Effects of rotation and boundaries on chiral symmetry breaking of relativistic fermions
Effects of rotation and boundaries on chiral symmetry breaking of relativistic fermions
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DOI：
10.1103/physrevd.95.096006
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发表时间：
2017-02
影响因子：
5
通讯作者：
M. Chernodub;S. Gongyo
中科院分区：
文献类型：
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作者：
M. Chernodub;S. Gongyo
为了避免非物理的超空性效应，任何刚性旋转系统都必须在与旋转轴垂直的方向上有界。我们证明了这一要求意味着相对论旋转系统的性质对边界条件的实质性依赖。本文考虑了有限半径柱面空间中由Nambu-Jona-Lasinio模型描述的相互作用费米子系统。为了将费米子限制在圆柱体内部，我们在其表面施加“手征”MIT边界条件。这些边界条件通过连续的手征角θ来参数化。我们发现，在任意的\Theta值下，手征恢复温度T_c随角频率\Omega的二次函数而降低.然而，相图中临界曲线T_c = T_c（\Ω）的位置和斜率明显依赖于手征角的大小。
In order to avoid unphysical causality-violating effects any rigidly rotating system must be bounded in directions transverse to the axis of rotation. We demonstrate that this requirement implies substantial dependence of properties of relativistically rotating system on the boundary conditions. We consider a system of interacting fermions described by the Nambu-Jona-Lasinio model in a space bounded by cylindrical surface of finite radius. In order to confine the fermions inside the cylinder we impose "chiral" MIT boundary conditions on its surface. These boundary conditions are parameterized by a continuous chiral angle \Theta. We find that at any value of \Theta the chiral restoration temperature T_c decreases as a quadratic function of the angular frequency \Omega. However, the position and the slope of the critical curve T_c = T_c(\Omega) in the phase diagram depends noticeably on the value of the chiral angle.