Extended solutions for the biadjoint scalar field

Abstract

Biadjoint scalar field theories are increasingly important in the study of scattering amplitudes in various string and field theories. Recently, some first exact nonperturbative solutions of biadjoint scalar theory were presented, with a pure power-like form corresponding to isolated monopole-like objects located at the origin of space. In this paper, we find a novel family of extended solutions, involving non-trivial form factors that partially screen the divergent field at the origin. All previous solutions emerge as special cases.

11 pages, 2 figures

References in corpus (31)

• New Relations for Gauge-Theory Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Scattering of Massless Particles in Arbitrary Dimension
• Gravity as the Square of Gauge Theory
• Black holes and the double copy
• Scattering Equations and KLT Orthogonality
• Radiation and the classical double copy for color charges
• The classical double copy for Taub-NUT spacetime
• Perturbative spacetimes from Yang-Mills theory
• The double copy: Bremsstrahlung and accelerating black holes
• Loop Integrands for Scattering Amplitudes from the Riemann Sphere
• Ambitwistor strings in 4-dimensions
• Algebras for Amplitudes
• Classical gluon and graviton radiation from the bi-adjoint scalar double copy
• Yang-Mills origin of gravitational symmetries
• Scattering on plane waves and the double copy
• Scattering in Three Dimensions from Rational Maps
• Non-abelian $Z$-theory: Berends-Giele recursion for the ${\alpha }^{\prime }$-expansion of disk integrals
• On the null origin of the ambitwistor string
• Berends-Giele recursion for double-color-ordered amplitudes
• Static Spherically Symmetric Kerr-Schild Metrics and Implications for the Classical Double Copy
• Two-Loop Scattering Amplitudes from the Riemann Sphere
• Exact solutions for the biadjoint scalar field
• Can scalars have asymptotic symmetries?
• A double copy for $\mathcal{N}=2$ supergravity: a linearised tale told on-shell
• Are all supergravity theories Yang-Mills squared?
• Twin Supergravities from Yang-Mills Squared
• Gravity as the square of Yang-Mills?
• Relations for Einstein-Yang-Mills amplitudes from the CHY representation
• Conformal Gravity from Gauge Theory
• One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations

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• Topology and Wilson lines: global aspects of the double copy
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• The Classical Double Copy of a Point Charge
• The convolutional double copy: a case study with a point
• A double copy for asymptotic symmetries in the self-dual sector
• Gravitational radiation from the classical spinning double copy
• The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order
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• More on the Classical Double Copy in Three Spacetime Dimensions
• Kaluza-Klein from Colour-Kinematics Duality for Massive Fields
• Weyl double copy and massless free fields in curved spacetimes
• Extracting Einstein from the Loop-Level Double-Copy
• The double copy: gravity from gluons
• Color-kinematics duality, double copy and the unitarity method for higher-derivative QCD and quadratic gravity
• The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar
• A spinorial double copy for $\mathcal{N}=0$ supergravity
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