A Nonlinear Model for Relativistic Electrons at Positive Temperature

Details A Nonlinear Model for Relativistic Electrons at Positive Temperature A Nonlinear Model for Relativistic Electrons at Positive Temperature

2008-02-27

arxiv.org/abs/0802.4054v1

Rev. Math. Phys. 20, 1283 (2008)

Physics

Mathematical Physics

Scientific paper

10.1142/S0129055X08003547

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.

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