5 research outputs found
On the chiral expansion of vector meson masses
We study the chiral expansion of meson masses and decay constants using a
chiral Lagrangian that was constructed previously based on the hadrogenesis
conjecture. The one-loop self energies of the Goldstone bosons and vector
mesons are evaluated. It is illustrated that a renormalizeable effective field
theory arises once specific conditions on the low-energy constants are imposed.
For the case where the hadrogenesis mass gap scale Lambda_{HG} is substantially
larger than the chiral symmetry breaking scale Lambda_chi a partial summation
scheme is required. All terms proportional to (M/\Lambda_\chi)^n can be summed
by a suitable renormalization, where M is the chiral and large-N_c limit of the
vector meson masses in QCD. The size of loop effects from vector meson degrees
of freedom is illustrated for physical quarks masses. Naturally sized effects
are observed that have significant impact on the chiral structure of low-energy
QCD with three light flavours.Comment: 39 pages, 8 figure