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Unifying Monopole and Center Vortex as the Semiclassical Confinement Mechanism
1<a href="https://ror.org/0589kgd85">Yukawa Institute for Theoretical Physics</a>, <a href="https://ror.org/02kpeqv85">Kyoto University</a>, Kyoto 606-8502, Japan.
Physical Review Letters
|November 12, 2024
Summary
Magnetic excitations like monopoles and center vortices explain color confinement in 4D Yang-Mills theory. This study unifies these mechanisms, revealing their explicit relationship under specific compactified conditions.
Area of Science:
- Theoretical Physics
- Quantum Field Theory
Background:
- Understanding color confinement in 4D Yang-Mills theory is essential.
- Monopoles and center vortices are proposed mechanisms for confinement.
Purpose of the Study:
- To unify the monopole and center vortex mechanisms of confinement.
- To demonstrate the explicit relationship between these two semiclassical descriptions.
Main Methods:
- Analyzing 4D Yang-Mills theory under compactified setups (R³×S¹ and R²×T²).
- Investigating monopole mechanism with double-trace deformation.
- Examining center-vortex mechanism with 't Hooft flux.
Main Results:
- The study establishes a unified semiclassical description of confinement.
- An explicit relation between monopole and center vortex mechanisms is demonstrated.
Conclusions:
- The findings provide a comprehensive understanding of color confinement in 4D Yang-Mills theory.
- The unification bridges different weakly coupled descriptions of confinement phenomena.
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