致密恒星物质的尺度对称性和组成
Scale symmetry and composition of compact star matter
摘要：
用Skyrmion晶体方法研究了致密致密的恒星物质。所用手征有效理论包括最轻的标量介子、最低位的矢量介子和π介子。在高密度下与矢量表示和胶子极限不动点的一致性限制了胶子场$1.0 \lesssim |γ_{G^2}| \lesssim 2.0$的反常维数，并导致了有效理论的内禀宇称奇部分中尺度对称破缺的重要性。声速$v_s^2 \simeq 1/3$和多方指数$γ\simeq 1$ --都满足共形极限--在高密度下的强子极限不动点之后，但物质仍处于强子相。这意味着无论是保形声速还是多变指数的小都不能作为夸克物质开始的判据。这些结论对建立核物质的物态方程具有重要意义。
英文摘要：
The dense compact star matter is studied by using the skyrmion crystal approach. The chiral effective theory used includes the lightest scalar meson, the lowest-lying vector mesons as well as pions. Consistency with the vector manifestation and the dilaton limit fixed point at high density constrains the anomalous dimension of the gluon field $1.0 \lesssim |γ_{G^2}| \lesssim 2.0$ and leads to the significance of the scale symmetry breaking in the intrinsic parity-odd part of the effective theory. The speed of sound $v_s^2 \simeq 1/3$ and the polytropic index $γ\simeq 1$ -- both satisfy the conformal limits -- after the dilaton limit fixed point at high density but the matter is still in the hadronic phase. This means that neither the conformal speed of sound nor the smallness of the polytropic index can be used as a criterion of the onset of quark matter. These conclusions are significant for constructing the equation of state of nuclear matter.
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