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Inhomogeneous chiral symmetry breaking in isospin-asymmetric strong-interaction matter

Nowakowski, Daniel (2017):
Inhomogeneous chiral symmetry breaking in isospin-asymmetric strong-interaction matter.
Darmstadt, Technische Universität Darmstadt, [Online-Edition: http://tuprints.ulb.tu-darmstadt.de/6157],
[Ph.D. Thesis]

Abstract

In this thesis we investigate the effects of an isospin asymmetry on inhomogeneous chiral symmetry breaking phases, which are characterized by spatially modulated quark-antiquark condensates. In order to determine the relevance of such phases for the phase diagram of strong-interaction matter, a two-flavor Nambu–Jona-Lasinio model is used to study the properties of the ground state of the system. Confirming the presence of inhomogeneous chiral symmetry breaking in isospin-asymmetric matter for a simple Chiral Density Wave, we generalize the modulation of the quark-antiquark pairs to more complicated shapes and study the effects of different degrees of flavor-mixing on the inhomogeneous phase at non-zero isospin asymmetry. Then, we investigate the occurrence of crystalline chiral symmetry breaking phases in charge-neutral matter, from which we determine the influence of crystalline phases on a quark star by calculating mass-radius sequences. Finally, our model is extended through color-superconducting phases and we study the interplay of these phases with inhomogeneous chiral-symmetry breaking at non-vanishing isospin asymmetry, before we discuss our findings.

Item Type: Ph.D. Thesis
Erschienen: 2017
Creators: Nowakowski, Daniel
Title: Inhomogeneous chiral symmetry breaking in isospin-asymmetric strong-interaction matter
Language: English
Abstract:

In this thesis we investigate the effects of an isospin asymmetry on inhomogeneous chiral symmetry breaking phases, which are characterized by spatially modulated quark-antiquark condensates. In order to determine the relevance of such phases for the phase diagram of strong-interaction matter, a two-flavor Nambu–Jona-Lasinio model is used to study the properties of the ground state of the system. Confirming the presence of inhomogeneous chiral symmetry breaking in isospin-asymmetric matter for a simple Chiral Density Wave, we generalize the modulation of the quark-antiquark pairs to more complicated shapes and study the effects of different degrees of flavor-mixing on the inhomogeneous phase at non-zero isospin asymmetry. Then, we investigate the occurrence of crystalline chiral symmetry breaking phases in charge-neutral matter, from which we determine the influence of crystalline phases on a quark star by calculating mass-radius sequences. Finally, our model is extended through color-superconducting phases and we study the interplay of these phases with inhomogeneous chiral-symmetry breaking at non-vanishing isospin asymmetry, before we discuss our findings.

Place of Publication: Darmstadt
Divisions: 05 Department of Physics > Institute of Nuclear Physics > Theoretische Kernphysik
05 Department of Physics > Institute of Nuclear Physics > Theoretische Kernphysik > Quanten-Chromo-Dynamic
05 Department of Physics > Institute of Nuclear Physics > Theoretische Kernphysik > Starke QCD und nukleare Astrophysik
05 Department of Physics > Institute of Nuclear Physics
05 Department of Physics
Date Deposited: 30 Apr 2017 19:55
Official URL: http://tuprints.ulb.tu-darmstadt.de/6157
URN: urn:nbn:de:tuda-tuprints-61570
Referees: Buballa, PD Dr. Michael and Wambach, Prof. Dr. Jochen
Refereed / Verteidigung / mdl. Prüfung: 25 April 2016
Alternative Abstract:
Alternative abstract Language
In dieser Arbeit betrachten wir das Phasendiagram stark-wechselwirkender Materie bei nichtverschwindender Isospin-Asymmetrie und untersuchen im Rahmen eines Zwei-Flavor-Nambu–Jona-Lasinio Modells die Relevanz von inhomogenenen Phasen, in denen der chirale Ordnungsparameter räumlich variiert. Zuerst zeigen wir für eine einfache Chiral Density Wave-Modulation der Quark-Antiquark–Paare, dass inhomogene chiral-gebrochene Phasen in isospin-asymmetrischer Materie auftreten können. Im nächsten Schritt verallgemeinern wir die räumliche Modulation der Ordnungsparameter auf kompliziertere Formen und untersuchen im Detail den Einfluss des Flavor-Mixing–Grades auf die inhomogene Phase. Dabei konzentrieren wir uns auf eindimensionale räumliche Modulationen des Ordnungsarameters und analysieren zusätzlich die Auswirkungen der Forderung nach elektrischer Ladungsneutralität auf die inhomogenen chiral gebrochenen Phasen. Als Anwendung bestimmen wir daraus Masse-Radius–Beziehungen für einen Quark-Stern. Zuletzt erweiteren wir unser Modell um farbsupraleitende Phasen und studieren das Zusammenspiel zwischen solchen Phasen und inhomogen chiral-gebrochenen Phasen bei endlichen Werten der Isospin-Asymmetrie. Abschließend diskutieren und interpretieren wir unsere Ergebnisse.German
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