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arXiv 1702.02875hep-phhep-latnucl-th
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单圈硬-热-圈微扰理论中弱磁化热稠密非精细QCD物质的压力

Pressure of a weakly magnetized hot and dense deconfined QCD matter in one-loop hard-thermal-loop perturbation theory

Aritra Bandyopadhyay, Bithika Karmakar, Najmul Haque, Munshi G. Mustafa

摘要:

我们考虑我们最近得到的一般结构的两个点(自能和传播子)功能的夸克和胶子在一个非平凡的背景下,如热浴和外部磁场。在此基础上,我们在弱场近似下计算了磁化热密退禁闭QCD物质的夸克和胶子的自由能和压力。对于热浴,我们使用硬热回路微扰理论(HTLpt)在有限的化学势的存在下。在弱场近似下,我们得到了QCD物质的压力,包括有和没有高温膨胀。高$T$展开的结果是完全解析的和规范无关的,但除了温度,化学势和外部磁场依赖于重整化标度。我们还讨论了在任意磁场下这类物质的QCD德拜质量的修正。在强场近似和弱场近似下,得到了德拜质量的解析表达式。结果表明,在夸克质量、温度和磁场强度这三个不同的尺度下,它呈现出一些有趣的特征。夸克和胶子自由能中出现的各种发散是通过适当的反项来调节的。在弱场近似下,压力的低温行为比高温行为更依赖于磁场。我们还讨论了与耦合中某些订单的过度计数相关的单循环HTLpt的具体问题。

英文摘要:

We consider our recently obtained general structure of two point (self-energy and propagator) functions of quarks and gluons in a nontrivial background like a heat bath and an external magnetic field. Based on this, here we have computed free energy and pressure of quarks and gluons for a magnetized hot and dense deconfined QCD matter in weak field approximation. For heat bath we have used hard thermal loop perturbation theory (HTLpt) in presence of finite chemical potential. For weak field approximations we have obtained the pressure of QCD matter, both with and without the high temperature expansion. The results with high $T$ expansions are completely analytic and gauge independent but depends on the renormalization scale in addition to the temperature, chemical potential and the external magnetic field. We also discuss the modification of QCD Debye mass of such matter for an arbitrary magnetic field. Analytic expressions for Debye mass are also obtained for both strong and weak field approximation. It is found to exhibit some interesting features depending upon the three different scales, i.e, the quark mass, temperature and the strength of the magnetic field. The various divergences appearing in the quark and gluon free energies are regulated through appropriate counter terms. In weak field approximation, the low temperature behavior of the pressure is found to strongly depend on the magnetic field than that at high temperature. We also discuss the specific problem with one-loop HTLpt associated with the over-counting of certain orders in coupling.

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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