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The validity of recently proposed equivalence between valence spontaneouschiral symmetry breaking (vSChSB) and chiral polarization of low energy Diracspectrum (ChP) in SU(3) gauge theory, is examined for the case of twelvemass-degenerate fundamental quark flavors. We find that the vSChSB-ChPcorrespondence holds for regularized systems studied. Moreover, our resultssuggest that vSChSB occurs in two qualitatively different circumstances: thereis a quark mass $m_c$ such that for $m > m_c$ the mode condensing Diracspectrum exhibits standard monotonically increasing density, while for $m_{ch}< m < m_c$ the peak around zero separates from the bulk of the spectrum, withdensity showing a pronounced depletion at intermediate scales. Valence chiralsymmetry restoration may occur at yet smaller masses $m < m_{ch}$, but this hasnot yet been seen by overlap valence probe, leaving the $m_{ch}=0$ possibilityopen. The latter option could place massless N$_f$=12 theory outside ofconformal window. Anomalous behavior of overlap Dirac spectrum for $m_{ch} < m< m_c$ is qualitatively similar to one observed previously in zero andfew-flavor theories as an effect of thermal agitation.

Broken Valence Chiral Symmetry and Chiral Polarization of Dirac Spectrum in N$_f$=12 QCD at Small Quark Mass