{"publication":"Reviews in Mathematical Physics","publication_status":"published","issue":"10","type":"journal_article","doi":"10.1142/S0129055X08003547","page":"1283 - 1307","oa":1,"_id":"2383","volume":20,"abstract":[{"text":"We study the relativistic electron-positron field at positive temperature in the Hartree-Fock approximation. We consider both the case with and without exchange terms, 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.","lang":"eng"}],"publist_id":"4545","date_updated":"2021-01-12T06:57:09Z","author":[{"first_name":"Christian","last_name":"Hainzl","full_name":"Hainzl, Christian"},{"full_name":"Lewin, Mathieu","first_name":"Mathieu","last_name":"Lewin"},{"first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"status":"public","date_created":"2018-12-11T11:57:21Z","day":"01","publisher":"World Scientific Publishing","year":"2008","month":"11","date_published":"2008-11-01T00:00:00Z","extern":1,"citation":{"ama":"Hainzl C, Lewin M, Seiringer R. A nonlinear model for relativistic electrons at positive temperature. <i>Reviews in Mathematical Physics</i>. 2008;20(10):1283-1307. doi:<a href=\"https://doi.org/10.1142/S0129055X08003547\">10.1142/S0129055X08003547</a>","ieee":"C. Hainzl, M. Lewin, and R. Seiringer, “A nonlinear model for relativistic electrons at positive temperature,” <i>Reviews in Mathematical Physics</i>, vol. 20, no. 10. World Scientific Publishing, pp. 1283–1307, 2008.","mla":"Hainzl, Christian, et al. “A Nonlinear Model for Relativistic Electrons at Positive Temperature.” <i>Reviews in Mathematical Physics</i>, vol. 20, no. 10, World Scientific Publishing, 2008, pp. 1283–307, doi:<a href=\"https://doi.org/10.1142/S0129055X08003547\">10.1142/S0129055X08003547</a>.","short":"C. Hainzl, M. Lewin, R. Seiringer, Reviews in Mathematical Physics 20 (2008) 1283–1307.","apa":"Hainzl, C., Lewin, M., &#38; Seiringer, R. (2008). A nonlinear model for relativistic electrons at positive temperature. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0129055X08003547\">https://doi.org/10.1142/S0129055X08003547</a>","ista":"Hainzl C, Lewin M, Seiringer R. 2008. A nonlinear model for relativistic electrons at positive temperature. Reviews in Mathematical Physics. 20(10), 1283–1307.","chicago":"Hainzl, Christian, Mathieu Lewin, and Robert Seiringer. “A Nonlinear Model for Relativistic Electrons at Positive Temperature.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2008. <a href=\"https://doi.org/10.1142/S0129055X08003547\">https://doi.org/10.1142/S0129055X08003547</a>."},"intvolume":"        20","main_file_link":[{"url":"http://arxiv.org/abs/0802.4054","open_access":"1"}],"title":"A nonlinear model for relativistic electrons at positive temperature","quality_controlled":0}