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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.
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http://hal.in2p3.fr/in2p3-01234635
Contributor : Sophie Heurteau <>
Submitted on : Friday, November 27, 2015 - 10:56:39 AM
Last modification on : Wednesday, September 16, 2020 - 4:09:17 PM

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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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