热拓扑电荷密度谱函数的形状
Shape of the hot topological charge density spectral function
摘要:
激发兴趣的拓扑电荷密度谱函数在热杨米尔斯理论的形状后,我们估计它的帮助下,热平均的经典实时模拟,为$N_{\rm c} = 2,3$。在减去大频率的微扰贡献后,我们观察到一个非平凡的形状在小频率(下降,而不是一个峰值),插值顺利向sphaleron率在零频率。可能的频率尺度,使在这种形状的外观进行了讨论。温暖的轴子通货膨胀和再加热,并为强sphaleron率的瞬时晶格测量的影响,概括。
英文摘要:
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.
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