Imaging Dynamical Chiral-Symmetry Breaking: Pion Wave Function on the Light Front
Abstract
We project onto the light front the pion’s Poincaré-covariant Bethe-Salpeter wave function obtained using two different approximations to the kernels of quantum chromodynamics’ Dyson-Schwinger equations. At an hadronic scale, both computed results are concave and significantly broader than the asymptotic distribution amplitude, φπasy(x)=6x(1-x); e.g., the integral of φπ(x)/φπasy(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.
- Publication:
-
Physical Review Letters
- Pub Date:
- March 2013
- DOI:
- 10.1103/PhysRevLett.110.132001
- arXiv:
- arXiv:1301.0324
- Bibcode:
- 2013PhRvL.110m2001C
- Keywords:
-
- 12.38.Aw;
- 11.10.St;
- 12.38.Lg;
- 14.40.Be;
- General properties of QCD;
- Bound and unstable states;
- Bethe-Salpeter equations;
- Other nonperturbative calculations;
- Nuclear Theory;
- High Energy Physics - Lattice;
- High Energy Physics - Phenomenology;
- Nuclear Experiment
- E-Print:
- 5 pages, 2 figures, 1 table