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Chaos in the Quantum Field Theory S-Matrix.
1School of Natural Sciences, Institute for Advanced Study, Einstein Drive, Princeton, New Jersey 08540, USA and Initiative for the Theoretical Sciences, The Graduate Center, CUNY, New York, New York 10016, USA.
Chaos is observed in scattering, where deflection angles unpredictably change with impact parameters. This study proposes using the erratic behavior of the many-particle S-matrix in quantum field theory to probe chaos.
Area of Science:
- Quantum Field Theory
- Scattering Theory
- Chaos Theory
Background:
- Chaos is a known phenomenon in scattering systems.
- The outgoing deflection angle exhibits erratic behavior as a function of the impact parameter.
Purpose of the Study:
- To extend the study of chaos from classical scattering to quantum field theory.
- To utilize the erratic behavior of the many-particle S-matrix as a novel probe for chaos.
Main Methods:
- Investigating the S-matrix in the context of quantum field theory.
- Analyzing the many-particle S-matrix for erratic behavior indicative of chaos.
Main Results:
- Demonstrating the feasibility of extending chaos studies to quantum field theory.
- Identifying the erratic behavior of the S-matrix as a quantifiable signature of chaos.
Conclusions:
- The many-particle S-matrix can serve as an effective tool for probing chaos in quantum field theory.
- This approach offers a new perspective on understanding chaotic dynamics in fundamental physics.
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