Imaging dynamical chiral symmetry breaking: pion wave function on the light front
Nuclear Theory
2015-06-12 v1 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Experiment
Abstract
We project onto the light-front the pion's Poincare'-covariant Bethe-Salpeter wave-function, obtained using two different approximations to the kernels of QCD's 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.
Cite
@article{arxiv.1301.0324,
title = {Imaging dynamical chiral symmetry breaking: pion wave function on the light front},
author = {Lei Chang and I. C. Cloet and J. J. Cobos-Martinez and C. D. Roberts and S. M. Schmidt and P. C. Tandy},
journal= {arXiv preprint arXiv:1301.0324},
year = {2015}
}
Comments
5 pages, 2 figures, 1 table