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Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
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Scattering Amplitudes from Soft Theorems and Infrared Behavior
1Institut de physique theorique, Universite Paris Saclay, CEA, CNRS, F-91191 Gif-sur-Yvette, France.
Physical Review Letters
|March 9, 2019
Summary
Soft theorems uniquely determine tree-level scattering amplitudes across various massless theories. This finding suggests asymptotic symmetries fully constrain holographic scattering matrices.
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.
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