Abstract
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.
Highlights
A most remarkable property of gravitational scattering amplitudes on Minkowski space-time backgrounds is a factorization of these highly involved structures into simpler building blocks
It provides a mechanism to transform the local gauge symmetries of the double-copied Yang-Mills theory to the diffeomorphism symmetry of the resulting gravitational theory. This procedure hinges upon finding a representation of the gauge theory amplitudes built from trivalent graphs with color and kinematic numerator factors fulfilling Jacobilike identities. It was originally observed for pure gauge theories which double copied to puregravities at tree level and has proven to be an efficient tool beyond tree level to generate amplitude integrands at high-loop orders in the maximal supersymmetric case [6,7]
In this work we extend these results by going down in spin and work out the details of the double copy of massive scalar QCD
Summary
A most remarkable property of gravitational scattering amplitudes on Minkowski space-time backgrounds is a factorization of these highly involved structures into simpler building blocks. It provides a mechanism to transform the local gauge symmetries of the double-copied Yang-Mills theory to the diffeomorphism symmetry of the resulting gravitational theory This procedure hinges upon finding a representation of the gauge theory amplitudes built from trivalent graphs with color and kinematic numerator factors fulfilling Jacobilike identities. It was originally observed for pure gauge theories (with and without supersymmetry) which double copied to pure (super)gravities at tree level (where proofs of the double copy exist [4,5]) and has proven to be an efficient tool beyond tree level to generate amplitude integrands at high-loop orders in the maximal supersymmetric case [6,7]. The doublecopied amplitude is obtained by replacing ci →ni and ign → −iðκ=2Þn in (3), a process known as “squaring.”
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