Fast way to compute functional determinants of radially symmetric partial differential operators in general dimensions

@article{Hur2008FastWT,
title={Fast way to compute functional determinants of radially symmetric partial differential operators in general dimensions},
author={Jin Hur and Hyunsoo Min},
journal={Physical Review D},
year={2008},
volume={77},
pages={125033}
}
• Published 1 May 2008
• Physics
• Physical Review D
Recently the partial-wave cutoff method was developed as a new calculational scheme for a functional determinant of quantum field theory in radial backgrounds. For the contribution given by an infinite sum of large partial waves, we derive explicitly radial-WKB series in the angular momentum cutoff for d=2, 3, 4, and 5 (d is the space-time dimension), which has uniform validity irrespectively of any specific values assumed for other parameters. Utilizing this series, precision evaluation of the…
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