Built on

Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon, and M. Zeng, “Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order,” Phys. Rev. Lett
Original
1901
Earlier work this paper cites.
A. Antonelli, A. Buonanno, J. Steinhoff, M. van de Meent, and J. Vines, “Energetics of two-body Hamiltonians in post-Minkowskian gravity,” Phys. Rev. D
Original
1901
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon, and M. Zeng, “Black Hole Binary Dynamics from the Double Copy and Effective Theory,” JHEP
Original
1908
Earlier work this paper cites.
Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson, and R. Roiban, “The Duality Between Color and Kinematics and its Applications,” arXiv:1909.01358 [hep-th]
Original
1909
Earlier work this paper cites.
A. E. Lipstein and P. McFadden, “Double copy structure and the flat space limit of conformal correlators in even dimensions,” Phys. Rev. D
Original
1912
Earlier work this paper cites.
J. E. Moyal, “Quantum mechanics as a statistical theory,” Proc. Cambridge Phil. Soc
1949
Earlier work this paper cites.
P. D. Lax, “Integrals of Nonlinear Equations of Evolution and Solitary Waves,” Commun. Pure Appl. Math
1968
Earlier work this paper cites.
V. E. Zakharov and A. V. Mikhailov, “Relativistically Invariant Two-Dimensional Models in Field Theory Integrable by the Inverse Problem Technique. (In Russian),” Sov. Phys. JETP
1978
Earlier work this paper cites.
A. M. Polyakov, “Gauge Fields as Rings of Glue,” Nucl. Phys. B
1980
Earlier work this paper cites.
C. R. Nappi, “Some Properties of an Analog of the Nonlinear σ \sigma Model,” Phys. Rev. D
1980
Earlier work this paper cites.
H. Kawai, D. C. Lewellen, and S. H. H. Tye, “A Relation Between Tree Amplitudes of Closed and Open Strings,” Nucl. Phys. B
1986
Earlier work this paper cites.
J. Hoppe, “Diffeomorphism Groups, Quantization and SU(infinity),” Int. J. Mod. Phys. A
1989
Earlier work this paper cites.
P. Fletcher, “The Uniqueness of the Moyal algebra,” Phys. Lett. B
1990
Earlier work this paper cites.
Springer Heidelberg, Heidelberg, 1991
V. E. Zakharov, ed., What Is Integrability? · 1991
Earlier work this paper cites.
T. Curtright and C. K. Zachos, “Currents, charges, and canonical structure of pseudodual chiral models,” Phys. Rev. D
1994
Earlier work this paper cites.
C. Devchand and J. Schiff, “Hidden symmetries of the principal chiral model unveiled,” Commun. Math. Phys
1998
Earlier work this paper cites.
J. M. Evans, M. Hassan, N. J. MacKay, and A. J. Mountain, “Local conserved charges in principal chiral models,” Nucl. Phys. B
1999
Earlier work this paper cites.
N. Seiberg and E. Witten, “String theory and noncommutative geometry,” JHEP
1999
Earlier work this paper cites.
V. Del Duca, L. J. Dixon, and F. Maltoni, “New color decompositions for gauge amplitudes at tree and loop level,” Nucl. Phys. B
2000
Earlier work this paper cites.
L. A. Johnson, C. R. T. Jones, and S. Paranjape, “Constraints on a Massive Double-Copy and Applications to Massive Gravity,” JHEP
Original
2004
Earlier work this paper cites.

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Then

WSP, 2015
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J. J. M. Carrasco, “Gauge and Gravity Amplitude Relations,” in Theoretical Advanced Study Institute in Elementary Particle Physics: Journeys Through the Precision Frontier: Amplitudes for Colliders · 2015
Later among the works it cites.
C. Cheung, K. Kampf, J. Novotny, and J. Trnka, “Effective Field Theories from Soft Limits of Scattering Amplitudes,” Phys. Rev. Lett
Original
2015
Later among the works it cites.
K. Hinterbichler and A. Joyce, “Hidden symmetry of the Galileon,” Phys. Rev. D
Original
2015
Later among the works it cites.
C. Cheung, K. Kampf, J. Novotny, C.-H. Shen, and J. Trnka, “On-Shell Recursion Relations for Effective Field Theories,” Phys. Rev. Lett
Original
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Later among the works it cites.
Z. Bern, S. Davies, and J. Nohle, “Double-Copy Constructions and Unitarity Cuts,” Phys. Rev. D

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2022

Non-perturbative Double Copy in Flatland

Cheung, Clifford, Mangan, James, Parra-Martinez, Julio et al.

