For 2D SU(2) gauge theory with one massless Majorana fermion, only one of the two overlap zero-mode classes survives the continuum limit depending on boundary conditions, and a zero-mode-excluding 'topological condensate' is nonzero without spontaneous symmetry breaking.
A study of chiral symmetry in quenched QCD using the Overlap-Dirac operator
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abstract
We compute fermionic observables relevant to the study of chiral symmetry in quenched QCD using the Overlap-Dirac operator for a wide range of the fermion mass. We use analytical results to disentangle the contribution from exact zero modes and simplify our numerical computations. Details concerning the numerical implementation of the Overlap-Dirac operator are presented.
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Lattice study of two-dimensional SU(2) gauge theories with a single massless Majorana fermion
For 2D SU(2) gauge theory with one massless Majorana fermion, only one of the two overlap zero-mode classes survives the continuum limit depending on boundary conditions, and a zero-mode-excluding 'topological condensate' is nonzero without spontaneous symmetry breaking.