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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory
  • Quantum Gravity

Background:

  • Scalar field scattering is fundamental in quantum gravity.
  • Understanding trans-Planckian physics requires robust theoretical frameworks.
  • Existing models often face challenges with unitarity or causality.

Purpose of the Study:

  • To investigate gravity-mediated scattering of scalar fields.
  • To develop a parameterization of the Lorentzian quantum effective action.
  • To ensure scattering amplitudes meet unitarity and causality requirements at high energies.

Main Methods:

  • Utilizing a parameterization of the Lorentzian quantum effective action.
  • Analyzing the interplay of infinite towers of spin zero and spin two poles.
  • Examining behavior at imaginary squared momentum.

Main Results:

  • Demonstrated scattering amplitudes compatible with unitarity bounds.
  • Confirmed causality of the scattering amplitudes.
  • Showed scale-free behavior at trans-Planckian energies.

Conclusions:

  • The proposed framework successfully models gravity-mediated scalar scattering.
  • The construction avoids non-localities and massive higher-spin particles.
  • This approach offers an alternative to string theory for high-energy physics.