Criterion for dynamical chiral symmetry breaking

Details Criterion for dynamical chiral symmetry breaking Criterion for dynamical chiral symmetry breaking

2007-03-06

arxiv.org/abs/hep-th/0703050v4

Phys.Rev.D76:025020,2007

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 2 figures; made minor changes, published version

Scientific paper

10.1103/PhysRevD.76.025020

The Bethe-Salpeter equation is related to a generalized quantum-mechanical Hamiltonian. Instability of the presumed vacuum, indicated by a tachyon, is related to a negative energy eigenstate of this Hamiltonian. The variational method shows that an arbitrarily weak long-range attraction leads to chiral symmetry breaking, except in the scale-invariant case when the instability occurs at a critical value of the coupling. In the case of short-range attraction, an upper bound for the critical coupling is obtained.

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