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Single-particle spectral function for the classical one-component plasma.
1Institut für Physik, Universität Rostock, 18051 Rostock, Germany. carsten.fortmann@uni-rostock.de
This study presents a new analytical solution for electron plasma spectral functions using the GW approximation. This method accurately captures correlation effects and improves calculations for plasma properties.
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Area of Science:
- Plasma Physics
- Condensed Matter Theory
- Quantum Field Theory
Background:
- Electron plasmas exhibit complex correlation effects beyond mean-field theory.
- Accurate spectral functions are crucial for understanding plasma properties.
Purpose of the Study:
- To develop a self-consistent GW (0) approximation for electron plasma spectral functions.
- To derive a nonperturbative analytic solution for the on-shell GW (0) self-energy.
- To improve calculations of observables in correlated plasmas.
Main Methods:
- Self-consistent calculation of spectral function using GW (0) approximation.
- Derivation of a nonperturbative analytic solution for the on-shell GW (0) self-energy.
- Comparison of analytical results with numerical data and GW (0) approximation.
Main Results:
- The GW (0) approximation successfully incorporates correlation effects like collisional damping and dynamical screening.
- The nonperturbative analytic solution reproduces numerical spectral function data with <10% error for kappa < 1/aB.
- The analytic solution shows correct low-density behavior (n^14), unlike unphysical perturbation expansions.
Conclusions:
- The derived analytic expression for the self-energy significantly simplifies calculations of plasma observables.
- This approach provides a more accurate and computationally efficient method for studying correlated plasmas.
- The method is validated by its accurate prediction of the chemical potential shift.

