论文标题
磁场引起的各向异性相互作用在重夸克结合状态下
Magnetic field-induced anisotropic interaction in heavy quark bound states
论文作者
论文摘要
我们已经调查了一个强磁场（B）如何在重型夸克（$ Q $）和Antiquark（$ \ bar Q $）中通过扰动的热量QCD在实时形式上解密各向异性相互作用。因此，我们为LLL中的夸克和Feynman繁殖器中的Schwinger繁殖器热量，以计算Gluon自能量。对于夸克环对自能的贡献，培养基没有任何温度校正，真空项产生各向异性项，而gluon-loop则产生温度校正。在夸克环的贡献中，这一发现证实了（1+1）二维中无质量的QED与强B中的无质量热QCD的等效性，在强B中，（夸克部门）将其降低至（1+1） - 数量（纵向）。因此，介质的介电常数就像张量一样。因此，培养基的介电性使$ q \ bar q $潜在各向异性与晶格研究中发现的现代结果相似。结果，$ q \ bar q $ - 横向与B的横向对齐比平行对齐更具吸引力。但是，由于筛选质量的软化，与B = 0相比，潜力总是更具吸引力。但是，与B = 0相比，电势的假想零件变小。接下来，我们研究了强$ {\ bf b} $对绑定能量（b.e。）和热宽度（$γ$）的$ c \ bar c $和$ b \ bar b $的粘合宽度（$γ$）的影响，而与时间无关的扰动理论，在绑定能量会增加，而限制能量会增加，而hitths则减少，相比之下。最终，我们研究了强大的B中的绑定状态的准无数量解离，估计为$ j/ψ$和$购$状态的分离温度为$ 1.59 \ rm {t_c} $和$ 2.22 \ rm {t_c} $的分别比b = 0 $ bar = 0 $ quationde $ b = 0 $ qunditiate b = 0 $ quy b = 0 $ quy b = 0 $ quy b = 0 $ quationde $ quangiate。
We have investigated how a strong magnetic field (B) could decipher the anisotropic interaction in heavy quark ($Q$) and antiquark ($\bar Q$) bound states through the perturbative thermal QCD in real-time formalism. So we thermalize Schwinger propagator for quarks in LLL and the Feynman propagator for gluons to calculate the gluon self-energy. For the quark-loop contribution to the self-energy, the medium does not have any temperature correction and the vacuum term gives rise an anisotropic term whereas the gluon-loop yields temperature correction. This finding in quark-loop contribution corroborates the equivalence of a massless QED in (1+1)-dimension with the massless thermal QCD in strong B, which (quark sector) is reduced to (1+1)-dimension (longitudinal). Thus the permittivity of the medium behaves like as a tensor. Thus the permittivity of medium makes the $Q \bar Q$ potential anisotropic, which resembles with a contemporary results found in lattice studies. As a result, potential for $Q \bar Q$-pairs aligned transverse to B is more attractive than parallel alignment. However, potential is always more attractive compared to B=0 due to softening of screening mass. However, the imaginary-part of potential becomes smaller compared to B=0. We have next investigated the effects of strong ${\bf B}$ on binding energies (B.E.) and thermal widths ($Γ$) of ground states of $c \bar c$ and $b \bar b$ in a time-independent perturbation theory, where binding energies gets increased and widths gets decreased, compared to $B =0$. Finally we have studied the quasi-free dissociation of bound states in a strong B. The dissociation temperatures estimated for $J/ψ$ and $Υ$ states are obtained as $1.59 \rm{T_c} $ and $2.22 \rm{T_c}$, respectively, which are higher than the estimate in B=0 , thus preventing early dissolution of $Q \bar Q$ bound states.
