强耦合SYM等离子体的早期能量损失
Early-Time Energy Loss in a Strongly-Coupled SYM Plasma
摘要：
利用AdS/CFT对应，对强耦合极大超对称杨-米尔斯等离子体中夸克的早期运动进行了解析研究。我们的方法提取的第一个热效应作为一个小扰动已知的夸克动力学在真空中，使用双膨胀，是有效的早期和（适度）超相对论夸克速度。我们发现夸克的能量损失率与先前导出的定态/晚期结果有很大不同：它的标度类似于T^4而不是T^2，并且与摩擦系数相关，而摩擦系数与夸克动量无关。在RHIC获得的代表夸克-胶子等离子体的条件下，早期的能量损失率比晚期的能量损失率小几倍。我们的分析还导致热校正的表达式的固有能量和动量的夸克，其中以前发现的夸克的极限速度被发现自然出现。
英文摘要：
We carry out an analytic study of the early-time motion of a quark in a strongly-coupled maximally-supersymmetric Yang-Mills plasma, using the AdS/CFT correspondence. Our approach extracts the first thermal effects as a small perturbation of the known quark dynamics in vacuum, using a double expansion that is valid for early times and for (moderately) ultrarelativistic quark velocities. The quark is found to lose energy at a rate that differs significantly from the previously derived stationary/late-time result: it scales like T^4 instead of T^2, and is associated with a friction coefficient that is not independent of the quark momentum. Under conditions representative of the quark-gluon plasma as obtained at RHIC, the early energy loss rate is a few times smaller than its late-time counterpart. Our analysis additionally leads to thermally-corrected expressions for the intrinsic energy and momentum of the quark, in which the previously discovered limiting velocity of the quark is found to appear naturally.
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