Hadrons below the chiral phase transition

Gerber, P.; Leutwyler, H.

doi:10.1016/0550-3213(89)90349-0

Cited by 457 publications

(750 citation statements)

References 53 publications

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“…The results we obtain by following this procedure at many temperatures are shown in Fig. 4, together with the chiral perturbation theory prediction for the pion mass [37] …”

Section: Order Parameter and Correlation Lengthsmentioning

confidence: 99%

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Langevin evolution of disoriented chiral condensate

Bettencourt¹,

Rajagopal²,

Steele³

2001

Nuclear Physics A

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As the matter produced in a relativistic heavy ion collision cools through the QCD phase transition, the dynamical evolution of the chiral condensate will be driven out of thermal equilibrium. As a prelude to analyzing this evolution, and in particular as a prelude to learning how rapid the cooling must be in order for significant deviations from equilibrium to develop, we present a detailed analysis of the time-evolution of an idealized region of disoriented chiral condensate. We set up a Langevin field equation which can describe the evolution of these (or more realistic) linear sigma model configurations in contact with a heat bath representing the presence of other shorter wavelength degrees of freedom. We first analyze the model in equilibrium, paying particular attention to subtracting ultraviolet divergent classical terms and replacing them by their finite quantum counterparts. We use known results from lattice gauge theory and chiral perturbation theory to fix nonuniversal constants. The result is a theory which is ultraviolet cutoff independent and that reproduces quantitatively the expected equilibrium behavior of the quantum field theory of pions and σ fields over a wide range of temperatures. Finally, we estimate the viscosity η(T ), which controls the dynamical timescale in the Langevin equation, by requiring that the timescale for DCC decay agrees with previous calculations. The resulting η(T ) is larger than that found perturbatively. We also determine the temperature below which the classical field Langevin equation ceases to be a good model for the quantum field dynamics.

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“…The results we obtain by following this procedure at many temperatures are shown in Fig. 4, together with the chiral perturbation theory prediction for the pion mass [37] …”

Section: Order Parameter and Correlation Lengthsmentioning

confidence: 99%

“…2, we have required that the behavior of φ agrees with the expectations from chiral perturbation theory at low temperatures [37],…”

Section: Order Parameter and Correlation Lengthsmentioning

confidence: 99%

Langevin evolution of disoriented chiral condensate

Bettencourt¹,

Rajagopal²,

Steele³

2001

Nuclear Physics A

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“…(2) The four-quark condensates factorize into squares of the two-quark condensate [29]. (3) The two-quark condensate drops in the medium due to chiral restoration [30,31]. (4) Thus the four-quark condensates drop in the medium accordingly.…”

Section: Introductionmentioning

confidence: 99%

The impact of chirally odd condensates on the rho meson

et al. 2012

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Based on QCD sum rules we explore the consequences of a pure chiral restoration scenario for the ρ meson, where all chiral symmetry breaking condensates are dropped whereas the chirally symmetric condensates remain at their vacuum values. This pure chiral restoration scenario causes the drop of the ρ spectral moment by about 120 MeV. The complementarity of mass shift and broadening is discussed. A simple parametrization of the ρ spectral function leads to a width of about 600 MeV if no shift of the peak position is assumed.

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“…The dependence on N is quite cumbersome and it is proportional to the gluon condensate α s π G 2 . At low temperatures, this condensate has been calculated in chiral perturbation theory [10]. In this framework the condensate remains essentially constant up T ∼ T c ≃ 100 MeV, after which it decreases sharply.…”

Section: Hilbert Moment Qcd Sum Rulesmentioning

confidence: 99%

QCD sum rules and thermal properties of Charmonium in the vector channel

Domínguez

Loewe

Rojas

et al. 2010

Nuclear Physics B - Proceedings Supplements

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The thermal evolution of the hadronic parameters of charmonium in the vector channel, i.e. the J/ψ resonance mass, coupling (leptonic decay constant), total width, and continuum threshold is analyzed in the framework of thermal Hilbert moment QCD sum rules. The continuum threshold s 0 , as in other hadronic channels, decreases with increasing temperature until the PQCD threshold s 0 = 4 m 2 Q is reached at T ≃ 1.22 T c (m Q is the charm quark mass) and the J/ψ mass is essentially constant in a wide range of temperatures. The other hadronic parameters behave in a very different way from those of light-light and heavy-light quark systems. The total width grows with temperature up to T ≃ 1.04 T c beyond which it decreases sharply with increasing T. The resonance coupling is also initially constant beginning to increase monotonically around T ≃ T c . This behavior strongly suggests that the J/ψ resonance might survive beyond the critical temperature for deconfinement, in agreement with lattice QCD results.

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Hadrons below the chiral phase transition

Cited by 457 publications

References 53 publications

Langevin evolution of disoriented chiral condensate

Langevin evolution of disoriented chiral condensate

The impact of chirally odd condensates on the rho meson

QCD sum rules and thermal properties of Charmonium in the vector channel

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