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Criterion for dynamical chiral symmetry breaking

Bithika Jain·Indrajit Mitra·H. S. Sharatchandra
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Abstract

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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BibTeXRIS

Bithika Jain, Indrajit Mitra, H. S. Sharatchandra. 2007-12-24. Criterion for dynamical chiral symmetry breaking. https://doi.org/10.1103/physrevd.76.025020

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