相对论性场论中的强波与弱波- turbulence
Strong versus weak wave-turbulence in relativistic field theory
摘要：
非热标度现象可以表现出对空间维数d的特征依赖性。对于d=3和4，我们模拟一个相对论标量场的格子和计算湍流标度指数。我们恢复Kolmogorov或弱波湍流的扰动高动量区，它表现出的标度指数kappa_w = d - 3/2。在非微扰红外区，当d=3（4）时，我们发现一个不同的标度指数kappa_s = 4（5），这与最近预测的强湍流的极大值kappa_s = d + 1相一致。我们展示了如何后者可以被看作是一个保守的有效粒子数的静态运输的特点。
英文摘要：
Nonthermal scaling phenomena can exhibit a characteristic dependence on the dimensionality d of space. For d=3 and 4 we simulate a relativistic scalar field theory on a lattice and compute turbulent scaling exponents. We recover Kolmogorov or weak wave-turbulence in the perturbative high-momentum regime, where it exhibits the scaling exponent kappa_w = d - 3/2. In the nonperturbative infrared regime, we find a different scaling exponent kappa_s = 4 (5) for d=3 (4), which is in agreement with the recently predicted anomalously large values kappa_s = d + 1 of strong turbulence. We show how the latter can be seen to characterize stationary transport of a conserved effective particle number.
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