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Perturbative Quantum Gravity and its Relation to Gauge Theory.

Zvi Bern1

  • 1Department of Physics and Astronomy, University of California at Los Angeles, Los Angeles, CA 90095 USA.

Living Reviews in Relativity
|February 7, 2017
PubMed
Summary

A novel relationship reveals that gravity scattering amplitudes can be derived from gauge theory amplitudes. This connection simplifies quantizing gravity theories and analyzing their ultraviolet divergences.

Area of Science:

  • Theoretical Physics
  • Quantum Field Theory
  • Gravitational Physics

Background:

  • Scattering amplitudes in gauge theories and gravity theories are fundamental to understanding particle interactions.
  • Traditional methods for quantizing gravity theories are often complex and technically demanding.

Purpose of the Study:

  • To describe a non-trivial relationship between perturbative gauge theory and gravity scattering amplitudes.
  • To present a systematic method for constructing quantum loop corrections in gravity theories.
  • To investigate the ultraviolet behavior of maximally supersymmetric gravity.

Main Methods:

  • Expressing gravity scattering amplitudes at tree-level as products of gauge theory amplitudes.
  • Utilizing D-dimensional unitarity to construct quantum loop corrections.

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  • Applying the unitarity method for perturbative quantization of massless gravity theories.

    • Main Results:

    • Gravity tree-level amplitudes can be systematically constructed from gauge theory amplitudes.
    • The unitarity method provides an alternative to traditional quantization techniques for gravity.
    • Maximally supersymmetric gravity exhibits reduced ultraviolet divergences compared to prior estimations.

    Conclusions:

    • A profound connection exists between gauge theory and gravity scattering amplitudes, simplifying theoretical calculations.
    • The unitarity method offers a powerful and efficient approach for quantizing gravity and studying its properties.
    • These findings have implications for understanding quantum gravity and its behavior at high energies.