The Stokes Phenomenon and Quantum Tunneling for de Sitter Radiation in Nonstationary Coordinates

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTex 10 pages, no figure

Scientific paper

We study quantum tunneling for the de Sitter radiation in the planar coordinates and global coordinates, which are nonstationary coordinates and describe the expanding geometry. Using the phase-integral approximation for the Hamilton-Jacobi action in the complex plane of time, we obtain the particle-production rate in both coordinates and derive the additional sinusoidal factor depending on the dimensionality of spacetime and the quantum number for spherical harmonics in the global coordinates. This approach resolves the factor of two problem in the tunneling method.

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