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Subleading soft theorem in arbitrary dimensions from scattering equations
Burkhard U W Schwab1, Anastasia Volovich1
1Department of Physics, Brown University, 182 Hope Street, Providence, Rhode Island 02912, USA.
Physical Review Letters
|September 20, 2014
Summary
We prove a universal behavior for Yang-Mills theory and gravity scattering amplitudes using the new soft graviton theorem and the Cachazo-He-Yuan formula.
Area of Science:
- Theoretical Physics
- High Energy Physics
- Quantum Field Theory
Background:
- The soft graviton theorem describes the behavior of gravitational radiation at low energies.
- Recent proposals have introduced new frameworks for understanding these theorems.
Purpose of the Study:
- To investigate the novel soft graviton theorem proposed by Cachazo and Strominger.
- To demonstrate the universality of this theorem in scattering amplitudes.
Main Methods:
- Utilizing the Cachazo-He-Yuan (CHY) formula.
- Analyzing tree-level scattering amplitudes in arbitrary dimensions.
Main Results:
- Proved a universal behavior for scattering amplitudes in both Yang-Mills theory and gravity.
- Confirmed the applicability of the new soft graviton theorem across different theories.
Conclusions:
- The Cachazo-He-Yuan formula provides a powerful tool for proving universal properties of scattering amplitudes.
- The soft graviton theorem exhibits consistent behavior in various quantum field theories.
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