Sphaleron rate from Euclidean lattice correlators: An exploration

Altenkort, Luis; Eller, Alexander M.; Kaczmarek, Olaf; Mazur, Lukas; Shu, Hai-Tao

doi:10.1103/physrevd.103.114513

Cited by 34 publications

(24 citation statements)

References 51 publications

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“…The spectral reconstruction is not only an underdetermined integral inversion problem, but in order to obtain useful estimates for the spectral function one needs high-precision correlator data, which makes it utterly necessary to implement some kind of noise reduction technique on the lattice. In recent publications [5,6] we have shown that gradient flow [7,8] is a solution which is not restricted to local actions and therefore applicable for ensembles with dynamical fermions.…”

Section: Introductionmentioning

confidence: 99%

Continuum extrapolation of the gradient-flowed color-magnetic correlator at $1.5\,T_c$

Altenkort,

Eller,

Kaczmarek

et al. 2021

Preprint

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In a recently published work we employ gradient flow on the lattice to extract the leading contribution of the heavy quark momentum diffusion coefficient in the heavy quark limit from calculations of a well-known two-point function of color-electric field operators. In this article we want to report the progress of calculating the recently derived color-magnetic correlator that encodes a finite mass correction to this transport coefficient. The calculations we present here are based on the same ensemble of quenched gauge configurations at 1.5 𝑇 𝑐 that we previously used for the color-electric correlator.

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Section: Introductionmentioning

confidence: 99%

Continuum extrapolation of the gradient-flowed color-magnetic correlator at $1.5\,T_c$

Altenkort,

Eller,

Kaczmarek

et al. 2021

Preprint

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“…( 3) with sufficient precision as the long-distance correlation is overshadowed by high-frequency gaugefield fluctuations even for tens of thousands of gauge configurations. The solution to this problem is gradient flow [11,12], which, unlike other gauge smoothing techniques, is applicable for gauge configurations of nonlocal actions (i.e., with dynamical fermions). Gradient flow also has additional benefits besides noise reduction, like nonperturbative renormalization and suppression of discretization artifacts [11].…”

Section: Diffusion Physics From Color-electric Correlationsmentioning

confidence: 99%

“…The idea of the flow method is to measure the correlator at many successive and not too large flow times, and then, after a continuum extrapolation at fixed flow time, to extrapolate back to the physical boundary which is at zero flow time. The details of this procedure are explained in reference [12].…”

Section: Diffusion Physics From Color-electric Correlationsmentioning

confidence: 99%

“…The technique to invert Eq. ( 2) and obtain ρ(ω) that is used in our recent study [12] makes use of theoretically motivated models that constrain the form of the spectral function in the low-and high-frequency regimes, which enables the extraction of the heavy quark momentum diffusion coefficient κ through a least-squares fit of the discrete correlator data. We will now give more detailed insights into the inevitable systematic uncertainties of this approach.…”

Section: Diffusion Physics From Color-electric Correlationsmentioning

confidence: 99%

“…Additionally we want to emphasize that the continuum-extrapolated correlator at nonzero flow time needs to be extrapolated to zero flow time before the spectral reconstruction, as otherwise Eq. ( 2) is invalid [12,14].…”

Section: Spectral Reconstructionmentioning

confidence: 99%

See 2 more Smart Citations

Spectral reconstruction details of a gradient-flowed color-electric correlator

Altenkort,

Eller,

Kaczmarek

et al. 2021

Preprint

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In a recently published work we provide a proof-of-concept of a novel method to extract the heavy quark momentum diffusion coefficient from color-electric correlators on the lattice using gradient flow. The transport coefficient can be found in the infrared limit of the corresponding spectral function which is reconstructed through perturbative model fits of the correlator data. In this proceedings report we want to give more detailed insights into the systematic uncertainties of this procedure and compare our results with other studies.

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The sphaleron rate from 4D Euclidean lattices

Mancha

2023

J. High Energ. Phys.

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We develop a new method to determine thermal activation rates, such as for bubble nucleation, topology change, 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 Tc, 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 Tc) are also discussed.

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Sphaleron rate from Euclidean lattice correlators: An exploration

Cited by 34 publications

References 51 publications

Continuum extrapolation of the gradient-flowed color-magnetic correlator at $1.5\,T_c$

Continuum extrapolation of the gradient-flowed color-magnetic correlator at $1.5\,T_c$

Spectral reconstruction details of a gradient-flowed color-electric correlator

The sphaleron rate from 4D Euclidean lattices

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