%0 Generic %1 Beane2013Broken %A Beane, Silas R. %D 2013 %K condensate %T Broken Chiral Symmetry on a Null Plane %U http://arxiv.org/abs/1302.1600 %X On a null-plane (light-front), all effects of spontaneous chiral symmetry breaking are contained in the three Hamiltonians (dynamical Poincaré generators), while the vacuum state is a chiral invariant. This property is used to give a general proof of Goldstone's theorem on a null-plane. Focusing on null-plane QCD with N degenerate flavors of light quarks, the chiral-symmetry breaking Hamiltonians are obtained, and the role of vacuum condensates is clarified. In particular, the null-plane Gell-Mann-Oakes-Renner formula is derived, and a general prescription is given for mapping all chiral-symmetry breaking QCD condensates to chiral-symmetry conserving null-plane QCD condensates. The utility of the null-plane description lies in the operator algebra that mixes the null-plane Hamiltonians and the chiral symmetry charges. It is demonstrated that in a certain non-trivial limit, the null-plane operator algebra reduces to the symmetry group SU(2N) of the constituent quark model.

@misc{Beane2013Broken, abstract = {{On a null-plane (light-front), all effects of spontaneous chiral symmetry breaking are contained in the three Hamiltonians (dynamical Poincar\'e generators), while the vacuum state is a chiral invariant. This property is used to give a general proof of Goldstone's theorem on a null-plane. Focusing on null-plane QCD with N degenerate flavors of light quarks, the chiral-symmetry breaking Hamiltonians are obtained, and the role of vacuum condensates is clarified. In particular, the null-plane Gell-Mann-Oakes-Renner formula is derived, and a general prescription is given for mapping all chiral-symmetry breaking QCD condensates to chiral-symmetry conserving null-plane QCD condensates. The utility of the null-plane description lies in the operator algebra that mixes the null-plane Hamiltonians and the chiral symmetry charges. It is demonstrated that in a certain non-trivial limit, the null-plane operator algebra reduces to the symmetry group SU(2N) of the constituent quark model.}}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Beane, Silas R.}, biburl = {https://www.bibsonomy.org/bibtex/26fc11ef7dc38b3c6962a58fdfd35646e/cmcneile}, citeulike-article-id = {12004728}, citeulike-linkout-0 = {http://arxiv.org/abs/1302.1600}, citeulike-linkout-1 = {http://arxiv.org/pdf/1302.1600}, day = 6, eprint = {1302.1600}, interhash = {64ea8e4c3d5d465909fe7cba0cbef7f0}, intrahash = {6fc11ef7dc38b3c6962a58fdfd35646e}, keywords = {condensate}, month = feb, posted-at = {2013-02-08 08:56:44}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Broken Chiral Symmetry on a Null Plane}}, url = {http://arxiv.org/abs/1302.1600}, year = 2013 }