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首页> 外文期刊>Physical review, D >Holographic computation of Wilson loops in a background with broken conformal invariance and finite chemical potential
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Holographic computation of Wilson loops in a background with broken conformal invariance and finite chemical potential

机译：威尔逊循环的全息计算与破损的保形不变性和有限化学潜力的背景中的背景下

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In this paper, we follow a “bottom-up” anti–de Sitter (AdS)/QCD approach to holographically probe the dynamics of a moving q q ˉ pair inside a strongly coupled plasma at the boundary. We consider a deformed AdS-Reissner Nordstr?m metric in the bulk in order to introduce nonconformality and finite quark density in the dual field theory. By boosting the gravity solution in a specific direction, we consider two extreme cases of orientation, parallel and perpendicular, for the Wilson loop, which in turn fixes the relative position of the q q ˉ pair with respect to the direction of boost in the plasma. By utilizing this setup, we holographically compute the vacuum expectation value of the timelike Wilson loop in order to obtain the real part of the q q ˉ potential, and the effects of nonconformality (deformation parameter c ), the chemical potential μ , and rapidity β are observed on this potential. We then compute the in-medium energy loss of the moving parton (jet quenching parameter q m ) by setting β → ∞ , which in turn makes the Wilson loop lightlike. We also use the jet quenching as an order parameter to probe the strongly coupled domain of the dual field theory. Finally, we compute the imaginary part of the q q ˉ potential [ Im ( V q q ˉ ) ] by considering the thermal fluctuation (arbitrary long wavelength) of the string world sheet. It is observed that for fixed values of the chemical potential and rapidity, an increase in the nonconformality parameter leads to an increase in the real and imaginary potentials as well as the jet quenching parameter.
机译：在本文中，我们遵循“自下而上”的反de Sitter（广告）/ QCD方法，以在边界处的强耦合等离子体内移动Q Qˉ对的动态探测。我们考虑了批量的变形广告reissner nordstr？M度量，以便在双场理论中引入非规定性和有限夸克密度。通过在特定方向上提升重力溶液，我们考虑两个极端情况，用于威尔逊环路的取向，平行和垂直，这反过来将Q Qˉ对相对于等离子体中的增压方向固定的相对位置。通过利用该设置，我们全面地计算时间威尔逊环路的真空预期值，以获得QQζ电位的实部，并且不合格性（变形参数c），化学电位μ和快速β的效果在这种潜力上观察到。然后，我们通过设置β→∞来计算移动Parton（喷射淬火参数Q m）的中等能量损失，这反过来又使威尔逊循环亮起。我们还使用喷射淬火作为订单参数来探测双场理论的强耦合域。最后，我们通过考虑弦世界表的热波动（任意长波长）来计算Q Q +电位[IM（v Qˉ）]的虚部。观察到，对于化学势和快速度的固定值，不合格参数的增加导致实部和虚部的增加以及喷射淬火参数。

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