Competition between the rotational effect and the finite-size effect on relativistic fermions Kazuya Mameda Fudan University HL. Chen, K. Fukushima, XG. Huang, KM, PRD 93, 104052 (2016) S. Ebihara, K. Fukushima, KM, PLB 764, 94 (2017) HL. Chen, K. Fukushima, XG. Huang, KM, PRD 96.054032 (2017)
Rotating Relativistic Systems heavy-ion collision Deng, Huang (2016) Jiang, Lin, Liao (2016) (local rotation) (interior) (surface) Lai, Shapiro (1991) Ferrer et al. (2010) Duncan, Thompson (1992) Skokov et al. (2009) Magnetar Marshall et al. (2004) Heavy-ion collisions rotating (and magnetized) QCD systems black holes binary star merger NASA/JPL-Caltech NASA/Tod Strohmayer neutron stars <latexit sha1_base64="HjHLJySixNHwyd6aXI/pYbgQNg0=">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</latexit> <latexit sha1_base64="HjHLJySixNHwyd6aXI/pYbgQNg0=">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</latexit> <latexit sha1_base64="HjHLJySixNHwyd6aXI/pYbgQNg0=">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</latexit> <latexit sha1_base64="HjHLJySixNHwyd6aXI/pYbgQNg0=">ACfXichVFNSxtBGH5cbWpbVa9KF5CQ6QHCe+Wgh8n0YsXaUyMBrIh7G4ncXC/2J0ENYh3/0APVUIRQr1R3jpH+jBn1B6VOilB9sFopK23eYmWeZ93npmxQ1fGiuh6RBsde/J0fOJZ5vnki5dZfWp6Nw46kSOqTuAGUc2YuFKX1SVK6ohZGwPNsVe/bBxmB/ryuiWAb+joKRcOz2r5sScdSTDX1OfOdJ9qWGUsvZ5C5aCpxqHpbYvekqepSEnkHgMjBXmkUQr0zDxHgEcdOBwIdi7MJCzK0OA4SQuQZ6zEWMZLIvcIMazucJTjDYvaAxzav6inr83pQM07UDp/ico9YmUOBvtMF3dA3+kI/6Pdfa/WSGgMvRzbQ60Im9mz2cqv/6o8nhX2/6j+6VmheXEq2TvYcIMbuEM9d3jDzeV1XKht0Dn9JP9f6JruIb+N1bp78tyh+R4Q8wHj73Y1B9U1wpGtv82vr6U9MYB6v8Jqfewlr2EQJVT72FH18xaUGbUFb1IrDVG0k1czgXmhLd+VJko=</latexit> Ω ∼ 10 MeV
Contents Part I Finite-size system with Ω Part II Finite-size system with Ω and eB
Contents No rotational effect at zero temperature ( & Goals ) Part I Finite-size system with Ω Part II Finite-size system with Ω and eB B- field enables rotation to affect thermodynamics
Part I Finite-size system with Ω
Rigidly Rotating System Chernodub, Gongyo (2016) Ex.) rotating bosons larger orbit : favored centrifugal force Landau, Lifshitz (1958) Ω μ eff H → H − Ω · L Ω 1 n BE = e � ( E − Ω ` ) − 1
Finite-size System continuous integer discrete finite-size effect causality constraint Rotating systems must be finite-size 1 n BE < 0 for large Ω ?? n BE = e � ( E − Ω ` ) − 1 Ω R v edge = Ω R ≤ 1 v edge = R Ω R ≤ 1 / Ω < ∞ p z p ⊥ l
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