论文标题
阳米尔斯理论和一阶相变的状态方法的密度
The density of states method in Yang-Mills theories and first order phase transitions
论文作者
论文摘要
在早期宇宙中导致一阶相变的标准模型的扩展可以产生重力波的随机背景，这可能是未来检测器可访问的。可以通过晶格模拟确定过渡时的热力学可观察物，例如潜热，然后用来预测给定理论中的预期特征。在晶格计算中，转变接近的转移性的出现可能使这些可观察物的精确确定非常具有挑战性，并且可能导致大型不受控制的数值错误。在这一贡献中，我们将作为原型晶格计算进行讨论，在强SU（3）Yang-Mills扇区中产生的第一阶解解式转变。我们采用了新型的对数线性弛豫方法，该方法可以通过指数抑制置于指数误差来确定系统状态的密度。热力学可观察物可以通过受控误差重建，为将来的准确模型预测提供了有希望的方向。
Extensions of the standard model that lead to first-order phase transitions in the early universe can produce a stochastic background of gravitational waves, which may be accessible to future detectors. Thermodynamic observables at the transition, such as the latent heat, can be determined by lattice simulations, and then used to predict the expected signatures in a given theory. In lattice calculations, the emergence of metastabilities in proximity of the phase transition may make the precise determination of these observables quite challenging, and may lead to large uncontrolled numerical errors. In this contribution, we discuss as a prototype lattice calculation the first order deconfinement transition that arises in the strong SU(3) Yang-Mills sector. We adopt the novel logarithmic linear relaxation method, which can provide a determination of the density of states of the system with exponential error suppression. Thermodynamic observables can be reconstructed with a controlled error, providing a promising direction for accurate model predictions in the future.
