有限温度格点规范理论中有效弦的普适签名
Universal signatures of the effective string in finite temperature lattice gauge theories
摘要：
我们研究了格点规范理论中的夸克间势在高温下的行为，但仍处于限制阶段，并提出了一个新的可观察到的，它可以在这个制度中发挥相同的作用所发挥的Luscher项在低温极限。这个量与有效弦配分函数中的幂前因子的指数有关，或者等价地与夸克间势中的对数修正系数有关。对于通常的Luscher项，它的值不依赖于所考虑的特定规范群，也不依赖于用于模拟通量管的有效弦作用量的形式。在这方面，它可以被认为是一个通用的签名的有效字符串行为的通量管。为了验证我们的建议，我们在（2+1）维SU（2），SU（3）和SU（4）Yang-Mills理论以及Z_2规范模型中对这个量进行了一系列高精度的数值模拟，结果与理论预测值完全一致。
英文摘要：
We study the behaviour of the interquark potential in lattice gauge theories at high temperature, but still in the confining phase, and propose a new observable which could play in this regime the same role played by the Luscher term in the low temperature limit. This quantity is related to the exponent of the power prefactor in the effective string partition function or, equivalently, to the coefficient of the logarithmic correction in the interquark potential and, as for the usual Luscher term, its value does not depend on the particular gauge group under consideration or on the form of the effective string action used to model the flux tube. In this respect it can be considered as a universal signature of the effective string behaviour of the flux tube. As a test of our proposal we studied this quantity with a set of high-precision numerical simulations in the (2+1) dimensional SU(2), SU(3) and SU(4) Yang-Mills theories and in the Z_2 gauge model, always finding a perfect agreement with the predicted values.
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