arXiv 2212.024302022-12hep-phhep-exhep-lat

非零温度与重子化学势下K介子的性质

Properties of kaon at non-zero temperature and baryon chemical potential

G. Bozkır, A. Türkan, K. Azizi

备注：: 12 Pages, 8 Figures and 3 Tables

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AI总结：

本文在热和密集QCD框架下，通过包含至质量维度五的非微扰算符计算K介子谱性质，发现其质量和衰变常数随重子化学势与温度变化呈现显著的非单调依赖关系。

摘要：

我们在热和密集QCD框架下研究了奇异粒子K介子的谱性质。为此，我们首先求得了微扰谱密度，它与温度$T$和重子化学势$μ_{B}$均相关。我们将作为温度和重子化学势函数的非微扰算符纳入计算，直至质量维度五。我们在动量空间中进行计算，并使用了热和密集介质中的夸克传播子。在非零温度和重子化学势下的数值结果表明，在固定温度下（包括零温和非零温），随着重子化学势的增加，粒子质量显著上升，直至约$μ_{B}=0.4$ GeV。越过该点后，质量随重子化学势的增加开始下降，并在有限温度下于$μ_{B}=(1.03-1.15)$ GeV处明显消失：随着温度升高，明显消失的点向更低的重子化学势移动。在零温下，质量在较高重子化学势时达到大致固定的值。另一方面，衰变常数在重子化学势增至约$μ_{B}=0.4$ GeV前显著减小，但越过该点后，在有限温度下它随重子化学势开始增加。在$T=0$时，衰变常数在较高化学势下也达到固定值。关于温度依赖性，我们观察到在固定的重子化学势下，质量和衰变常数分别在$T=50$ MeV和$T=70$ MeV前大致保持不变，但越过这些点后，质量开始下降而衰变常数开始上升，直至临界温度$T=155$ MeV，变化十分显著。

英文摘要：

We investigate the spectroscopic properties of the strange particle kaon in the framework of hot and dense QCD. To this end, first, we find the perturbative spectral density, which is connected with both the temperature $T$ and the baryon chemical potential $μ_{B}$. We include the non-perturbative operators as functions of temperature and baryon chemical potential up to mass dimension five. We perform the calculations in momentum space and use the quark propagator in the hot and dense medium. The numerical results at non-zero temperature and baryon chemical potential demonstrate that the mass of the particle rises considerably by increasing the baryon chemical potential at a fixed temperature (for both the zero and non-zero temperatures) up to approximately $μ_{B}=0.4$ GeV. After this point, it starts to fall by increasing the baryon chemical potential and it apparently vanishes at $μ_{B}=(1.03-1.15)$ GeV for finite temperatures: The point of apparent vanishing moves to lower baryon chemical potentials by increasing the temperature. At zero temperature, the mass reaches to roughly a fixed value at higher baryon chemical potentials. On the other hand, the decay constant decreases considerably with respect to baryon chemical potential up to roughly $μ_{B}=0.4$ GeV, but after this point, it starts to increase in terms of the baryon chemical potential at finite temperatures. At $T=0$, the decay constant reaches to a fixed value at higher chemical potentials, as well. Regarding the dependence on the temperature we observe that, at fixed values of baryon chemical potentials, the mass and decay constant remain roughly unchanged up to $T=50$ MeV and $T=70$ MeV respectively, but after these points, the mass starts to fall and the decay constant starts to rise up to a critical temperature $T=155$ MeV, considerably.

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