Strong coupling isotropization of non-abelian plasmas simplified

Area of Science:

• High-energy physics
• Plasma physics
• Gravitational physics

Background:

• Strongly coupled non-abelian plasmas are crucial in high-energy physics.
• Understanding plasma isotropization is key to describing early universe and heavy-ion collisions.
• Gravity duals provide a powerful tool to study strongly coupled systems.

Purpose of the Study:

• To investigate the isotropization of a homogeneous, strongly coupled, non-abelian plasma using its gravity dual.
• To compare the accuracy of full nonlinear Einstein's equations versus linearized Einstein's equations in describing plasma isotropization.
• To determine the isotropization time and its dependence on initial conditions.

Main Methods:

• Utilizing the gravity dual of a strongly coupled non-abelian plasma.
• Solving the full nonlinear Einstein's equations for plasma evolution.
• Solving linearized Einstein's equations around the equilibrium state.
• Comparing the time evolution of numerous initially anisotropic plasma states.

Main Results:

• The linearized Einstein's equations provide a remarkably accurate approximation for plasma isotropization.
• The linear approximation predicts the isotropization time with approximately 20% accuracy.
• The isotropization time is found to be on the order of 1/T, where T is the final equilibrium temperature.
• The approximation holds even for states exhibiting large initial anisotropies.

Conclusions:

• Linearized Einstein's equations are a reliable tool for studying plasma isotropization in strongly coupled non-abelian plasmas.
• The findings suggest potential for simplified models in analyzing similar physical systems.
• Further research can explore extensions to less symmetric and more complex plasma scenarios.