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Scattering Amplitudes from Soft Theorems and Infrared Behavior.

Laurentiu Rodina1

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Summary
This summary is machine-generated.

Soft theorems uniquely determine tree-level scattering amplitudes across various massless theories. This finding suggests asymptotic symmetries fully constrain holographic scattering matrices.

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Area of Science:

  • Theoretical physics
  • Quantum field theory
  • String theory

Background:

  • Soft theorems are crucial for understanding scattering amplitudes in quantum field theory.
  • Previous studies have explored their implications in specific theories.

Purpose of the Study:

  • To prove that soft theorems uniquely fix tree-level scattering amplitudes in a broad class of massless theories.
  • To explore the implications of general soft behavior and asymptotic symmetries for holographic scattering matrices.

Main Methods:

  • Analysis of tree-level scattering amplitudes in Yang-Mills, gravity, nonlinear sigma model (NLSM), Dirac-Born-Infeld (DBI), and dilaton effective theories.
  • Application of soft theorems and investigation of gauge invariance and Adler zeros.
  • Exploration of higher derivative corrections and extended theories like NLSM⊕ϕ³.

Main Results:

  • Soft theorems uniquely fix tree-level scattering amplitudes in numerous massless theories, including NLSM and DBI.
  • A new higher-order correction to the NLSM was identified.
  • Subleading and subsubleading theorems for dilaton and DBI theories were shown to follow from leading theorems.

Conclusions:

  • The results strongly suggest that asymptotic symmetries contain sufficient information to fully determine a holographic S-matrix.
  • This work provides a unified framework for understanding scattering amplitudes through soft theorems.