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

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-$N_c$ limit.
Document type :
Conference papers

http://hal.in2p3.fr/in2p3-01234635
Contributor : Sophie Heurteau <>
Submitted on : Friday, November 27, 2015 - 10:56:39 AM
Last modification on : Friday, April 30, 2021 - 10:21:29 AM

### Citation

H. Sazdjian. On the role of dynamical quark mass generation in chiral symmetry breaking in QCD. 18th Montpellier International Conference on Quantum Chromodynamics (QCD 15), Jun 2015, Montpellier, France. pp.93-97, ⟨10.1016/j.nuclphysbps.2016.02.020⟩. ⟨in2p3-01234635⟩

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