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arXiv 0709.3080hep-phastro-phhep-thnucl-th
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手征对称但封闭的致密冷物质

Chirally symmetric but confining dense and cold matter

L. Ya. Glozman, R. F. Wagenbrunn

摘要:

关于QCD相图的民间传统认为,在有限密度的手征恢复相变时,强子被退禁闭,出现夸克物质。我们解决这个问题的唯一已知的精确可解的限制和手性对称模型。该模型假定存在线性类库仑约束相互作用。手征对称性破缺和夸克格林函数由Schwinger-Dyson(gap)方程得到,色单重态介子谱由Bethe-Salpeter方程得到。在T=0和有限化学势$μ$下求解该模型,得到了在临界值μ_{cr}处清晰的手征恢复相变。低于此值时,光谱与先前在μ= 0时获得的光谱相似。当μ> μ_{cr}时,夸克仍然被限制,物理谱由束缚态组成,束缚态排列成一组完整的手征多重态。这清楚地表明,在QCD中,由有限化学势的受限但手征对称的强子组成的手征对称物质也是可能的。如果是这样的话,那么它对天体物理学的意义就非比寻常了。

英文摘要:

The folklore tradition about the QCD phase diagram is that at the chiral restoration phase transition at finite density hadrons are deconfined and there appears the quark matter. We address this question within the only known exactly solvable confining and chirally symmetric model. It is postulated within this model that there exists linear Coulomb-like confining interaction. The chiral symmetry breaking and the quark Green function are obtained from the Schwinger-Dyson (gap) equation while the color-singlet meson spectrum results from the Bethe-Salpeter equation. We solve this model at T=0 and finite chemical potential $μ$ and obtain a clear chiral restoration phase transition at the critical value μ_{cr}. Below this value the spectrum is similar to the previously obtained one at μ= 0. At μ> μ_{cr} the quarks are still confined and the physical spectrum consists of bound states which are arranged into a complete set of exact chiral multiplets. This explicitly demonstrates that a chirally symmetric matter consisting of confined but chirally symmetric hadrons at finite chemical potential is also possible in QCD. If so, there must be nontrivial implications for astrophysics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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