论文标题
连续体SU（3）Yang-Mills理论的精确研究：如何使用平行回火来改善一阶相变的超临界速度
Precision study of the continuum SU(3) Yang-Mills theory: how to use parallel tempering to improve on supercritical slowing down for first order phase transitions
论文作者
论文摘要
我们执行大型模拟以表征淬灭QCD中的过渡。通过严格的有限尺寸缩放显示，过渡是一阶的。 After this qualitative feature quantitative results are obtained with unprecedented precision: we calculate the transition temperature $w_0T_c$=0.25384(23), -- which is the first per-mill accurate result in QCD thermodynamics -- and the latent heat $ΔE/T_c^4$=1.025(21)(27) in both cases carrying out controlled continuum and infinite volume extrapolations.众所周知，晶格模拟的成本在相变附近爆炸，这一现象称为临界速度减慢二阶相变的速度，超临界速度减慢了一阶相变的速度。我们表明，Marinari和Parisi [Europhys的平行回火算法的概括。 Lett。最初用于自旋系统的19，451（1992）]也可以有效克服这些困难，即使过渡是一阶的，例如没有夸克的QCD或非常沉重的夸克。我们还报告了有关自相关时间和其他细节的调查。
We perform large scale simulations to characterize the transition in quenched QCD. It is shown by a rigorous finite size scaling that the transition is of first order. After this qualitative feature quantitative results are obtained with unprecedented precision: we calculate the transition temperature $w_0T_c$=0.25384(23), -- which is the first per-mill accurate result in QCD thermodynamics -- and the latent heat $ΔE/T_c^4$=1.025(21)(27) in both cases carrying out controlled continuum and infinite volume extrapolations. As it is well known the cost of lattice simulations explodes in the vicinity of phase transitions, a phenomenon called critical slowing down for second order phase transitions and supercritical slowing down for first order phase transitions. We show that a generalization of the parallel tempering algorithm of Marinari and Parisi [Europhys. Lett. 19, 451 (1992)] originally for spin systems can efficiently overcome these difficulties even if the transition is of first order, like in the case of QCD without quarks, or with very heavy quarks. We also report on our investigations on the autocorrelation times and other details.
