Non-perturbative Double Copy in Flatland
arXiv:2204.07130 · doi:10.1103/PhysRevLett.129.221602
Abstract
We derive a non-perturbative, Lagrangian-level formulation of the double copy in two spacetime dimensions. Our results elucidate the field theoretic underpinnings of the double copy in a broad class of scalar theories which can include masses and higher-dimension operators. An immediate corollary is the amplitudes-level double copy at all orders in perturbation theory. Applied to certain integrable models, the double copy defines an isomorphism between Lax connections, Wilson lines, and infinite towers of conserved currents. We also implement the double copy at the level of non-perturbative classical solutions, both analytically and numerically, and present a generalization of the double copy map that includes a fixed tower of higher-dimension corrections given by the Moyal algebra.
arXiv commentUpdated to match published version. 9 pages + 1 figure + 1 animation also accessible at https://bit.ly/3OdGIo4
References in corpus (50)
- String Theory and Noncommutative Geometry
- New Relations for Gauge-Theory Amplitudes
- Perturbative Quantum Gravity as a Double Copy of Gauge Theory
- Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
- Black Hole Binary Dynamics from the Double Copy and Effective Theory
- From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
- New Color Decompositions for Gauge Amplitudes at Tree and Loop Level
- The Kinematic Algebra From the Self-Dual Sector
- Scattering Amplitudes and Conservative Binary Dynamics at
- Effective Field Theories from Soft Limits
- Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
- On-Shell Recursion Relations for Effective Field Theories
- Energetics of two-body Hamiltonians in post-Minkowskian gravity
- The Ultraviolet Properties of N=4 Supergravity at Four Loops
- Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
- Ultraviolet Properties of N = 8 Supergravity at Five Loops
- Currents, Charges, and Canonical Structure of Pseudodual Chiral Models
- Algebras for Amplitudes
- Absence of Three-Loop Four-Point Divergences in N=4 Supergravity
- Symmetry and Action for Flavor-Kinematics Duality
- The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
- A Hidden Symmetry of the Galileon
- Double copy structure of CFT correlators
- Gluon Scattering in AdS from CFT
- On duality of color and kinematics in (A)dS momentum space
- Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
- Local conserved charges in principal chiral models
- Color/Kinematics Duality in AdS
- Galileon Duality
- Generalized Galileon Duality
- Covariant Color-Kinematics Duality
- Double copy structure and the flat space limit of conformal correlators in even dimensions
- Double-Copy Constructions and Unitarity Cuts
- Double Copy Relation for AdS
- Off-Shell Color-Kinematics Duality for Chern-Simons
- On the Differential Representation and Color-Kinematics Duality of AdS Boundary Correlators
- Amplitudes and Ultraviolet Behavior of N=8 Supergravity
- Constraints on a Massive Double-Copy and Applications to Massive Gravity
- New heavenly double copies
- Massive Gravity from Double Copy
- Generalizations of the Double-Copy: the KLT Bootstrap
- Unification of Galileon Dualities
- Super Gluon Five-Point Amplitudes in AdS Space
- On the massless tree-level S-matrix in 2d sigma models
- Towards Color-Kinematics Duality in Generic Spacetimes
- No Particle Production in Two Dimensions: Recursion Relations and Multi-Regge Limit
- Hidden Symmetries of the Principal Chiral Model Unveiled
- Gauge theories and non-commutative geometry
- Non-perturbative aspects of galileon duality
- BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space