modes, gauge fixing, monodromies, $ζ$-functions and all that does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Zero modes, gauge fixing, monodromies, $ζ$-functions and all that, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zero modes, gauge fixing, monodromies, $ζ$-functions and all that will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-287496