Towards a consistent estimate of the chiral low - energy constants ∗
نویسندگان
چکیده
Guided by the large-N C limit of QCD, we construct the most general chiral resonance Lagrangian that can generate chiral low-energy constants up to O(p 6). By integrating out the resonance fields, the low-energy constants are parametrized in terms of resonance masses and couplings. Information on those couplings and on the low-energy constants can be extracted by analysing QCD Green functions of currents both for large and small momenta. The chiral resonance theory generates Green functions that interpolate between QCD and chiral perturbation theory. As specific examples we consider the V A P and S P P Green functions. Sud Toulon-Var; laboratoire affiliéà la FRUMAM (FR 2291).
منابع مشابه
Chiral expansion of baryon masses and σ–terms
We analyze the octet baryon masses and the pion/kaon–nucleon σ–terms in the framework of heavy baryon chiral perturbation theory. We include all terms up-to-and-including quadratic order in the light quark masses, mq. We develop a consistent scheme to estimate low–energy constants related to scalar–isoscalar operators in the framework of resonance exchange involving one–loop graphs. The pertine...
متن کاملLow Energy Constants from High Energy Theorems
New constraints on resonance saturation in chiral perturbation theory are investigated. These constraints arise because each consistent saturation scheme must map to a representation of the full QCD chiral symmetry group. The low-energy constants of chiral perturbation theory are then related by a set of mixing angles. It is shown that vector meson dominance is a consequence of the fact that na...
متن کاملLow-Energy Constants from Resonance Chiral Theory
I discuss the recent attempts to build an effective chiral Lagrangian incorporating massive resonance states. A useful approximation scheme to organize the resonance Lagrangian is provided by the large-NC limit of QCD. Integrating out the resonance fields, one recovers the usual chiral perturbation theory Lagrangian with explicit values for the low-energy constants, parameterized in terms of re...
متن کاملar X iv : h ep - l at / 9 71 20 04 v 1 2 D ec 1 99 7 1505 : Update on lattice QCD with domain wall quarks
Using domain wall fermions, we estimate BK(μ ≈ 2GeV) = 0.602(38) in quenched QCD which is consistent with previous calculations. We also find ratios of decay constants that are consistent with experiment, within our statistical errors. Our initial results indicate good scaling behavior and support expectations that O(a) errors are exponentially suppressed in low energy (E ≪ a) observables. It i...
متن کامل1505 : Update on lattice QCD with domain wall quarks
Using domain wall fermions, we estimate BK(μ ≈ 2 GeV) = 0.602(38) in quenched QCD which is consistent with previous calculations. We also find ratios of decay constants that are consistent with experiment, within our statistical errors. Our initial results indicate good scaling behavior and support expectations that O(a) errors are exponentially suppressed in low energy (E a) observables. It is...
متن کامل