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We introduce a novel algebraic recursion for calculating N-graviton correlators. This method simplifies complex calculations by automatically handling symmetry factors and combinatorics for graviton and ghost loops.

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Area of Science:

  • Theoretical physics
  • Quantum gravity
  • String theory

Background:

  • Calculating N-graviton correlators is essential for understanding quantum gravity.
  • Existing methods involve complex combinatorics and symmetry factor calculations.
  • One-loop integrands present significant computational challenges.

Purpose of the Study:

  • To propose a simplified algebraic recursion for complete one-loop integrands of N-graviton correlators.
  • To develop a method that automatically handles symmetry factors and combinatorics.
  • To provide a more efficient approach for theoretical physics calculations.

Main Methods:

  • Development of a simple algebraic recursion formula.
  • Application of the formula to N-graviton correlators.
  • Inclusion of both graviton and ghost loop contributions.

Main Results:

  • A novel algebraic recursion for one-loop N-graviton integrands is presented.
  • The formula correctly yields symmetry factors for individual diagrams.
  • Combinatorics related to graviton and ghost loops are seamlessly controlled.

Conclusions:

  • The proposed algebraic recursion offers a significant simplification for calculating N-graviton correlators.
  • This method enhances efficiency and accuracy in theoretical physics research.
  • It provides a powerful tool for exploring quantum gravity and related fields.