| 日時: |
2010-11-22 13:30 - 14:30 |
| 場所: |
研究本館１階、会議室3 |
| 会議名: |
Kink Crystals, Chiral Spirals and Inhomogeneous Phases of Gross-Neveu Models |
| 連絡先: |
柴 正太郎、sshiba-AT-post.kek.jp |
| 講演者: |
Prof. Gerald V. Dunne (University of Connecticut) |
| 講演言語: |
英語 |
| アブストラクト: |
The Gross-Neveu models are well-studied models of dynamical chiral symmetry breaking in the large Nf limit, but surprisingly their correct temperature/density phase diagram has only recently been found. There are regions of temperature and chemical potential in which it is thermodynamically favorable for this interacting fermion system to form an inhomogeneous crystalline condensate rather than the usually-assumed uniform condensate. This is based on a new exact solution of the inhomogeneous gap equation. This exact solution is possible because of a deep integrability structure underlying these models, as the Ginzburg-Landau expansion is described by the mKdV and AKNS integrable hierarchies.
Reference:
M. Thies, "From relativistic quantum fields to condensed matter and back again: Updating the Gross-Neveu phase diagram" arXiv:hep-th/0601049.
G. Basar and G. V. Dunne, "Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems" arXiv:0803.1501 [hep-th].
G. Basar and G. V. Dunne, "A Twisted Kink Crystal in the Chiral Gross-Neveu model" arXiv:0806.2659 [hep-th].
G. Basar, G. V. Dunne and M. Thies, "Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL2 model" arXiv:0903.1868 [hep-th].
F. Correa, G. V. Dunne and M. S. Plyushchay, "The Bogoliubov/de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry" arXiv:0904.2768 [hep-th].
G. Basar, G. V. Dunne and D. E. Kharzeev, "Chiral Magnetic Spirals" arXiv:1003.3464 [hep-ph] |
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