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Semi-Bogomol'nyi-Prasad-Sommerfield sphaleron and its dynamics
A Alonso-Izquierdo1, S Navarro-Obregón2, K Oles3
1Department of Applied Mathematics, University of Salamanca, Casas del Parque 2 and Institute of Fundamental Physics and Mathematics, University of Salamanca, Plaza de la Merced 1, 37008-Salamanca, Spain.
Physical Review. E
|January 20, 2024
Summary
We developed a field theory where a sphaleron, a particle-like solution, forms a semi-BPS state with an impurity. This system, similar to BPS multisolitons, exhibits unique dynamics due to an unstable decay direction.
Area of Science:
- Theoretical Physics
- Quantum Field Theory
- Particle Physics
Background:
- Sphalerons are saddle-point solutions in field theories.
- BPS states are important in understanding solitons and supersymmetry.
- Impurities can significantly alter the behavior of physical systems.
Purpose of the Study:
- To construct a simple field theory incorporating a sphaleron and a background impurity.
- To investigate the properties of a sphaleron-impurity system as a semi-BPS state.
- To study the dynamics of the sphaleron within this novel system.
Main Methods:
- Construction of a simplified field theory model.
- Analysis of the sphaleron-impurity interaction, identifying it as a semi-BPS state.
- Examination of the system's stability and decay mechanisms.
Main Results:
- A field theory was successfully constructed where a sphaleron forms a semi-BPS state with an impurity.
- The sphaleron-impurity system exhibits no static force, similar to BPS multisolitons.
- The system possesses an inherent instability, allowing for sphaleron decay.
Conclusions:
- The constructed semi-BPS sphaleron-impurity system offers a unique platform for studying particle dynamics.
- This model provides insights into the behavior of unstable solutions in the presence of background defects.
- Further research into the decay dynamics can illuminate fundamental aspects of field theories.
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