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arXiv 0908.3079hep-lat
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有限温度下格点量子色动力学中夸克的光谱性质

Spectral Properties of Quarks at Finite Temperature in Lattice QCD

Masakiyo Kitazawa, Frithjof Karsch

摘要:

我们分析了猝灭格点量子色动力学中夸克在解除禁闭的临界温度上下和有限动量时的谱函数。结果表明,在临界温度附近的退禁闭相中,时间夸克关联函数可以用谱函数的双极近似很好地再现。利用该方法分析了谱函数对裸夸克质量和动量的依赖性。在手征极限下,我们发现即使在临界温度附近,夸克谱函数也有两个集体模,对应于高温极限下的正常激发和等离子体激发。这些模在零动量时的极质量,应该被认为是夸克的热质量,在退禁闭相的相当宽的T范围内近似与T成比例。

英文摘要:

We analyze the quark spectral function above and below the critical temperature for deconfinement and at finite momentum in quenched lattice QCD. It is found that the temporal quark correlation function in the deconfined phase near the critical temperature is well reproduced by a two-pole ansatz for the spectral function. The bare quark mass and momentum dependences of the spectral function are analyzed with this ansatz. In the chiral limit we find that even near the critical temperature the quark spectral function has two collective modes corresponding to the normal and plasmino excitations in the high temperature (T) limit. The pole mass of these modes at zero momentum, which should be identified to be the thermal mass of the quark, is approximately proportional to T in a rather wide range of T in the deconfined phase.

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