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コロキウムのお知らせ

2017年

11月30日(木)のコロキウム

講師 Dr. Kouji Kashiwa (Yukawa Institute for Theoretical Physics, Kyoto University)
タイトル Exploring the QCD phase structure from imaginary chemical potential
日時 2017.11.30 (Thu.) 10:30--12:00, 14:30--16:00
場所 Seminar room No. 405, 4th floor, Fac. of Science building No.1
概要

In the first half of this seminar, I will talk how the imaginary chemical potential plays an important role to understand the Quantum Chromodynamics (QCD) phase structure at finite temperature and real chemical potential. At finite imaginary chemical potential, there is no sign problem and thus we can perform the first-principle calculation such as the lattice QCD simulation [1]. Also, the Roberge-Weiss (RW) periodicity and the RW transition appear as special properties of QCD at finite imaginary chemical potential. I will explain how we can access the real chemical potential region from the imaginary chemical potential region based on above properties; the analytic continuation method, the canonical method, Lee-Yang zero analysis, the imaginary chemical potential matching will be discussed.

In the latter half of the seminar, I will show our recent study [2-4] for the confinement-deconfinement transition based on the analogy of the topological order. The topological order which has been developed in the condensed matter physics can clarify the phase transition which do not have any relations with the spontaneous symmetry breaking; the ground-sate degeneracy in the system with the nontrivial topology plays a crucial role [5]. In our study, we consider the free-energy degeneracy appearing in the imaginary chemical potential as the analogy of the ground-state degeneracy to determine the confinement-deconfinement transition. I will explain how the degeneracy can describe the confinement-deconfinement transition and discuss the future direction.

References
  1. For example, P. de Forcrand, PoS LAT2009 (2009) 010 and references therein
  2. K. Kashiwa and A. Ohnishi, Phys. Lett. B750 (2015) 282
  3. K. Kashiwa and A. Ohnishi, Phys. Rev. D 93 (2016) 116002
  4. K. Kashiwa and A. Ohnishi, Phys. Lett. B772 (2017) 669
  5. For example, M. Sato, Phys.Rev. D77 (2008) 045013 and references therein

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