Stringy Mass Squared Splittings Revisited

Abstract

An empirically successful mass formula derived long ago from hadronic string models is not explained by symmetries of the QCD lagrangian. Consider that M(rho)^2-M(pi)^2 = M(K*)^2-M(K)^2 to a few percent accuracy. We derive this and other equal spacing relations using chiral symmetry and a novel Z_2 symmetry. We offer an interpretation of this Z_2 symmetry as a manifestation of chiral anomalies in a gauge theory with an intrinsic cutoff.

Comments: 22 pages TeX, 1 eps figure, uses mtexsis.tex