Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO

Plefka, Jan; Shi, Canxin; Steinhoff, Jan; Wang, Tianheng

doi:10.1103/physrevd.100.086006

Cited by 64 publications

(46 citation statements)

References 71 publications

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“…This connection comes about from an effective field theory perspective where spinless blackholes may be modeled by massive scalar particles in the classical and large mass limit (for introductory reviews see [41][42][43]). While the double copy procedure could be efficiently applied up to the 1PN and 2PM level [18,[20][21][22][23][24]26] a recent double-copy construction at the 2PN and 3PM level of the present authors and Steinhoff revealed a disagreement with the known 2PN result in dilatongravity [44].…”

Section: Introductionmentioning

confidence: 97%

Double copy of massive scalar QCD

2020

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We construct the gravitational theory emerging from the double-copy of massive scalar quantum chromodynamics in general dimensions. The resulting two-form-dilaton-gravity theory couples to flavored massive scalars gravitationally and via the dilaton. It displays scalar self-interaction terms of arbitrary even order in the fields but quadratic in derivatives. We work out the emerging Lagrangian explicitly up to the sixth order in scalar fields and propose an all order form.

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Section: Introductionmentioning

confidence: 97%

Double copy of massive scalar QCD

2020

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“…In ref. [66] a first attempt was made to find a gauge-invariant double copy, where a general formula applicable for QCD amplitudes was given in terms of an unknown KLT-like 1 Curiously, a recent classical double-copy calculation of the effective action of two massive spinless particles failed to match the known next-to-next-to-leading order result [63]. It remains to be seen if this is because of some inherent problem, or simply due to the ambiguities present in off-shell unphysical quantities.…”

Section: Introductionmentioning

confidence: 99%

Double copy for massive quantum particles with spin

Johansson

Ochirov

2019

J. High Energ. Phys.

157

182

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The duality between color and kinematics was originally observed for purely adjoint massless gauge theories, and later found to hold even after introducing massive fermionic and scalar matter in arbitrary gauge-group representations. Such a generalization was critical for obtaining both loop amplitudes in pure Einstein gravity and realistic gravitational matter from the double copy. In this paper we elaborate on the double copy that yields amplitudes in gravitational theories coupled to flavored massive matter with spin, which is relevant to the problems of black-hole scattering and gravitational waves. Our construction benefits from making the little group explicit for the massive particles, as shown on lower-point examples. For concreteness, we focus on the double copy of QCD with massive quarks, for which we work out the gravitational Lagrangian up to quartic scalar and vector-scalar couplings. We find new gauge-invariant double-copy formulae for tree-level amplitudes with two distinct-flavor pairs of matter and any number of gravitons. These are similar to, but inherently different from, the well-known Kawai-Lewellen-Tye formulae, since the latter only hold for the double copy of purely adjoint gauge theories.

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“…(3.9), the width of the slit around the bisecting line T = T ′ defined by the partie-finie procedure is dT = f (T )ǫ where ǫ is initially considered as being infinitesimal, before replacing it by the finite value 2s/c at the end. This leads to the following partie-finie integral 29) the above expression can be rewritten as 30) where ǫ = 2s/c. Note that q(T, T ′ ) is not (contrary to G(T, T ′ )) a symmetric function of T and T ′ .…”

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confidence: 99%

Sixth post-Newtonian local-in-time dynamics of binary systems

2020

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We complete our previous derivation, at the sixth post-Newtonian (6PN) accuracy, of the localin-time dynamics of a gravitationally interacting two-body system by giving two gauge-invariant characterizations of its complementary nonlocal-in-time dynamics. On the one hand, we compute the nonlocal part of the scattering angle for hyberboliclike motions; and, on the other hand, we compute the nonlocal part of the averaged (Delaunay) Hamiltonian for ellipticlike motions. The former is computed as a large-angular-momentum expansion (given here to next-to-next-to-leading order), while the latter is given as a small-eccentricity expansion (given here to the tenth order). We note the appearance of ζ(3) in the nonlocal part of the scattering angle. The averaged Hamiltonian for ellipticlike motions then yields two more gauge-invariant observables: the energy and the periastron precession as functions of orbital frequencies. We point out the existence of a hidden simplicity in the mass-ratio dependence of the gravitational-wave energy loss of a two-body system.

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Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO

Cited by 64 publications

References 71 publications

Double copy of massive scalar QCD

Double copy of massive scalar QCD

Double copy for massive quantum particles with spin

Sixth post-Newtonian local-in-time dynamics of binary systems

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