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• W2108589712 abstract "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 renormalized functional determinant is possible with a relatively small number of low partial-wave contributions determined separately. We illustrate the power of this scheme in a numerically exact evaluation of the prefactor (expressed as a functional determinant) in the case of the false vacuum decay of 4D scalar field theory." @default.
• W2108589712 created "2016-06-24" @default.
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• W2108589712 date "2008-06-27" @default.
• W2108589712 modified "2023-09-27" @default.
• W2108589712 title "Fast way to compute functional determinants of radially symmetric partial differential operators in general dimensions" @default.
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• W2108589712 doi "https://doi.org/10.1103/physrevd.77.125033" @default.
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