Spectral density in the resonance region and analytic confinement

Kalloniatis, Alexander C.; Nedelko, Sergei N.; Smekal, Lorenz Johann Maria von

doi:10.1103/physrevd.70.094037

Cited by 8 publications

(11 citation statements)

References 41 publications

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“…Note also that such a mean width is essentially different from both the linear mass dependence of string models [36] and from an exponential form of the nonlocal field theoretical models [37]. Nevertheless, as we demonstrate …”

Section: Analysis Of the Fwm Spectrummentioning

confidence: 74%

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Quark gluon bags as reggeons

2009

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The influence of the medium dependent finite width of quark gluon plasma (QGP) bags on their equation of state is analyzed within an exactly solvable model. It is argued that the large width of the QGP bags not only explains the observed deficit in the number of hadronic resonances, but also clarifies the reason why the heavy QGP bags cannot be directly observed as metastable states in a hadronic phase. The model allows us to estimate the minimal value of the width of QGP bags being heavier than 2 GeV from a variety of the lattice QCD data and get that the minimal resonance width at zero temperature is about 600 MeV, whereas the minimal resonance width at the Hagedorn temperature is about 2000 MeV. As shown, these estimates are almost insensitive to the number of the elementary degrees of freedom. The recent lattice QCD data are analyzed and it is found that besides σT 4 term the lattice QCD pressure contains T -linear and T 4 ln T terms in the range of temperatures between 240 MeV and 420 MeV. The presence of the last term in the pressure bears almost no effect on the width estimates. Our analysis shows that at high temperatures the average mass and width of the QGP bags behave in accordance with the upper bound of the Regge trajectory asymptotics (the linear asymptotics), whereas at low temperatures they obey the lower bound of the Regge trajectory asymptotics (the square root one). Since the model explicitly contains the Hagedorn mass spectrum, it allows us to remove an existing contradiction between the finite number of hadronic Regge families and the Hagedorn idea of the exponentially growing mass spectrum of hadronic bags.PACS: 25.75.-q,25.75.Nq Keywords: Hagedorn spectrum, finite width of quark-gluon bags, subthreshold suppression of bags

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Section: Analysis Of the Fwm Spectrummentioning

confidence: 74%

“…IV one can find the mean mass (37) for T ≥ c ± T H (or for m ≥ 0 ) to be equal to the most probable mass of bag from which one determines the resonance width:…”

Section: Asymptotic Behavior Of the Regge Trajectoriesmentioning

confidence: 99%

Quark gluon bags as reggeons

2009

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“…Calculated in terms of the same underlying quantum field theory, these also exhibit exponential growth in energy. This guar- antees that the spectral density is well-behaved over the region for which the Breit-Wigner ansatz is valid, as discussed in [5].…”

Section: Dynamical Confinement and Spectral Densitymentioning

confidence: 81%

“…This was calculated in [5] using several variations of the Breit-Wigner ansatz. The most obvious choice is where the decay-widths implicit in the ansatz are for on-shell bound states.…”

Section: Dynamical Confinement and Spectral Densitymentioning

confidence: 99%

“…In [4], we demonstrated the mechanism for generation of a non-vanishing chiral condensate and the simultaneous resolution of the U A (1) problem. Most recently, in [5] we studied the spectral density at moderately high energies in a toy model exhibiting analytic confinement and showed that a characteristic property of entire propagators is that resonance decay widths grow also exponentially and this suffices to suppress diverging behaviour in energy, at least in a regime where a Breit-Wigner type ansatz is still valid. It is this property of a sharp change from small widths of the few lowest resonances to very large decay widths for higher resonances which can enable analytic confinement to be experimentally distinguished from the string picture.…”

Section: Introductionmentioning

confidence: 98%

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High- and low-energy manifestations of confinement

Kalloniatis

Nedelko²

2005

Nuclear Physics B - Proceedings Supplements

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Quark–hadron duality in electron scattering

2005

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Abstract. Quark-hadron duality addresses some of the most fundamental issues in strong interaction physics, in particular the nature of the transition from the perturbative to non-perturbative regions of QCD. I summarize recent developments in quarkhadron duality in lepton-hadron scattering, and outline how duality can be studied at future high-luminosity facilities such as Jefferson Lab at 12 GeV or an electron-hadron collider such as EPIC. I INTRODUCTIONUnderstanding the structure and interaction of hadrons in terms of the quark and gluon degrees of freedom of QCD is the greatest unsolved problem of the Standard Model of nuclear and particle physics. If one accepts QCD as the correct theory of the strong interactions, then the transition from quark-gluon to hadron degrees of freedom should in principle amount to a change of basis, with all physical quantities independent of which basis is used. However, although the duality between quark and hadron descriptions is formally exact, in practice the necessity of truncating any Fock state expansion means that the extent to which duality holds reflects the validity of the truncations under different kinematical conditions and in different physical processes. Quark-hadron duality is therefore an expression of the relationship between confinement and asymptotic freedom, and is intimately related to the nature of the transition from non-perturbative to perturbative QCD.In nature, the phenomenon of duality is in fact quite general and can be studied in a variety of processes, such as e + e − → hadrons, or heavy quark decays [1]. One of the more intriguing examples, initially observed some 30 years ago, is in inclusive inelastic electron-nucleon scattering.

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Spectral density in the resonance region and analytic confinement

Cited by 8 publications

References 41 publications

Quark gluon bags as reggeons

Quark gluon bags as reggeons

High- and low-energy manifestations of confinement

Quark–hadron duality in electron scattering

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