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Gauge-Invariant Double Copies via Recursion Relations.

Jacob L Bourjaily1, Nikhil Kalyanapuram1, Kokkimidis Patatoukos1

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Summary
This summary is machine-generated.

We show that gravity amplitudes are double copies of Yang-Mills amplitudes using on-shell recursion. This construction reveals multiple, unique ways to represent these gravitational amplitudes.

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Area of Science:

  • Theoretical physics
  • Quantum field theory
  • String theory

Background:

  • Tree-level amplitudes in quantum gravity and Yang-Mills theory are fundamental to understanding particle interactions.
  • Existing methods for calculating these amplitudes can be complex and computationally intensive.

Purpose of the Study:

  • To demonstrate a novel construction for expressing tree-level amplitudes in pure (super)gravity.
  • To establish a relationship between gravitational and gauge theory amplitudes through double copy.
  • To explore the non-uniqueness of these representations.

Main Methods:

  • Utilizing on-shell recursion relations to derive amplitudes.
  • Applying the 'double copy' procedure to relate gravity and Yang-Mills amplitudes.
  • Investigating variations in recursive schemes to generate different representations.

Main Results:

  • All tree-level amplitudes in pure (super)gravity are proven to be termwise, gauge-invariant double copies of pure (super)Yang-Mills amplitudes.
  • The construction yields a diverse set of distinct, yet valid, representations for gravitational amplitudes.
  • The non-uniqueness arises from the flexibility in choosing the recursive scheme.

Conclusions:

  • The double copy framework provides a powerful and versatile tool for understanding gravitational amplitudes.
  • This construction offers new insights into the relationship between gauge theories and gravity.
  • Further exploration of recursive schemes can uncover additional representations and properties of quantum amplitudes.