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Nonperturbative Double Copy in Flatland.

Clifford Cheung1, James Mangan2, Julio Parra-Martinez1

  • 1Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA.

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|December 9, 2022
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Summary
This summary is machine-generated.

This study introduces a nonperturbative Lagrangian formulation for the double copy in two dimensions, revealing its field theory foundations and extending it to classical solutions and integrable models.

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory
  • String Theory

Background:

  • The double copy is a powerful theoretical tool relating gauge theories to gravity.
  • Previous formulations were often limited to perturbative or specific models.

Purpose of the Study:

  • To develop a nonperturbative, Lagrangian-level formulation of the double copy in two spacetime dimensions.
  • To explore its implications for scalar theories, integrable models, and classical solutions.

Main Methods:

  • Derivation of a nonperturbative Lagrangian formulation for the double copy.
  • Application to scalar field theories with masses and higher-dimension operators.
  • Analysis of integrable models and nonperturbative classical solutions.

Main Results:

  • Established a nonperturbative, Lagrangian-level double copy in 2D.
  • Demonstrated its applicability to broad scalar theories and integrable systems.
  • Extended the double copy to nonperturbative classical solutions and higher-dimension corrections.

Conclusions:

  • The nonperturbative Lagrangian formulation provides a deeper understanding of the double copy.
  • This framework unifies amplitudes, classical solutions, and integrable structures.
  • It offers a generalized double copy map including higher-dimension corrections.