Understand

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.

Built on

Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon, and M. Zeng, “Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order,” Phys. Rev. Lett
Original
1901
Earlier work this paper cites.
A. Antonelli, A. Buonanno, J. Steinhoff, M. van de Meent, and J. Vines, “Energetics of two-body Hamiltonians in post-Minkowskian gravity,” Phys. Rev. D
Original
1901
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon, and M. Zeng, “Black Hole Binary Dynamics from the Double Copy and Effective Theory,” JHEP
Original
1908
Earlier work this paper cites.
Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson, and R. Roiban, “The Duality Between Color and Kinematics and its Applications,” arXiv:1909.01358 [hep-th]
Original
1909
Earlier work this paper cites.
A. E. Lipstein and P. McFadden, “Double copy structure and the flat space limit of conformal correlators in even dimensions,” Phys. Rev. D
Original
1912
Earlier work this paper cites.
J. E. Moyal, “Quantum mechanics as a statistical theory,” Proc. Cambridge Phil. Soc
1949
Earlier work this paper cites.
P. D. Lax, “Integrals of Nonlinear Equations of Evolution and Solitary Waves,” Commun. Pure Appl. Math
1968
Earlier work this paper cites.
V. E. Zakharov and A. V. Mikhailov, “Relativistically Invariant Two-Dimensional Models in Field Theory Integrable by the Inverse Problem Technique. (In Russian),” Sov. Phys. JETP
1978
Earlier work this paper cites.
A. M. Polyakov, “Gauge Fields as Rings of Glue,” Nucl. Phys. B
1980
Earlier work this paper cites.
C. R. Nappi, “Some Properties of an Analog of the Nonlinear σ \sigma Model,” Phys. Rev. D
1980
Earlier work this paper cites.
H. Kawai, D. C. Lewellen, and S. H. H. Tye, “A Relation Between Tree Amplitudes of Closed and Open Strings,” Nucl. Phys. B
1986
Earlier work this paper cites.
J. Hoppe, “Diffeomorphism Groups, Quantization and SU(infinity),” Int. J. Mod. Phys. A
1989
Earlier work this paper cites.
P. Fletcher, “The Uniqueness of the Moyal algebra,” Phys. Lett. B
1990
Earlier work this paper cites.
Springer Heidelberg, Heidelberg, 1991
V. E. Zakharov, ed., What Is Integrability? · 1991
Earlier work this paper cites.
T. Curtright and C. K. Zachos, “Currents, charges, and canonical structure of pseudodual chiral models,” Phys. Rev. D
1994
Earlier work this paper cites.
C. Devchand and J. Schiff, “Hidden symmetries of the principal chiral model unveiled,” Commun. Math. Phys
1998
Earlier work this paper cites.
J. M. Evans, M. Hassan, N. J. MacKay, and A. J. Mountain, “Local conserved charges in principal chiral models,” Nucl. Phys. B
1999
Earlier work this paper cites.
N. Seiberg and E. Witten, “String theory and noncommutative geometry,” JHEP
1999
Earlier work this paper cites.
V. Del Duca, L. J. Dixon, and F. Maltoni, “New color decompositions for gauge amplitudes at tree and loop level,” Nucl. Phys. B
2000
Earlier work this paper cites.
L. A. Johnson, C. R. T. Jones, and S. Paranjape, “Constraints on a Massive Double-Copy and Applications to Massive Gravity,” JHEP
Original
2004
Earlier work this paper cites.