What does a change in the quark condensate say about restoration of chiral symmetry in matter?

Birse, Michael C.

doi:10.1103/physrevc.53.r2048

Cited by 28 publications

(29 citation statements)

References 46 publications

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“…IV. Our result is therefore not totally model independent but this limitation is imposed by chiral constraints [28]. For the evaluation of the scalar susceptibility including correlation terms, we make the assumption that the pionic correlation energy density and the correlated part of the pion scalar density both go as ρ 2 , a reasonable approximation in view of the results shown on Fig.…”

Section: Influence Of the Correlation Termmentioning

confidence: 95%

QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops

Chanfray

Ericson

2007

Phys. Rev. C

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We derive the equation of state of symmetric nuclear matter in a relativistic theory with σ and ω exchange. We take a chiral version of this model which insures all the chiral constraints. Going beyond the mean field approach we introduce the effects of the pion loops. For the parameters of the model, in order to fix those linked to pion exchange, we exploit the most recent information on the short-range part of the spin-isospin interaction. For those linked to the scalar meson exchange we make use of an analysis of lattice results on the nucleon mass evolution with the quark mass. With these inputs we are able reach a correct description of the saturation properties. From the equation of state of symmetric nuclear matter we also derive the density dependence of the quark condensate and of the QCD susceptibilities.

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Section: Influence Of the Correlation Termmentioning

confidence: 95%

QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops

Chanfray

Ericson

2007

Phys. Rev. C

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“…It is related to the pion mass contribution to the in-medium nucleon mass and arises from the long-distance physics encoded in the nuclear pion cloud being governed by chiral symmetry [90]. Naive extrapolation of the mixing to chiral restoration (i.e., ξ = 1/2) yields ρ c ≃ 2.5̺ 0 , which again is not unreasonable.…”

Section: Vector-axialvector Mixingmentioning

confidence: 99%

Chiral Symmetry Restoration and Dileptons in Relativistic Heavy-Ion Collisions

Rapp

Wambach

2002

Advances in Nuclear Physics

545

258

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The current theoretical status in the analysis and interpretation of low-mass dilepton measurements in (ultra-) relativistic heavy-ion experiments is reviewed. Special emphasis is put on potential signals of (partial) restoration of dynamically broken chiral symmetry in a hot and dense hadronic medium. It follows from chiral symmetry alone that parity partners of hadronic correlation functions must become identical when the symmetry is restored. The assessment of medium effects in the vector channel, which governs the dilepton production, thus necessitates a simultaneous treatment of the vector and axialvector degrees of freedom. While significant progress in this respect has been made some open questions remain in establishing a rigorous link in the mass region below 1 GeV. From the present calculations a suggestive 'quark-hadron duality' emerges near the phase boundary. It implies substantial medium effects in the dilepton signal from the hadronic phase which smoothly matches a perturbative description within the plasma phase.

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“…Concerning the in-medium condensate one has carefully to distinguish between contributions from the pion cloud and those of nonpionic origin [41,42]. As pointed out by Birse [41] a naive direct dependence of the nucleon mass on the quark condensate through Eq.…”

Section: B Connection To Qcd Sum Rulesmentioning

confidence: 99%

“…To set up the context for the following discussion, we briefly outline the argumentation of Birse [41]: From Eq. (51) it follows that the effective nucleon mass M * = M + s (ρ) is directly proportional to the nucleon sigma term…”

Section: B Connection To Qcd Sum Rulesmentioning

confidence: 99%

Relativistic self-energy in nuclear dynamics

Plohl

Fuchs

2006

Phys. Rev. C

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It is a well-known fact that Dirac phenomenology of nuclear forces predicts the existence of large scalar and vector mean fields in matter. To analyze the relativistic self-energy in a model independent way, modern high-precision nucleon-nucleon (NN ) potentials are mapped on a relativistic operator basis using projection techniques. Comparison of the various potentials at the level of covariant amplitudes produced remarkable agreement. It allows further calculation of the relativistic self-energy in nuclear matter in the Hartree-Fock approximation. Independent of the choice of the nucleon-nucleon interaction large scalar and vector mean fields of several hundred MeV magnitude are generated at tree level. In the framework of chiral effective field theory, these fields are dominantly generated by contact terms that occur at next-to-leading order in the chiral expansion. Consistent with Dirac phenomenology the corresponding low-energy constants that generate the large fields are closely connected to the spin-orbit interaction in NN scattering. The connection to quantum chromodynamics sum rules is discussed as well.

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What does a change in the quark condensate say about restoration of chiral symmetry in matter?

Cited by 28 publications

References 46 publications

QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops

QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops

Chiral Symmetry Restoration and Dileptons in Relativistic Heavy-Ion Collisions

Relativistic self-energy in nuclear dynamics

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