Flavour-symmetry breaking of the quark condensate and chiral corrections to the Gell-Mann-Oakes-Renner relation

@article{Jamin2002FlavoursymmetryBO,
  title={Flavour-symmetry breaking of the quark condensate and chiral corrections to the Gell-Mann-Oakes-Renner relation},
  author={Matthias Jamin},
  journal={Physics Letters B},
  year={2002},
  volume={538},
  pages={71-76}
}
  • M. Jamin
  • Published 2002
  • Physics
  • Physics Letters B
Abstract The relation between the chiral quark condensate in QCD sum rules and chiral perturbation theory is clarified with the help of a low-energy theorem for the scalar and pseudoscalar correlation functions. It is found that the quark condensate should be identified with the non-normal-ordered vacuum expectation value of quark–antiquark fields. Utilising results on flavour SU(3) breaking of the quark condensate from QCD sum rules, the low-energy constant H 2 r in the chiral Lagrangian, as… Expand
Physica Polonica B No 4 QUARK AND GLUON CONDENSATES IN QCD REEVALUATED ∗
Quark and gluon condensates are vacuum expectations values of local operators. They are often considered in the context of quark–hadron dualities and calculated as such. However, the general view isExpand
Chiral condensate in hadronic matter
The finite temperature chiral condensate for 2 + 1 quark flavors is considered in the framework of the hadron resonance gas model. This requires some dynamical information, for which two models areExpand
Thermal evolution of the chiral condensate in SU(2) and SU(3) Chiral perturbation theory
Abstract The temperature evolution of the chiral condensates in a gas made of pions, kaons and etas is studied within the framework of SU(2) and SU(3) Chiral Perturbation Theory. We describe theExpand
Nonzero mean squared momentum of quarks in the nonperturbative QCD vacuum
The nonlocal vacuum condensates of QCD describe the distributions of quarks and gluons in the nonperturbative QCD vacuum. Physically, this means that vacuum quarks and gluons have nonzero meanExpand
Estimate of the chiral condensate in quenched lattice QCD
Abstract We determine the value of the quark condensate from quenched QCD simulations on the lattice in two ways: (i) by using the Gell-Mann–Oakes–Renner (GMOR) formula; (ii) by comparing the OPEExpand
Chiral symmetry breaking from five-dimensional spaces
Abstract Based on the AdS/CFT correspondence we study the breaking of the chiral symmetry in QCD using a simple five-dimensional model. The model gives definite predictions for the spectrum of vectorExpand
Chiral Corrections to the Gell-Mann-Oakes-Renner Relation from QCD Sum Rules
We calculate the next-to-leading order corrections to the SU(2) ⊗ SU(2) and SU(3) ⊗ SU(3) Gell-Mann-OakesRenner relations. We use an pseudoscalar correlator calculated from Perturbative QCD up toExpand
The condensate for two dynamical chirally improved quarks in QCD
Abstract We compare the eigenvalue spectra of the Dirac operator from a simulation with two mass degenerate dynamical chirally improved fermions with Random Matrix Theory. Comparisons withExpand
Strange quark condensate from QCD sum rules to five loops
It is argued that it is valid to use QCD sum rules to determine the scalar and pseudoscalar two-point functions at zero momentum, which in turn determine the ratio of the strange to non-strange quarkExpand
The scalar gluonium correlator: large-β0 and beyond
A bstractThe investigation of the scalar gluonium correlator is interesting because it carries the quantum numbers of the vacuum and the relevant hadronic current is related to the anomalous trace ofExpand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 60 REFERENCES
Baryon masses and flavour symmetry breaking of chiral condensates
Abstract The masses of the baryon octet and decuplet are reproduced with a (10–20)% accuracy by ratios of exponential moment QCD spectral sum rules, obeying the τ (sum rule variable) stabilityExpand
Current correlators to all orders in the quark masses
The contributions to the coefficient functions of the quark and the mixed quark-gluon condensate to mesonic correlators are calculated for the first time to all orders in the quark masses, and toExpand
The Role of Resonances in Chiral Perturbation Theory
Abstract The strong interactions of low-lying meson resonances (spin ⩽ 1) with the octet of pseudoscalar mesons ( π , K , η ) are considered to lowest order in the derivative expansion of chiralExpand
The QCD chiral condensate from the lattice
Abstract We determine the chiral condensate from simulations of quenched lattice QCD with Wilson fermions. Our measurements have been obtained with high statistics at three values of the gaugeExpand
Chiral Perturbation Theory: Expansions in the Mass of the Strange Quark
Abstract In a previous paper, we have shown how to systematically determine the low-energy structure of the Green functions in QCD. The present article extends this framework to expansions in theExpand
Light quark masses in QCD from local duality
Abstract We present an improved determination of the QCD-masses of the up-, down-, and strange quarks, as well as of the subtraction constants ψ 5 (0) = − (m u + m d )〈 u u + d d〉 and ψ(0) = − (m u −Expand
Direct extraction of the chiral quark condensate and bounds on the light quark masses
Abstract We select sum rules from which one can extract directly reliable limits on the size of the chiral symmetry breaking light quark condensate 〈 ψ ψ〉 . Combined results from the nucleon and B ∗Expand
QCD isospin breaking in meson masses, decay constants and quark mass ratios
Abstract The procedure to calculate masses and matrix-elements in the presence of mixing of the basis states is explained in detail. We then apply this procedure to the two-loop calculation in ChiralExpand
QCD sum rules for the light quark vacuum condensate
Abstract We reevaluate the quark-condensate renormalization group invariant term (m u +m i )〈0| ψ u ψ u + ψ i ψ i |0〉, i ≡ d, s , using QCD sum rules of the Laplace transform type to two loops. It isExpand
B meson B-parameters and the decay constant in two-flavor dynamical QCD
Abstract We present a two-flavor dynamical QCD calculation of the B meson B parameters and decay constant. We use NRQCD for heavy quark and the nonperturbatively O ( a )-improved Wilson action forExpand
...
1
2
3
4
5
...