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On the role of dynamical quark mass generation in chiral symmetry breaking in QCD

Research paper by H. Sazdjian

Indexed on: 06 Apr '16Published on: 04 Apr '16Published in: Nuclear and Particle Physics Proceedings



Abstract

The phenomenon of dynamical quark mass generation is studied in QCD within the framework of a gauge invariant formalism. An exact relationship is established between the equation satisfied by the scalar part of the two-point gauge invariant quark Green's function and the quark-antiquark bound state equation in the chiral limit. A possible nontrivial solution of the former yields a massless pseudoscalar solution of the bound state equation with vanishing total momentum. The result is also corroborated by the corresponding Ward-Takahashi identity. The problem is explicitly solved in two-dimensional QCD in the large-Nc limit.