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 :
Preprints, Working Papers, ...

http://hal.in2p3.fr/in2p3-01234635
Contributor : Sophie Heurteau <>
Submitted on : Friday, November 27, 2015 - 10:56:39 AM
Last modification on : Thursday, January 11, 2018 - 6:12:41 AM

Identifiers

• 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. 2015. ⟨in2p3-01234635⟩

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