论文标题
陌生性在手性中的作用和$ u(1)_a $恢复
The role of strangeness in chiral and $U(1)_A$ restoration
论文作者
论文摘要
我们在isospin 1/2频道中,我们将最近派生的病房身份和晶格数据用于光和奇怪的Quark冷凝物来重建标量和伪calsceptibils($χ_s^κ$,$χ_p^k $)。我们表明,$χ_s^κ$在QCD手性转变以上产生了最大值,然后以$χ_p^k $退化。当它在有限温度下单位化的手性扰动理论(UCHPT)中,我们还获得了$χ_s^κ$,当它与$ K_0^*(700)$(或$κ$)梅森饱和时,它是ISOSPIN 1/2标量的$πk$πk$散射的主要低能状态。这种UCHPT结果再现了预期的峰结构,揭示了热相互作用的重要性,并可以检查$χ_s^κ$依赖于光和奇怪的夸克质量。由$ m_l/m_s $比率控制的一致图片允许一个学习$ K-κ$变性,手性,两种风味和$ su(3)$限制。这些结果为$ o(4)\ times u(1)_a $恢复提供了一个替代标志,可以在晶格模拟中探索,并突出奇怪的作用,奇怪的角色受到奇怪的Quark冷凝水的调节,有助于调和有关$ U(1)_a $ restoration $ u(1)_a $恢复的晶格结果之间的当前张力。
We use recently derived Ward identities and lattice data for the light- and strange-quark condensates to reconstruct the scalar and pseudoscalar susceptibilities ($χ_S^κ$, $χ_P^K$) in the isospin 1/2 channel. We show that $χ_S^κ$ develops a maximum above the QCD chiral transition, after which it degenerates with $χ_P^K$. We also obtain $χ_S^κ$ within Unitarized Chiral Perturbation Theory (UChPT) at finite temperature, when it is saturated with the $K_0^*(700)$ (or $κ$) meson, the dominant lowest-energy state in the isospin 1/2 scalar channel of $πK$ scattering. Such UChPT result reproduces the expected peak structure, revealing the importance of thermal interactions, and makes it possible to examine the $χ_S^κ$ dependence on the light- and strange-quark masses. A consistent picture emerges controlled by the $m_l/m_s$ ratio that allows one studying $K-κ$ degeneration in the chiral, two-flavor and $SU(3)$ limits. These results provide an alternative sign for $O(4)\times U(1)_A$ restoration that can be explored in lattice simulations and highlight the role of strangeness, which regulated by the strange-quark condensate helps to reconcile the current tension among lattice results regarding $U(1)_A$ restoration.