The Sphaleron Rate from 4D Euclidean Lattices

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 $T<1.3T_{\mathrm{c}}$) are also discussed.

32 pages, 14 figures, 2 tables. Updated to JHEP version

References in corpus (8)

• The Chiral Magnetic Effect
• Infinite N phase transitions in continuum Wilson loop operators
• The Sphaleron Rate in SU(N) Gauge Theory
• Critical point and scale setting in SU(3) plasma: An update
• The perturbative QCD gradient flow to three loops
• Thermal quarkonium physics in the pseudoscalar channel
• The sphaleron rate from Euclidean lattice correlators: an exploration
• Lattice QCD noise reduction for bosonic correlators through blocking

Cited by in corpus (5)

• Maximal temperature of strongly-coupled dark sectors
• Dynamical chirality production in one dimension
• Energy and momentum dependence of the soft-axion interaction rate
• Lattice study of the critical bubble in $\mathrm{SU}(8)$ deconfinement transition
• Constraining $A\to ZH$ with $H\to t\bar{t}$ in the Low-Mass Region