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Article Dans Une Revue Physical Review D Année : 2023

Virtues of a symmetric-structure double copy

Résumé

We demonstrate a physical motivation for extending color-dual or BCJ double-copy construction to include theories with kinematic numerators that obey the same algebraic relations as symmetric structure constants, d^{abc}=Tr[{T^a,T^b}T^c]. We verify that U(N) nonlinear sigma model (NLSM) pions, long known to be color-dual in terms of antisymmetric adjoint factors, f^{abc}, are also color-dual in the sense of symmetric color structures, d^{abc}, explicitly through six-point scattering. This reframing of NLSM pion amplitudes complements our compositional construction of d^{abc} color-dual higher derivative gauge operators. With adjoint and symmetric color-dual kinematics, we can span all four-point effective photon operators via a double-copy construction using amplitudes from physical theories. We further comment on a tension between locality and adjoint effective numerators, and the implications for spanning gravitational effective operators with non-adjoint kinematics.

Dates et versions

hal-03866306 , version 1 (22-11-2022)

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Citer

John Joseph M. Carrasco, Nicolas H. Pavao. Virtues of a symmetric-structure double copy. Physical Review D, 2023, 107 (6), pp.065005. ⟨10.1103/PhysRevD.107.065005⟩. ⟨hal-03866306⟩
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