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arXiv · 2209.13804

Shape of the hot topological charge density spectral function

M. Laine·L. Niemi·S. Procacci·K. Rummukainen
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Abstract

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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M. Laine, L. Niemi, S. Procacci, K. Rummukainen. 2022-09-28. Shape of the hot topological charge density spectral function. https://doi.org/10.1007/jhep11(2022)126

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