Tripolt, Ralf-Arno (2015)
Spectral Functions and Transport Coefficients from the Functional Renormalization Group.
Technische Universität Darmstadt
Dissertation, Erstveröffentlichung
Kurzbeschreibung (Abstract)
In this thesis we present a new method to obtain real-time quantities like spectral functions and transport coefficients at finite temperature and density using the Functional Renormalization Group approach. Our non-perturbative method is thermodynamically consistent, symmetry preserving and based on an analytic continuation from imaginary to real time on the level of the flow equations. We demonstrate the applicability of this method by calculating mesonic spectral functions as well as the shear viscosity for the quark-meson model.
In particular, results are presented for the pion and sigma spectral function at finite temperature and chemical potential, with a focus on the regime near the critical endpoint in the phase diagram of the quark-meson model. Moreover, the different time-like and space-like processes, which give rise to a complex structure of the spectral functions, are discussed. Finally, based on the momentum dependence of the spectral functions, we calculate the shear viscosity and the shear viscosity to entropy density ratio using the corresponding Green-Kubo formula.
| Typ des Eintrags: | Dissertation | ||||
|---|---|---|---|---|---|
| Erschienen: | 2015 | ||||
| Autor(en): | Tripolt, Ralf-Arno | ||||
| Art des Eintrags: | Erstveröffentlichung | ||||
| Titel: | Spectral Functions and Transport Coefficients from the Functional Renormalization Group | ||||
| Sprache: | Englisch | ||||
| Referenten: | von Smekal, Priv. Doz. Lorenz ; Wambach, Prof. Jochen | ||||
| Publikationsjahr: | 2015 | ||||
| Datum der mündlichen Prüfung: | 3 Juni 2015 | ||||
| URL / URN: | http://tuprints.ulb.tu-darmstadt.de/4578 | ||||
| Kurzbeschreibung (Abstract): | In this thesis we present a new method to obtain real-time quantities like spectral functions and transport coefficients at finite temperature and density using the Functional Renormalization Group approach. Our non-perturbative method is thermodynamically consistent, symmetry preserving and based on an analytic continuation from imaginary to real time on the level of the flow equations. We demonstrate the applicability of this method by calculating mesonic spectral functions as well as the shear viscosity for the quark-meson model. In particular, results are presented for the pion and sigma spectral function at finite temperature and chemical potential, with a focus on the regime near the critical endpoint in the phase diagram of the quark-meson model. Moreover, the different time-like and space-like processes, which give rise to a complex structure of the spectral functions, are discussed. Finally, based on the momentum dependence of the spectral functions, we calculate the shear viscosity and the shear viscosity to entropy density ratio using the corresponding Green-Kubo formula. |
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| Alternatives oder übersetztes Abstract: |
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| URN: | urn:nbn:de:tuda-tuprints-45785 | ||||
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 530 Physik | ||||
| Fachbereich(e)/-gebiet(e): | 05 Fachbereich Physik 05 Fachbereich Physik > Institut für Kernphysik |
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| Hinterlegungsdatum: | 14 Jun 2015 19:55 | ||||
| Letzte Änderung: | 14 Jun 2015 19:55 | ||||
| PPN: | |||||
| Referenten: | von Smekal, Priv. Doz. Lorenz ; Wambach, Prof. Jochen | ||||
| Datum der mündlichen Prüfung / Verteidigung / mdl. Prüfung: | 3 Juni 2015 | ||||
| Export: | |||||
| Suche nach Titel in: | TUfind oder in Google | ||||
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