Imaging dynamical chiral symmetry breaking: pion wave function on the light front


Abstract in English

We project onto the light-front the pions Poincare-covariant Bethe-Salpeter wave-function, obtained using two different approximations to the kernels of QCDs Dyson-Schwinger equations. At an hadronic scale both computed results are concave and significantly broader than the asymptotic distribution amplitude, phi_pi^{asy}(x)=6 x(1-x); e.g., the integral of phi_pi(x)/phi_pi^{asy}(x) is 1.8 using the simplest kernel and 1.5 with the more sophisticated kernel. Independent of the kernels, the emergent phenomenon of dynamical chiral symmetry breaking is responsible for hardening the amplitude.

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