Behavior of Current Divergences under<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>SU</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo>×</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>SU</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Gell‐Mann, Murray; Oakes, Robert J.; Renner, B.

doi:10.1103/physrev.175.2195

Cited by 2,140 publications

(1,207 citation statements)

References 20 publications

Supporting

Mentioning

1,152

Contrasting

Unclassified

Order By: Relevance

“…(18) is the in-medium generalization of the Gell-Mann-Oakes-Renner relation [14] and was derived before in the Nambu-Jona-Lasinio model [15] and in chiral perturbation theory [16,11]. Theoretically, Eq.…”

Section: In-medium Glashow-weinberg Relation At Low Densitymentioning

confidence: 99%

In-medium pion and partial restoration of chiral symmetry

2008

View full text Add to dashboard Cite

The partial restoration of chiral symmetry in nuclear medium is investigated in a model independent way by exploiting operator relations in QCD. An exact sum rule is derived for the quark condensate valid for all density. This sum rule is simplified at low density to a new relation qq * / qq = (F t π /Fπ)Z * 1/2 π with the in-medium quark condensate qq * , in-medium pion decay constant F t π and in-medium pion wave-function renormalization Z * π . Calculating Z * π at low density from the iso-scalar pion-nucleon scattering data and relating F t π to the isovector pion-nucleus scattering length b * 1 , it is concluded that the enhanced repulsion of the s-wave isovector pion-nucleus interaction observed in the deeply bound pionic atoms directly implies the reduction of the in-medium quark condensate. The knowledge of the in-medium pion mass m * π is not necessary to reach this conclusion.

show abstract

Section: In-medium Glashow-weinberg Relation At Low Densitymentioning

confidence: 99%

In-medium pion and partial restoration of chiral symmetry

2008

View full text Add to dashboard Cite

show abstract

“…This is another example of the good agreement of lattice results with the (leading order ChPT) Gell-Mann-Oakes-Renner relation [50],…”

Section: Dynamical Fermionsmentioning

confidence: 75%

The hadron spectrum from lattice QCD

Lang

2008

Progress in Particle and Nuclear Physics

View full text Add to dashboard Cite

show abstract

“…For the gluon condensate we use a canonical value [15] of αs π G 2 ≈ (330 MeV) 4 . The quark condensate is determined from the Gell-Mann-Oakes-Renner relation [38] …”

Section: Comparing Results With Experiments and Other Modelsmentioning

confidence: 99%

“…where the coefficients of the OPE are given in (38). Note that the powers of s in the respective integrand rise from (43a) to (43c).…”

Section: Qcd Sum Rulesmentioning

confidence: 99%

Rho meson properties from combining QCD-based models

Leupold

2004

Nuclear Physics A

View full text Add to dashboard Cite

Aiming at the calculation of the properties of ρ-mesons, non-perturbative QCD-based methods are discussed concerning their potentials as well as their short-comings. The latter are overcome by combining these techniques. The utilized methods are (i) the chiral constituent quark model deduced from the instanton vacuum model and large-Nc arguments, (ii) chiral perturbation theory unitarized by the inverse amplitude method and (iii) QCD sum rules. Advantages of the combination of these methods are especially the absence of un-physical quark-production thresholds and parameter-free results. Already in the chiral limit and in leading order in 1/Nc one obtains a reasonable result for the mass of the ρ-meson, namely mρ = 790 ± 30 MeV. Using the KSFR relation the universality of the ρ-meson coupling is recovered. The latter is found to be g = 6.0 ± 0.3.

show abstract

Behavior of Current Divergences underSU3×SU3

Cited by 2,140 publications

References 20 publications

In-medium pion and partial restoration of chiral symmetry

In-medium pion and partial restoration of chiral symmetry

The hadron spectrum from lattice QCD

Rho meson properties from combining QCD-based models

Contact Info

Product

Resources

About