论文标题
热拓扑密度光谱函数的形状
Shape of the hot topological charge density spectral function
论文作者
论文摘要
在激发了热阳米尔斯理论中拓扑电荷密度光谱函数的形状兴趣之后，我们在$ n _ {\ rm c} = 2,3 $的帮助下估计了它。在大频率下减去扰动贡献后，我们观察到在小频率（浸入而不是峰值）下的非平凡形状，在零频率下朝着Sphaleron速率平滑插值。讨论了以这种形状出现的可能的频率尺度。概括了对温暖的斧头通货膨胀和加热的影响，以及对强SPHALERON速率的假想时间晶格测量的含义。
After motivating an interest in the shape of the topological charge density spectral function in hot Yang-Mills theories, we estimate it with the help of thermally averaged classical real-time simulations, for $N_{\rm c} = 2,3$. After subtracting a perturbative contribution at large frequencies, we observe a non-trivial shape at small frequencies (a dip rather than a peak), interpolating smoothly towards the sphaleron rate at zero frequency. Possible frequency scales making an appearance in this shape are discussed. Implications for warm axion inflation and reheating, and for imaginary-time lattice measurements of the strong sphaleron rate, are recapitulated.
