Holonomy potential and confinement from a simple model of the gauge topology

E. Shuryak; T. Sulejmanpasic

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Holonomy potential and confinement from a simple model of the gauge topology

E. Shuryak, T. Sulejmanpasic

High Energy Physics - Phenomenology · Submitted 3 May 2013

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

The authors' main claim Using a simple model with excluded volume and lattice data on caloron density we find that repulsive part of the potential is robust enough to induce the phase transition at the right temperature.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.93 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.14 · compares with prior results 0.85 · mentions code or data availability 0.02.

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We discuss an ensemble of topological solitons -- instanton-dyons and antidyons - in SU(2) pure gauge theory at finite temperatures above and below the deconfinement phase transition temperature. The main focus is on the combined effect of this ensemble on the so called effective holonomy potential, which drives the confinement/deconfinement phase transition. Using a simple model with excluded volume and lattice data on caloron density we find that repulsive part of the potential is robust enough to induce the phase transition at the right temperature. Model's predictions -- the holonomy potential, electric and magnetic screening masses as a function of T -- are in qualitative agreement with the available lattice data. Further predictions are densities of various dyon types as a function of temperature: while some lattice measurements of them had been made, much more accurate data are needed to test these predictions.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We discuss an ensemble of topological solitons -- instanton-dyons and antidyons - in SU(2) pure gauge theory at finite temperatures above and below the deconfinement phase transition temperature.	background 0.55	0.31	0.03	asserted 0.80
s1	The main focus is on the combined effect of this ensemble on the so called effective holonomy potential, which drives the confinement/deconfinement phase transition.	contribution 0.94	0.37	0.10	asserted 0.88
s2	Using a simple model with excluded volume and lattice data on caloron density we find that repulsive part of the potential is robust enough to induce the phase transition at the right temperature.	result 0.96	0.95	0.70	asserted 0.99
s3	Model's predictions -- the holonomy potential, electric and magnetic screening masses as a function of T -- are in qualitative agreement with the available lattice data.	result 0.98	0.79	0.17	asserted 0.76
s4	Further predictions are densities of various dyon types as a function of temperature: while some lattice measurements of them had been made, much more accurate data are needed to test these predictions.	future work 0.76	0.62	0.04	asserted 0.70

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from simulation or computation 0.67.

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The paper

Original abstract

We discuss an ensemble of topological solitons -- instanton-dyons and antidyons - in SU(2) pure gauge theory at finite temperatures above and below the deconfinement phase transition temperature. The main focus is on the combined effect of this ensemble on the so called effective holonomy potential, which drives the confinement/deconfinement phase transition. Using a simple model with excluded volume and lattice data on caloron density we find that repulsive part of the potential is robust enough to induce the phase transition at the right temperature. Model's predictions -- the holonomy potential, electric and magnetic screening masses as a function of T -- are in qualitative agreement with the available lattice data. Further predictions are densities of various dyon types as a function of temperature: while some lattice measurements of them had been made, much more accurate data are needed to test these predictions.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups
hep-th 2014-06 conditional novelty 5.0 of 10

For every simple gauge group except SU(2), softly broken N=1 super Yang-Mills on a small circle undergoes a first-order transition as the gaugino mass grows, mirroring thermal deconfinement in pure Yang-Mills.
Phase diagram of Yang-Mills theories in the presence of a theta term
hep-lat 2013-06 accept novelty 5.0 of 10

The deconfinement temperature of SU(3) Yang-Mills falls quadratically with the topological theta angle, with continuum curvature R_theta = 0.0178(5), confirmed by two independent lattice methods.
New Methods in QFT and QCD: From Large-N Orbifold Equivalence to Bions and Resurgence
hep-th 2016-01 conditional novelty 3.0 of 10

The paper argues that large-N orbifold equivalence, volume independence, magnetic and neutral bions, Picard-Lefschetz complexification, and resurgence form one continuous chain that makes non-perturbative QCD tractabl...

How the literature uses it

20 arXiv papers cite this in 31 sentences

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Papers citing it · 22 sentences without a confident label

Uses its method or tool 1 paper

Therefore, we follow [ref] and represent the grand partition function for the ensemble as follows

Dynamical de Sitter phase and nontrivial holonomy in strongly coupled gauge theories in expanding Universe · The grand canonical ensemble of monopoles with nontrivial holonomy ([ref]) · 0.93

Uses its data or values 1 paper

The fit shown in Fig.1 of Ref. [ref] corresponds to non-interacting gas of calorons, and it give Λ_calorons = 0.36 T_c where $T_c$ is the deconfinement transition temperature, defined in the same lattice work.

Interacting Ensemble of the Instanton-dyons and Deconfinement Phase Transition in the SU(2) Gauge Theory · Units and holonomy · 1.00

Compares with it 1 paper

M:e^-b-iσ L:e^b+iσ M̅: e^-b+iσ L̅ :e^b-iσ Note that these assignments are consistent with those suggested in [ref] using different arguments.

Light Quarks in the Screened Dyon-Anti-Dyon Coulomb Liquid Model II · Bosonic fields · 0.80

Cites it as background 6 papers

We review the relevant results from refs [ref] on this matter below in section [ref].

Dynamical de Sitter phase and nontrivial holonomy in strongly coupled gauge theories in expanding Universe · Nontrivial holonomy ([ref]) in Euclidean space. Few technical details. · 0.98
A very simple model of a de-confinement transition has been proposed by Shuryak and Sulejmanpasic [ref] through the use of dyon-antidyon “repulsive cores".

Light Quarks in the Screened Dyon-Anti-Dyon Coulomb Liquid Model II · Introduction · 0.96
For related works, see [ref] .

New Methods in QFT and QCD: From Large-N Orbifold Equivalence to Bions and Resurgence · Calculability and the Deconfinement Phase Transition · 0.94

What it cites · 12 sentences without a confident label

Uses data or values from 1 paper

For definiteness, we start with fixing global parameters of the $SU(2)$ gauge theory topology, using lattice works [ref] and [ref] .

The dyonic picture of topological objects in the deconfined phase · Introduction · 0.89

Compares with 1 paper

To conclude this section, let us mention that the potentials [ref] and [ref] are similar to the one discussed in [ref] for the case of pure Yang-Mills.

Continuity, Deconfinement, and (Super) Yang-Mills Theory · The holonomy potential · 0.93

Cites as background 7 papers

At nonzero asymptotic holonomy $A_0(r→∞)0$ the instanton solution is modified and as a result the instanton is split into $N_c$ constituents known as KvBLL self-dual instanton-dyons [ref] .

Monopoles and Instantons on Partially Compactified D-Branes · Introduction · 0.93
At nonzero asymptotic holonomy $A_0(r→∞)0$ the instanton solution is modified and as a result the instanton is split into $N_c$ constituents known as KvBLL self-dual instanton-dyons [ref] .

Monopole Constituents inside SU(n) Calorons · Introduction · 0.93
Interactions and statistical ensemble of instanton-dyons and antidyons have been studied qualitatively using neutral dyon-antidyon pairs in [ref] , recently complemented by first numerical simulations [ref] .

The Chiral Symmetry Breaking/Restoration in Dyonic Vacuum · Introduction · 0.89

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