Transversity relations, chiral and holographic models, and pion wave functions from lattice QCD

Understand

We analyze the equal-time Bethe-Salpeter quark wave functions of the pion in various models.

• We discuss how the quenched lattice QCD results with delocalized pion interpolators can be identified with the coarse grained wave functions, typical of low-energy effective models.
• Actually, we find that one-loop chiral quark models predict that pseudoscalar and tensor wave functions have the same shape, while the axial component is more extended.
• These facts are accurately confirmed by the lattice.