Structure of nuclear matter and QCD sum rules

Drukarev, E. G.; Levin, E.

doi:10.1016/0146-6410(91)90003-7

Cited by 147 publications

(71 citation statements)

References 35 publications

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“…Although the validity of χPT is limited to low temperature, this is a clear evidence of the melting of chiral condensate at finite temperature. At low baryon density, likewise, the chiral condensate decreases as ψ ψ nB / ψ ψ = 1 − σ πN n B /(f 2 π m 2 π ) − · · · [30,31,32] where σ πN ∼ 40 MeV is the π-N sigma term. (For higher-order corrections, see [33,34].)…”

Section: Deconfinement and Chiral Restorationmentioning

confidence: 99%

The phase diagram of dense QCD

Fukushima¹,

Hatsuda²

2010

Rep. Prog. Phys.

920

945

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Abstract. Current status of theoretical researches on the QCD phase diagram at finite temperature and baryon chemical potential is reviewed with special emphasis on the origin of various phases and their symmetry breaking patterns. Topics include; quark deconfinement, chiral symmetry restoration, order of the phase transitions, QCD critical point(s), colour superconductivity, various inhomogeneous states and implications from QCD-like theories.

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Section: Deconfinement and Chiral Restorationmentioning

confidence: 99%

The phase diagram of dense QCD

Fukushima¹,

Hatsuda²

2010

Rep. Prog. Phys.

920

945

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“…where b i and a i are the dimensionless short-distance regularization constants appearing in the counter terms (39) and (40). They subsume all unresolved short-range two-and three-body dynamics, plus possible higher order (fourloop etc.)…”

Section: Appendixmentioning

confidence: 99%

“…To first order in the scalar and baryon densities, these self-energies can be expressed as follows [12,35,36,37,38,39]: …”

Section: Scalar and Vector Fields: Guidance From In-medium Qcd Sum Rumentioning

confidence: 99%

Relativistic nuclear energy density functional constrained by low-energy QCD

et al. 2006

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A relativistic nuclear energy density functional is developed, guided by two important features that establish connections with chiral dynamics and the symmetry breaking pattern of low-energy QCD: a) strong scalar and vector fields related to inmedium changes of QCD vacuum condensates; b) the long-and intermediate-range interactions generated by one-and two-pion exchange, derived from in-medium chiral perturbation theory, with explicit inclusion of ∆(1232) excitations. Applications are presented for binding energies, radii of proton and neutron distributions and other observables over a wide range of spherical and deformed nuclei from 16 O to 210 P o. Isotopic chains of Sn and P b nuclei are studied as test cases for the isospin dependence of the underlying interactions. The results are at the same level of quantitative comparison with data as the best phenomenological relativistic mean-field models.

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“…For a more intuitive derivation, see ref. [23]. This coincidence is not surprising since, in the non-relativistic limit, the diagram of fig.3 just counts the number of nucleon states times the corresponding vertex for protons and neutrons separately.…”

Section: In-medium Quark Condensatesmentioning

confidence: 94%

Beyond the mean-field approximation

2008

Many-Body Theory Exposed!

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An explicit expression of the generating functional of two-flavor low-energy QCD with external sources in the presence of non-vanishing nucleon densities has been derived recently [1]. Within this approach we derive power counting rules for the calculation of in-medium pion properties. We develop the socalled standard rules for residual nucleon energies of the order of the pion mass and a modified scheme (non-standard counting) for vanishing residual nucleon energies. We also establish the different scales for the range of applicability of this perturbative expansion, which are √ 6πf π ≃ 0.7 GeV for the standard and 6π 2 f 2 π /2m N ≃ 0.27 GeV for non-standard counting, respectively. We have performed a systematic analysis of n-point in-medium Green functions up to and including next-to-leading order when the standard rules apply. These include the in-medium contributions to quark condensates, pion propagators, pion masses and couplings of the axial-vector, vector and pseudoscalar currents to pions. In particular, we find a mass shift for negatively charged pions in heavy nuclei that agrees with recent determinations from deeply bound pionic 207 Pb. We have also established the absence of in-medium renormalization in the π 0 → γγ decay amplitude up to the same order. The study of ππ scattering requires the use of the non-standard counting and the calculation is done at leading order. Even at that order we establish new contributions not considered so far. We also point towards further possible improvements of this scheme and touch upon its relation to more conventional many-body approaches.

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Structure of nuclear matter and QCD sum rules

Cited by 147 publications

References 35 publications

The phase diagram of dense QCD

The phase diagram of dense QCD

Relativistic nuclear energy density functional constrained by low-energy QCD

Beyond the mean-field approximation

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