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Color Memory: A Yang-Mills Analog of Gravitational Wave Memory
Monica Pate1, Ana-Maria Raclariu1, Andrew Strominger1
1Center for the Fundamental Laws of Nature, Harvard University, Cambridge, Massachusetts 02138, USA.
Physical Review Letters
|January 13, 2018
Summary
A transient color flux can cause test quarks to gain net color. This phenomenon, a color memory effect in Yang-Mills theory, is analogous to the gravitational memory effect.
Area of Science:
- High-energy physics
- Quantum field theory
- Classical Yang-Mills theory
Background:
- Classical Yang-Mills theory describes the interactions of fundamental particles.
- Understanding particle behavior under transient flux is crucial for quantum field theory.
- The concept of color charge is central to the strong nuclear force.
Purpose of the Study:
- To analyze the effect of transient color flux on test quarks.
- To investigate the acquisition of net color by color-singlet quarks.
- To derive a formula for quark color rotation and explore its implications.
Main Methods:
- Consideration of a transient color flux across null infinity.
- Mathematical derivation of a nonlinear formula for relative color rotation.
- Linearization of the formula for weak color flux scenarios.
Main Results:
- Test quarks initially in a color singlet generically acquire net color due to the flux.
- A nonlinear formula for the relative color rotation of quarks is derived.
- For weak flux, the formula simplifies to the Fourier transform of the soft gluon theorem.
Conclusions:
- The study identifies a color memory effect in Yang-Mills theory.
- This effect is the Yang-Mills analog of the gravitational memory effect.
- The findings contribute to understanding particle dynamics in strong interactions.
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