Danhoni, Isabella (2024)
Shear Viscosity for QCD at High Chemical Potentials.
Technische Universität Darmstadt
doi: 10.26083/tuprints-00027859
Dissertation, Erstveröffentlichung, Verlagsversion
Kurzbeschreibung (Abstract)
Quark-gluon plasma (QGP) is generated in lower-energy collisions with a high net baryon number. Consequently, the baryon chemical potential µ B is several times higher than the temperature T . This regime cannot be directly studied on the lattice; therefore, the high-density region of the QCD phase diagram is not as well understood as the µ B = 0 axis. At high temperatures, one can claim that the perturbative series should work better at a high chemical potential, such that µ B > T > T c , than in the case of µ B = 0[41]. Due to the strongly coupled nature of soft gluons, perturbation theory fails in hot QCD before the coupling becomes large [62]. However, at high chemical potential, the scattering from quarks is enhanced by a factor of µ 2 B /T 2 , and one expects the perturbative series to behave better. With this motivation, we study the influence of chemical potentials on the QCD shear viscosity in this thesis. Namely, we extend the Arnold-Moore-Yaffe (AMY) calculations for shear viscosity at leading log [13] in weakly coupled high-temperature and dense QCD[41]. Following this, we also perform a study of shear viscosity with multiple conserved charges, baryonic (B), strangeness (S), and electric (C), using the leading log treatment. After that, we extend the high-density calculations to leading perturbative order, first calculated in [9] for vanishing chemical potentials, and to ”almost” next to the leading order, based on the work from Ghiglieri et al. [62]. With these results, we test the convergence of the perturbative series. Finally, in a complementary work, we study the shear-stress linear response function and investigate the existence of a branch cut touching the origin in a system of scalar self-interacting particles with quartic interactions.
Typ des Eintrags: | Dissertation | ||||
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Erschienen: | 2024 | ||||
Autor(en): | Danhoni, Isabella | ||||
Art des Eintrags: | Erstveröffentlichung | ||||
Titel: | Shear Viscosity for QCD at High Chemical Potentials | ||||
Sprache: | Englisch | ||||
Referenten: | Moore, Prof. Ph.D Guy ; Rischke, Prof. Dr. Dirk H. | ||||
Publikationsjahr: | 7 August 2024 | ||||
Ort: | Darmstadt | ||||
Kollation: | xi, 165 Seiten | ||||
Datum der mündlichen Prüfung: | 17 Juli 2024 | ||||
DOI: | 10.26083/tuprints-00027859 | ||||
URL / URN: | https://tuprints.ulb.tu-darmstadt.de/27859 | ||||
Kurzbeschreibung (Abstract): | Quark-gluon plasma (QGP) is generated in lower-energy collisions with a high net baryon number. Consequently, the baryon chemical potential µ B is several times higher than the temperature T . This regime cannot be directly studied on the lattice; therefore, the high-density region of the QCD phase diagram is not as well understood as the µ B = 0 axis. At high temperatures, one can claim that the perturbative series should work better at a high chemical potential, such that µ B > T > T c , than in the case of µ B = 0[41]. Due to the strongly coupled nature of soft gluons, perturbation theory fails in hot QCD before the coupling becomes large [62]. However, at high chemical potential, the scattering from quarks is enhanced by a factor of µ 2 B /T 2 , and one expects the perturbative series to behave better. With this motivation, we study the influence of chemical potentials on the QCD shear viscosity in this thesis. Namely, we extend the Arnold-Moore-Yaffe (AMY) calculations for shear viscosity at leading log [13] in weakly coupled high-temperature and dense QCD[41]. Following this, we also perform a study of shear viscosity with multiple conserved charges, baryonic (B), strangeness (S), and electric (C), using the leading log treatment. After that, we extend the high-density calculations to leading perturbative order, first calculated in [9] for vanishing chemical potentials, and to ”almost” next to the leading order, based on the work from Ghiglieri et al. [62]. With these results, we test the convergence of the perturbative series. Finally, in a complementary work, we study the shear-stress linear response function and investigate the existence of a branch cut touching the origin in a system of scalar self-interacting particles with quartic interactions. |
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Status: | Verlagsversion | ||||
URN: | urn:nbn:de:tuda-tuprints-278595 | ||||
Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 530 Physik | ||||
Fachbereich(e)/-gebiet(e): | 05 Fachbereich Physik 05 Fachbereich Physik > Institut für Kernphysik 05 Fachbereich Physik > Institut für Kernphysik > Theoretische Kernphysik 05 Fachbereich Physik > Institut für Kernphysik > Theoretische Kernphysik > Quanten-Chromo-Dynamic |
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Hinterlegungsdatum: | 07 Aug 2024 12:35 | ||||
Letzte Änderung: | 09 Aug 2024 12:52 | ||||
PPN: | |||||
Referenten: | Moore, Prof. Ph.D Guy ; Rischke, Prof. Dr. Dirk H. | ||||
Datum der mündlichen Prüfung / Verteidigung / mdl. Prüfung: | 17 Juli 2024 | ||||
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