有限温度pNRQCD中的自旋轨道势和庞加莱不变性
The spin-orbit potential and Poincaré invariance in finite temperature pNRQCD
摘要：
有限温度下的重夸克偶素一直是理论研究的热点，因为它为研究夸克-胶子等离子体提供了一个潜在的干净探针。最近的研究利用有效场论系统地研究了表征系统的能量尺度的层次结构。对于介质中的夸克偶素，其温度小于束缚态中的典型动量转移，但大于其能量，合适的有效场论是pNRQCD_HTL，其中能量或动量大于束缚能的自由度已被积分。预计热效应会打破庞加莱不变性，在零温度下，庞加莱不变性表现为有效场论的匹配系数之间的一组精确关系。本文计算了pNRQCD_HTL的自旋轨道势的首阶热修正，证明了庞加莱不变性确实被破坏了。
英文摘要：
Heavy quarkonium at finite temperature has been the subject of intense theoretical studies, for it provides a potentially clean probe of the quark-gluon plasma. Recent studies have made use of effective field theories to exploit in a systematic manner the hierarchy of energy scales that characterize the system. In the case of a quarkonium in a medium whose temperature is smaller than the typical momentum transfer in the bound state but larger than its energy, the suitable effective field theory is pNRQCD_HTL, where degrees of freedom with energy or momentum larger than the binding energy have been integrated out. Thermal effects are expected to break Poincaré invariance, which, at zero temperature, manifests itself in a set of exact relations between the matching coefficients of the effective field theory. In the paper, we evaluate the leading-order thermal corrections to the spin-orbit potentials of pNRQCD_HTL and show that Poincaré invariance is indeed violated.
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