A Nonlinear Model for Relativistic Electrons at Positive Temperature
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
We study the relativistic electron-positron field at positive temperature in the Hartree-Fock-approximation. We consider both the case with and without exchange term, and investigate the existence and properties of minimizers. Our approach is non-perturbative in the sense that the relevant electron subspace is determined in a self-consistent way. The present work is an extension of previous work by Hainzl, Lewin, S\'er\'e, and Solovej where the case of zero temperature was considered.
Cite
@article{arxiv.0802.4054,
title = {A Nonlinear Model for Relativistic Electrons at Positive Temperature},
author = {Christian Hainzl and Mathieu Lewin and Robert Seiringer},
journal= {arXiv preprint arXiv:0802.4054},
year = {2009}
}