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Published on: November 15, 2013
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Collinear limit of scattering amplitudes at strong coupling
Benjamin Basso1, Amit Sever2, Pedro Vieira3
1Laboratoire de Physique Théorique, École Normale Supérieure, Paris 75005, France.
Physical Review Letters
|January 24, 2015
Summary
This study explores gluon scattering amplitudes in planar N=4 super-Yang-Mills theory at strong coupling. We found these amplitudes map to twist field correlators in a 2D sigma model, with contributions from both minimal string area and fluctuations.
Area of Science:
- High energy physics
- Quantum field theory
- String theory
Background:
- Planar N=4 super-Yang-Mills theory is a key model in quantum field theory.
- Understanding scattering amplitudes at strong coupling is crucial for theoretical physics.
- Recent studies linked entanglement entropy to 2D sigma models.
Purpose of the Study:
- To investigate the collinear limit of gluon scattering amplitudes in planar N=4 super-Yang-Mills theory at strong coupling.
- To establish a mapping between these scattering amplitudes and correlators of twist fields in a 2D nonlinear O(6) sigma model.
- To provide evidence for this mapping using string theory and operator product expansion insights.
Main Methods:
- Analysis of the collinear limit of scattering amplitudes.
- Mapping amplitudes to correlators in the 2D nonlinear O(6) sigma model.
- Utilizing the string world-sheet picture and operator product expansion (OPE) predictions.
Main Results:
- Scattering amplitudes in the collinear limit map to correlators of twist fields.
- This mapping is analogous to those found in entanglement entropy studies.
- Evidence is provided through string theory intuition and OPE series.
Conclusions:
- Scattering amplitudes at strong coupling receive significant contributions from both minimal string area and its fluctuations.
- The study establishes a novel connection between scattering amplitudes and 2D sigma models.
- This work offers new perspectives on understanding quantum field theories at strong coupling.
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