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arxiv 2312.15468 v1 pith:63UP473B submitted 2023-12-24 hep-lat hep-ph

Sphaleron rate as an inverse problem: a novel lattice approach

classification hep-lat hep-ph
keywords ratesphalerondensitylatticenoveladoptapproachbackus-gilbert
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute the sphaleron rate on the lattice. We adopt a novel strategy based on the extraction of the spectral density via a modified version of the Backus-Gilbert method from finite-lattice-spacing and finite-smoothing-radius Euclidean topological charge density correlators. The physical sphaleron rate is computed by performing controlled continuum limit and zero-smoothing extrapolations both in pure gauge and, for the first time, in full QCD.

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