  The eigenvalues of the Dirac operator at finite volume encode whether or not
chiral symmetry is spontaneously broken in a massless theory. We apply this
framework in a particular BSM context, namely SU(3) gauge theory with N_f=2
massless flavors in the 2-index symmetric (sextet) representation. Our first
results are at a single lattice spacing. We find that both the density of
near-zero eigenvalues and the renormalization group invariant mode number
indicate spontaneous symmetry breaking. Quantitatively, there is a discrepancy
between the determination of the fermion condensate in the chiral limit via the
eigenvalue spectrum and the determinations from direct measurements of the
chiral condensate and the GMOR relation. We comment on possible explanations of
this discrepancy and further refinements of this study.
