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What we are looking at here is a $\sigma$-model that exemplifies strong chiral symmetry breaking. The theory first only contains a massless Dirac spinor $\psi$, which is assumed to transform in the fundamental representation1 of a global $\mathrm{SU}(2)_\text{iso}$ symmetry. The Lagrangian contains only the kinetic term: $$ L[\psi] = \mathrm{i} \bar\psi ...

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