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arXiv · 0802.4054

A Nonlinear Model for Relativistic Electrons at Positive Temperature

Christian Hainzl·Mathieu Lewin·Robert Seiringer
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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, Séré, and Solovej where the case of zero temperature was considered.

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Christian Hainzl, Mathieu Lewin, Robert Seiringer. 2008-02-27. A Nonlinear Model for Relativistic Electrons at Positive Temperature. https://doi.org/10.1142/s0129055x08003547

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