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Equilibrium correlations in charged fluids coupled to the radiation field
Sami El Boustani1, Pascal R Buenzli, Philippe A Martin
1Institute of Theoretical Physics, Swiss Federal Institute of Technology Lausanne, CH-1015 Lausanne EPFL, Switzerland.
Summary
This study precisely analyzes quantum charge and field correlations in a classical radiation field. It reveals an effective magnetic potential and determines large-distance particle correlations and plasma field correlations.
Area of Science:
- Quantum statistical mechanics
- Plasma physics
- Quantum field theory
Background:
- Understanding particle and field correlations is crucial in quantum systems.
- Classical radiation fields interact with quantum charges, influencing system dynamics.
- Microscopic statistical treatments are essential for accurate correlation analysis.
Purpose of the Study:
- To provide an exact microscopic statistical treatment of particle and field correlations.
- To investigate systems of quantum charges in equilibrium with a classical radiation field.
- To determine the contribution of transverse field coupling to particle correlations.
Main Methods:
- Utilizing the Feynman-Kac-Itô representation of the Gibbs weight.
- Mapping the particle system to random charged wires.
- Integrating out field degrees of freedom to derive an effective potential.
Main Results:
- An effective pairwise magnetic potential was derived.
- The contribution of transverse field coupling to large-distance particle correlations was calculated.
- Asymptotics of field correlations in the plasma were exactly determined.
Conclusions:
- The study offers an exact method for analyzing complex quantum-classical systems.
- The derived potential and correlation functions provide insights into electromagnetic interactions.
- This work advances the understanding of correlations in quantum plasmas.
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