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＜博士論文＞
符号問題のない領域からの量子色力学相図の決定
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| 概要 | Quantum chromodynamics (QCD) is the theory of the strong interaction between quarks and gluons. The interaction becomes small at high energy, while it does strong at low energy. It is highly expected ...from the energy dependence that the QCD matter at high temperature T and/or high quark chemical potential μq experiences a phase transition from a confined state with the chiral symmetry breaking to a deconfined state with the symmetry restoration. The phase diagram in the T-μq plane is relevant to the early universe, compact stars and heavy-ion collisions. The first-principle lattice QCD (LQCD) suffers from the sign problem at finite μq where the integrand of the partition function is complex and LQCD techniques break down. Therefore the QCD phase diagram at finite μq is unclear. In this thesis, we propose a new strategy to investigate the QCD phase diagram at finite μq. There are some regions with no sign problem, imaginary μq and real and imaginary isospin chemical potentials μiso. We then propose an analytic continuation from the regions with no sign problem to the real μq region with the sign problem by using an effective model that can evaluate the QCD partition function in all the regions. The Polyakov-loop extended Nambu?Jona-Lasinio (PNJL) model is only the effective model that can do this. We show that the PNJL model reproduces LQCD data qualitatively in all the regions, but not quantitatively. We then extend the PNJL model in order to reproduce the LQCD data quantitatively. The QCD phase diagram at real μq is predicted by the new model.続きを見る |
| 目次 | Contents List of Figures 1 Introduction 2 Quantum Chromodynamics 3 Polyakov-loop extended Nambu―Jona-Lasinio model 4 Sign Problem 5 Imaginary Chemical Potential 6 Isospin Chemical Potential 7 Entanglement PNJL model 8 Conclusions |
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sci1171
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3.85 MB | 251 | 本文 | |
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sci1171_abstract
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150 KB | 236 | 要旨 |
詳細
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| 登録日 | 2013.07.12 |
| 更新日 | 2023.11.21 |