Chiral Symmetry Breaking via Multi-fermion Green Functions

Details Chiral Symmetry Breaking via Multi-fermion Green Functions Chiral Symmetry Breaking via Multi-fermion Green Functions

1995-05-22

arxiv.org/abs/hep-ph/9505364v2

Phys.Rev. D53 (1996) 967-973

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, LaTeX + 3 figures, version to be published

Scientific paper

10.1103/PhysRevD.53.967

Previous results on fermion chirality-flipping four-point functions are extended to $SU(N)$ gauge theories. The problem is purely non-perturbative, and it is approached by truncating the Schwinger-Dyson hierarchy. The large-$N$ limit also simplifies the problem substantially. The resulting equation is solved numerically by relaxation techniques and an estimate of the critical coupling and momentum behavior is obtained. We also comment on the behavior of chirality-flipping $2n$-point functions for general $n$.

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