Pion dissociation and Levinson’s theorem in hot PNJL quark matter

Wergieluk, A.; Blaschke, D.; Kalinovsky, Yu. L.; Friesen, A. V.

doi:10.1134/s1547477113070169

Cited by 47 publications

(53 citation statements)

References 24 publications

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“…Future studies should acknowledge that, after the Mott transition, are the two-body scattering states, rather than the resonances who play a crucial role [60]. Bearing in mind the technical difficulties encountered within the present approach, we may speculate that one possible way to proceed while still keeping the covariant setup, would be to put forward the picture of complexconjugate singularities in a Gribov-Zwanziger framework, where they would be seen as elementary fields.…”

Section: Discussionmentioning

confidence: 96%

“…Masses and widths can be extracted which encode information on the medium modification of mesons by the underlying quark-antiquark substructure. Therefore, the nl-PNJL, and quark (and gluon) models in general, are in an interesting position to properly account for the degrees of freedom in both, the hadron and the QGP phases, with the underlying physical mechanism for the vanishing of hadronic states from the spectrum in the QGP phase being their dissolution in the continuum of scattering states (the Mott effect) [55][56][57][58][59][60][61][62].…”

Section: Introductionmentioning

confidence: 99%

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Medium induced Lorentz symmetry breaking effects in nonlocal Polyakov–Nambu–Jona-Lasinio models

et al. 2014

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In this paper we detail the thermodynamics of two flavor nonlocal Polyakov-Nambu-Jona-Lasinio models for different parametrizations of the quark interaction regulators. The structure of the model is upgraded in order to allow for terms in the quark selfenergy which violate Lorentz invariance due to the presence of the medium. We examine the critical properties, the phase diagram as well as the equation of state. Furthermore, some aspects of the Mott effect for pions and sigma mesons are discussed explicitly within a nonlocal Polyakov-Nambu-Jona-Lasinio model. In particular, we continued the meson polarization function in the complex energy plane and under certain approximations, we were able to extract the imaginary part as a function of the meson energy. We were not able to calculate the dynamical meson mass, and therefore resorted to a technical study of the temperature dependence of the meson width by replacing the meson energy with the temperature dependent spatial meson mass. Our results show that while the temperature behavior of the meson widths is qualitatively the same for a wide class of covariant regulators, the special case where the nonlocal interactions are introduced via the instanton liquid model singles out with a drastically different behavior.

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Section: Discussionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Medium induced Lorentz symmetry breaking effects in nonlocal Polyakov–Nambu–Jona-Lasinio models

et al. 2014

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“…Our work might be considered as a first step towards a microscopically based construction of the transition from hadron to quark matter either via pasta phases or beyond mean-field studies taking into account the quark substructure of hadrons and their dissociation in the dense medium [21,22]. …”

Section: Discussionmentioning

confidence: 99%

Crossover Transition to Quark Matter in Heavy Hybrid Stars

Alvarez-Castillo¹,

Benić²,

Blaschke³

et al. 2014

Acta Phys. Pol. B Proc. Suppl.

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“…Recently, invoking the Levinson's theorem, it has been shown that keeping only the bound-state spectrum in thermodynamical computations leads to strong violations of unitarity [39]. In our calculations, we take into account the continuum as well the bound states, in order to keep unitarity.…”

Section: Solving Lippman-schwinger Equationsmentioning

confidence: 99%

The SUSY Yang–Mills plasma in a T-matrix approach

Lacroix

Semay

Buisseret

2015

Int. J. Mod. Phys. A

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The thermodynamic properties of N = 1 supersymmetric Yang-Mills theory with an arbitrary gauge group are investigated. In the confined range, we show that identifying the bound state spectrum with a Hagedorn one coming from non-critical closed superstring theory leads to a prediction for the value of the deconfining temperature T c that agrees with recent lattice data. The deconfined phase is studied by resorting to a T -matrix formulation of statistical mechanics in which the medium under study is seen as a gas of quasigluons and quasigluinos interacting nonperturbatively.Emphasis is put on the temperature range (1-5) T c , where the interaction are expected to be strong enough to generate bound states. Binary bound states of gluons and gluinos are indeed found to be bound up to 1.4 T c for any gauge group. The equation of state is then computed numerically for SU(N ) and G 2 , and discussed in the case of an arbitrary gauge group. It is found to be nearly independent of the gauge group and very close to that of non-supersymmetric Yang-Mills when normalized to the Stefan-Boltzmann pressure and expressed as a function of T /T

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Pion dissociation and Levinson’s theorem in hot PNJL quark matter

Cited by 47 publications

References 24 publications

Medium induced Lorentz symmetry breaking effects in nonlocal Polyakov–Nambu–Jona-Lasinio models

Medium induced Lorentz symmetry breaking effects in nonlocal Polyakov–Nambu–Jona-Lasinio models

Crossover Transition to Quark Matter in Heavy Hybrid Stars

The SUSY Yang–Mills plasma in a T-matrix approach

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