Studies of Correlations in the Critical Domain of the $SU(2)$ Gluodynamics

E.A.Kozlovsky; N.V.Gerasimeniuk; R.N.Rogalyov; V.G.Bornyakov; V.K.Mitrjushkin

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Studies of Correlations in the Critical Domain of the $SU(2)$ Gluodynamics

R.N.Rogalyov, V.G.Bornyakov, N.V.Gerasimeniuk, E.A.Kozlovsky, V.K.Mitrjushkin

High Energy Physics - Lattice · Submitted 16 Jan 2023

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim By considering the example of $SU(2)$ gluodynamics, we check numerically the idea that the strong correlation of the Polyakov loop with the longitudinal gluon propagator and related quantities can be used to substantially reduce the finite-volume effects as well as to extrapolate in temperature over the critical domain.

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arXiv ID2301.06547 (version 1)

Pith IDK2UTIVN5, Pith's permanent record of this paper and its review

CitationE.A.Kozlovsky, N.V.Gerasimeniuk, R.N.Rogalyov, V.G.Bornyakov, V.K.Mitrjushkin. "Studies of Correlations in the Critical Domain of the $SU(2)$ Gluodynamics." arXiv:2301.06547 (2023). https://pith.science/paper/K2UTIVN5

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.08 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.14 · mentions code or data availability 0.02.

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By considering the example of $SU(2)$ gluodynamics, we check numerically the idea that the strong correlation of the Polyakov loop with the longitudinal gluon propagator and related quantities can be used to substantially reduce the finite-volume effects as well as to extrapolate in temperature over the critical domain.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	By considering the example of $SU(2)$ gluodynamics, we check numerically the idea that the strong correlation of the Polyakov loop with the longitudinal gluon propagator and related quantities can be used to substantially reduce the finite-volume effects as well as to extrapolate in temperature over the critical domain.	contribution 0.97	0.90	0.61	hedged possibility 0.63

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Original abstract

By considering the example of $SU(2)$ gluodynamics, we check numerically the idea that the strong correlation of the Polyakov loop with the longitudinal gluon propagator and related quantities can be used to substantially reduce the finite-volume effects as well as to extrapolate in temperature over the critical domain.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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Uses data or values from 2 papers

Asymptotic behavior of this function in the infinite-volume limit has the form 𝐩_V(τ) = Cτ^b + O(τ^b+ων), τ→0_+ where $b≈0.326419$ [ref] , for more details see [ref] .

Precision Islands in the Ising and $O(N)$ Models · Description of Data Transformation · 0.94
Asymptotic behavior of this function in the infinite-volume limit has the form 𝐩_V(τ) = Cτ^b + O(τ^b+ων), τ→0_+ where $b≈0.326419$ [ref] , for more details see [ref] .

The Calculation of Critical Amplitudes in SU(2) Lattice Gauge Theory · Description of Data Transformation · 0.94

Cites as background 1 paper

Its definition can be found, e.g. in [ref] .

The $A^2$ asymmetry and propagators in lattice $SU(2)$ gluodynamics at $T>T_c$ · Definitions and simulation details · 0.84

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