Bootstrapping the relativistic two-body problem

被引：27

作者：

Dlapa, Christoph ^{[1
]}

Kaelin, Gregor ^{[1
]}

Liu, Zhengwen ^{[2
]}

Porto, Rafael A. A. ^{[1
,3
,4
]}

机构：

[1] Deutsch Elektronen Synchrotron DESY, Notkestr 85, D-22607 Hamburg, Germany

[2] Univ Copenhagen, Niels Bohr Inst, Niels Bohr Int Acad, Blegdamsvej 17, DK-2100 Copenhagen, Denmark

[3] Univ Republica, Fac Ingn, Inst Fis, JHy Reissig 565, Montevideo 11000, Uruguay

[4] Univ Republica, Fac Ciencias, Inst Fis, Igua 4225, Montevideo 11400, Uruguay

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2023年 / 2023卷 / 08期

基金：

美国国家科学基金会; 欧洲研究理事会;

关键词：

Classical Theories of Gravity; Effective Field Theories; Scattering Amplitudes; EXPANDING HYPERGEOMETRIC-FUNCTIONS; FEYNMAN-INTEGRALS; DIFFERENTIAL-EQUATIONS; ITERATED INTEGRALS; CANONICAL BASIS; GROBNER BASES; PACKAGE; COMPUTATION; EPSILON; PARTS;

D O I：

10.1007/JHEP08(2023)109

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We describe the formalism to compute gravitational-wave observables for compact binaries via the effective field theory framework in combination with modern tools from collider physics. We put particular emphasis on solving the multi-loop' integration problem via the methodology of differential equations and expansion by regions. This allows us to bootstrap the two-body relativistic dynamics in the Post-Minkowskian (PM) expansion from boundary data evaluated in the near-static (soft) limit. We illustrate the procedure with the derivation of the total spacetime impulse in the scattering of non-spinning bodies to 4PM (three-loop) order, i.e. O(G(4)), including conservative and dissipative effects.

引用

页数：85

共 50 条

[21] Two-body problem in graphene
Sabio, J.
Sols, F.
Guinea, F.
PHYSICAL REVIEW B, 2010, 81 (04):
[22] Love and the two-body problem
Jamieson, V
PHYSICS WORLD, 2001, 14 (10) : 37 - 39
[23] The lowest order relativistic corrections for K-p two-body problem
Wang, WZ
Zhang, QR
Gao, CY
COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 44 (06) : 1061 - 1064
[24] Momentum recoil in the relativistic two-body problem: Higher-order tails
Bini, Donato
Geralico, Andrea
PHYSICAL REVIEW D, 2022, 105 (08)
[25] Numerical integration of a relativistic two-body problem via a multiple scales method
Abouelmagd, Elbaz I.
Elshaboury, S. M.
Selim, H. H.
ASTROPHYSICS AND SPACE SCIENCE, 2016, 361 (01) : 10
[26] Symmetry of the Relativistic Two-Body Bound State
Horwitz, L. P.
Arshansky, R. I.
SYMMETRY-BASEL, 2020, 12 (02):
[27] Solutions of the classical relativistic two-body equation
Onem, C.
Turkish Journal of Physics, 22 (02):
[28] Relativistic N-body problem in a separable two-body basis -: art. no. 044907
Wong, CY
Crater, HW
PHYSICAL REVIEW C, 2001, 63 (04): : 449071 - 4490718
[29] Nuclear two-body variational problem
Rarita, W
Slawsky, ZI
PHYSICAL REVIEW, 1938, 54 (12): : 1053 - 1054
[30] Orbits in a generalized two-body problem
McInnes, CR
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2003, 26 (05) : 743 - 749

← 1 2 3 4 5 →