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- W2963897396 abstract "We compute a subset of three, velocity-independent four-loop (and fourth post-Newtonian) contributions to the harmonic-coordinates effective action of a gravitationally interacting system of two point-masses. We find that, after summing the three terms, the coefficient of the total contribution is rational, due to a remarkable cancellation between the various occurrences of $pi^2$. This result, obtained by a classical field-theory calculation, corrects the recent effective-field-theory-based calculation by Foffa et al. [arXiv:1612.00482]. Besides showing the usefulness of the saddle-point approach to the evaluation of the effective action, and of x-space computations, our result brings a further confirmation of the current knowledge of the fourth post-Newtonian effective action. We also show how the use of the generalized Riesz formula [Phys. Rev. D 57, 7274 (1998)] allows one to analytically compute a certain four-loop scalar master integral (represented by a four-spoked wheel diagram) which was, so far, only numerically computed." @default.
- W2963897396 created "2019-07-30" @default.
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- W2963897396 date "2017-04-05" @default.
- W2963897396 modified "2023-09-25" @default.
- W2963897396 title "Four-loop static contribution to the gravitational interaction potential of two point masses" @default.
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- W2963897396 doi "https://doi.org/10.1103/physrevd.95.084005" @default.
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