Shape of the hot topological charge density spectral function

M. Laine (AEC, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, Bern, CH-3012, Switzerland) ; L. Niemi (Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai, 200240, China; Department of Physics and Helsinki Institute of Physics, University of Helsinki, FI-00014, Finland) ; S. Procacci (AEC, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, Bern, CH-3012, Switzerland) ; K. Rummukainen (Department of Physics and Helsinki Institute of Physics, University of Helsinki, FI-00014, Finland)

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 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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Published on:
21 November 2022
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2022 (2022)
Issue 11
Pages 1-22
DOI:
https://doi.org/10.1007/JHEP11(2022)126
arXiv:
2209.13804
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: