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The Sphaleron Rate from 4D Euclidean Lattices
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abstract
We develop a new method to determine thermal activation rates, such as for bubble nucleation, topology change, \textsl{etc.}, using 4-dimensional Euclidean methods. This allows nonperturbative study on the lattice. We then investigate the strong sphaleron rate in pure-glue QCD at temperatures between 1.3 $\Tc$ and 1000 $T_\mathrm{c}$, making contact with previous results but extending them down close to the critical temperature. The extension to full QCD will be straightforward. Limitations of the proposal (the inability to compute a certain dynamical prefactor, puzzling large-volume behavior, and the inability to treat temperatures $T < 1.3 \, T_\mathrm{c}$) are also discussed.
Forward citations
Cited by 3 Pith papers
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Dynamics of nucleation in thermal phase transitions
The thermal nucleation rate is the transition-state estimate multiplied by one minus the re-crossing probability, and oscillons make that correction large.
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Real-time topological rate at non-zero momentum in quenched QCD
A first-principles lattice calculation in quenched QCD extracts the momentum-dependent topological rate and finds approximate linear growth of the on-shell rate with momentum.
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Revisiting the sphaleron and axion production rates in QCD at high temperatures
Lattice simulations give sphaleron rates in hot QCD plasmas and show axion production rates deviate from perturbative predictions at high temperatures.
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