Hadronic correlation functions in the random instanton-dyon ensemble

Larsen, Rasmus; Shuryak, Edward

doi:10.1103/physrevd.96.034508

Cited by 7 publications

(9 citation statements)

References 37 publications

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“…The authors of Ref. [7] concluded later in Ref. [8] that at very low temperature, the semiclassical description of the Yang-Mills state reconciles the instanton liquid model without confinement with the 't Hooft-Mandelstam proposal of confinement.…”

Section: Introductionmentioning

confidence: 94%

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Dynamical gluon mass at nonzero temperature in instanton vacuum model

2019

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In the framework of the instanton liquid model (ILM), we consider thermal modifications of gluon properties in different scenarios of temperature (T) dependence of the average instanton sizeρðTÞ and instanton density nðTÞ known from the literature. Due to interactions with instantons, the gluons acquire the dynamical temperature-dependent "electric" gluon mass M el ðq; TÞ. We find that at small momenta and zero temperature M el ð0; 0Þ ≈ 362 MeV for the phenomenological values ofρð0Þ ¼ 1=3 fm and nð0Þ ¼ 1 fm −4. However, the T dependence of the mass is very sensitive to the temperature dependence of the instanton vacuum parametersρðTÞ and nðTÞ: it is very mild in the case of the lattice-motivated dependence and decreases steeply in the whole range with theoretical parametrization. We find that the region 0 < T < T c ILM is able to reproduce lattice results for the dynamical gluon mass.

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Section: Introductionmentioning

confidence: 94%

“…The extension of the ILM that is able to describe the phase transition from a confined to a deconfined phase near the critical temperature T c is the so-called dyon-instanton liquid model [7]. The authors of Ref.…”

Section: Introductionmentioning

confidence: 99%

Dynamical gluon mass at nonzero temperature in instanton vacuum model

2019

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“…For some observables, such as hadronic correlation functions [25], this inon-binary forces seem to be necessary to achieve reasonable results.…”

Section: B Parameterization Of the Hopping Matrix Elementsmentioning

confidence: 99%

“…The determination of the chiral condensate depends a choice of interpolation function between different system sizes (25). Rather than interpolating between all three volumes, one could consider using just two of the volumes.…”

Section: Appendix B: Comparison Of Infinite-volume Extrapolationsmentioning

confidence: 99%

Chiral Symmetry Breaking and Confinement from an Interacting Ensemble of Instanton-dyons in Two-flavor Massless QCD

DeMartini,

Shuryak

2021

Preprint

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In this work we present the results from numerical simulations of an interacting ensemble of instanton-dyons in the SU (3) gauge group with N f = 2 flavors of massless quarks. Dynamical quarks are included via the effective interactions induced by the fermionic determinant evaluated in the subspace of topological zero modes. The eigenvalue spectrum of the Dirac operator is studied at different volumes to extract the chiral condensate and eigenvalue gap, with both observables providing consistent values of the chiral transition temperature Tc. We find that a sufficient density of dyons is responsible for generating the confining potential and breaking the chiral symmetry, both of which are compatible with second-order transitions.

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“…The model has been also extended to finite temperatures and densities [10][11][12][13][14][15][16].However at high temperatures the sQGP indicates that the nonperturbative thermal vacuum is even more complicated than we thought before. In recent years, the nonperturbative structure of QCD vacuum at finite temperatures has been seriously considered by Shuryak and Zahed [17][18][19], by whom the topological solitons in QCD, like instantons and dyons, have been thoroughly investigated, which reveals a topological structure of thermal QCD vacuum. The topology and vacuum is closely related to the confinement and chiral symmetry breaking.…”

Section: Introductionmentioning

confidence: 99%

The study of emergent properties of quarks in a confined or deconfined vacuum in Friedberg-Lee model

Shu

2018

J. Phys.: Conf. Ser.

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Abstract.The nontrivial vacuum structures and the corresponding emergent properties of quarks have been studied in Friedberg-Lee model at finite temperatures. It is indicated that before deconfinement the quarks emerge as bound states which represent hadron states. After deconfinement the quarks emerge as scattering correlated states which correspond to liquid states. IntroductionQuantum chromodynamics (QCD) is the fundamental theory of strong interaction. The study of the QCD vacuum is a very nontrivial issue in high energy and nuclear physics. The usual vacuum can be viewed as a kind of substance filled with condensations of quarks and gluons due to the nonperturbative nature of QCD. If there are valence quarks in the vacuum, those quarks will be confined in hadron states [1]. This is the usual confinement which can be viewed as an emergent phenomenon of quarks in the normal vacuum. However, according to the view of T. D. Lee, the vacuum is a real substance whose properties could be changed. In 1970s T. D. Lee had proposed "vacuum engineering" [2]. The central idea was to change the vacuum by heavy ion collisions and produce deconfined quarks and gluons. By heating the vacuum, which means by high energy collisions of heavy nuclei, the tremendous kinetic energy is converted to the heat energy of the fireball in the center region of the collision, where the vacuum condensations are melted and the quarks and gluons are deconfined. In the experiments of relativistic heavy ion collisions (RHIC) in Brookhaven National Lab (BNL), a new emergent state of quarks and gluons has finally formed in a small region of deconfined vacuum at high temperatures, which is called strongly interacting quark gluon plasma (sQGP) [3][4][5][6]. The collective flows in heavy ion collisions known as the radial and elliptic flow could be well described by ideal hydrodynamics which means the sQGP at RHIC is the most perfect liquid [7].Though sQGP has been produced by the RHIC, we still lack understanding about the nonperturbative vacuum of QCD. In the early years, like in 1970s, T. D. Lee used a phenomenological scalar field to describe the complicated nonperturbative features of QCD vacuum [2]. He has further introduced a phenomenological model which is called Friedberg-Lee (FL) model to study the confinement and hadron properties in the vacuum [1]. The model consists of quark fields interacting

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Hadronic correlation functions in the random instanton-dyon ensemble

Cited by 7 publications

References 37 publications

Dynamical gluon mass at nonzero temperature in instanton vacuum model

Dynamical gluon mass at nonzero temperature in instanton vacuum model

Chiral Symmetry Breaking and Confinement from an Interacting Ensemble of Instanton-dyons in Two-flavor Massless QCD

The study of emergent properties of quarks in a confined or deconfined vacuum in Friedberg-Lee model

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