# 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.
Type de document :
Pré-publication, Document de travail
5 pages, PDFLaTeX, uses elsarticle class. Talk given at the International Conference QCD 15, Mont.. 2015

http://hal.in2p3.fr/in2p3-01234635
Contributeur : Sophie Heurteau <>
Soumis le : vendredi 27 novembre 2015 - 10:56:39
Dernière modification le : jeudi 11 janvier 2018 - 06:12:41

### Identifiants

• HAL Id : in2p3-01234635, version 1
• ARXIV : 1510.01508

### Citation

H. Sazdjian. On the role of dynamical quark mass generation in chiral symmetry breaking in QCD. 5 pages, PDFLaTeX, uses elsarticle class. Talk given at the International Conference QCD 15, Mont.. 2015. 〈in2p3-01234635〉

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