Hadron properties just before deconfinement

Boyd, G.; Gupta, Sourendu; Karsch, Frithjof; Laermann, Edwin; Petersson, Bengt; Redlich, K.

doi:10.1016/0370-2693(95)00220-f

Cited by 35 publications

(44 citation statements)

References 35 publications

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“…The rather weak dependence of the position and width of the ρ-pole as a function temperature observed in this work is in agreement with the results of lattice calculations [10]. …”

Section: Results and Conclusionsupporting

confidence: 92%

ππ scattering in the ϱ-meson channel at finite temperature

Hüfner

Klevansky

et al. 1998

Nuclear Physics A

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We study ππ scattering in the I = 1, J P = 1 − channel at finite temperature in the framework of the extended Nambu-Jona-Lasinio model that explicitly includes vector and axial-vector degrees of freedom in addition to the usual scalar and pseudoscalar sector. The S-matrix in the coupled channels qq and ππ is constructed via ρ-exchange in the s-channel. The self-energy of the ρ-meson contains both quark and pion loop contributions. The analytic structure of the S-matrix for T ≥ 0 is investigated and the motion of the ρ-pole as a function of coupling constant and temperature is followed in the complex √ s-plane. For numerical calculations, parameters are chosen in order that m π , f π and the experimental ππ phase shifts δ 1 1 at zero temperature are reproduced, and then the behavior of the ρ-pole as well as the ππ cross section is investigated as a function of the temperature.We find that the position of the ρ mass stays practically constant for 0 ≤ T ≤ 130 MeV, and then moves down in energy by about 200 MeV for 130 MeV≤ T ≤ 230 MeV. 12.39.Ba, 21.65.+f, 24.85.+p

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“…The rather weak dependence of the position and width of the ρ-pole as a function temperature observed in this work is in agreement with the results of lattice calculations [10]. …”

Section: Results and Conclusionsupporting

confidence: 92%

ππ scattering in the ϱ-meson channel at finite temperature

Hüfner

Klevansky

et al. 1998

Nuclear Physics A

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“…An analysis of the lattice data suggests that the vector coupling is small in comparison with the scalar coupling at high temperature [22,40].…”

Section: The Sigma Meson and The Soft Modesmentioning

confidence: 99%

Chiral transition and the scalar and vector correlations

Kunihiro¹

2001

AIP Conference Proceedings

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The properties of the scalar and vector correlations in the hot and/or dense hadronic matter close to chiral transition are discussed. Presuming that the linear realization of chiral symmetry will become appropriate at least near the critical point, we argue that the strength function in the I = J = 0 channel will soften near the critical point, and the sigma meson will accordingly become a clearer resonance in hot and/or dense medium than in the free space. It is shown that the steep rise of the baryon-number susceptibility χB around the critical point seen in the lattice simulations may suggest that the interactions between quarks in the vector channel become week near the critical point; this implies that the peculiar behavior of the χB does not necessarily imply a proliferation of baryons and antibaryons (Skyrmions) which is though a natural scenario of chiral transition in the non-linear realization of chiral symmetry. The sigma meson and the soft modesChiral transition is a phase transition of the QCD vacuum with qq being the order parameter. When exploring a phase transition in any physical system, the study of fluctuations of physical quantities, especially ones related to the order parameter is as important as that of the phase diagram for the system in equilibrium. The fluctuations of observables are also related with dynamical phenomena such as the transport properties of the system. If a phase transition is of 2nd order or weak 1st order, there exist soft modes, which are the fluctuations of the order parameter as is well known in condensed matter physics[1] and nuclear physics [2]. For the chiral transition, the fluctuation of the order parameter (qq) 2 is a scalar-isoscalar meson which one calls the σ-meson. The σ meson may become the soft mode of chiral transition at T = 0 and/or ρ B = 0 [3,4]. In fact, the existence of the sigma meson as the quantum fluctuation of the order parameter of the chiral transition is still controversial [5], though the recent active studies on the phase-shift analysis of the π-π scattering in the I = J = 0 channel, i.e., the sigma channel, have been confirming the existence of the pole deep in the second Riemann sheet with the real part ranging from 400 MeV to 800 MeV [6,7]. If this pole is identified with the quantum fluctuation of the amplitude of the chiral condensate, it may imply that the linear realization of chiral symmetry is appropriate in the resonance energy region, although the chiral perturbation theory based on the non-linear chiral Lagrangians [8] works well in the rather low-energy region.The first half of this report is concerned with the sigma meson and the precursory soft modes for chiral transition in nuclear medium, and is essentially a recapitulation of the talk presented at Tohoku university, a week before of the present workshop; the manuscript for the proceedings is now on the net [9]. Referring to the above proceedings for the detail of the content, here I only give a brief summary of the report and some comments:(1) The existence of t...

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“…Such computations need, quite crucially, input on hadronic masses, widths and interaction strengths at finite temperatures. These can be obtained in lattice computations, and I shall summarise a recent computation [9] in the next section.…”

Section: Low Mass Continuummentioning

confidence: 99%

“…One of these [8] was done on N τ = 4 lattices on very large spatial volumes, extending to (8/T ) 3 , at 0.5T c . Work now in progress [9] extends these computations to N τ = 8 on spatial volumes of (4/T ) 3 at 0.75T c and 0.88T c . In both these studies the values of the quark condensate, ψψ , pion decay constant, f π , and the pion and ρ masses have been studied.…”

Section: The ρ Mesonmentioning

confidence: 99%

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Electromagnetic signals and backgrounds in heavy-ion collisions

Gupta

1994

Nuclear Physics A

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Aspects of the dilepton spectrum in heavy-ion collisions are discussed, with special emphasis on using lattice computations to guide the phenomenology of finite temperature hadronic matter. The background rates for continuum dileptons expected in forthcoming experiments are summarised. Properly augmented by data from ongoing measurements at HERA, these rates will serve as a calibrating background for QGP searches. Recent results on the temperature dependence of the hadronic spectrum obtained in lattice computations below the deconfinement transition are summarised. Light vector meson masses are strongly temperature dependent. Accurate measurements of a resolved ρ-peak in dimuon spectra in present experiments are thus of fundamental importance. Aspects of the dilepton spectrum in heavy-ion collisions are discussed, with special emphasis on using lattice computations to guide the phenomenology of finite temperature hadronic matter. The background rates for continuum dileptons expected in forthcoming experiments are summarised. Properly augmented by data from ongoing measurements at HERA, these rates will serve as a calibrating background for QGP searches. Recent results on the temperature dependence of the hadronic spectrum obtained in lattice computations below the deconfinement transition are summarised. Light vector meson masses are strongly temperature dependent. Accurate measurements of a resolved ρ-peak in dimuon spectra in present experiments are thus of fundamental importance.

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Hadron properties just before deconfinement

Cited by 35 publications

References 35 publications

ππ scattering in the ϱ-meson channel at finite temperature

ππ scattering in the ϱ-meson channel at finite temperature

Chiral transition and the scalar and vector correlations

Electromagnetic signals and backgrounds in heavy-ion collisions

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