Abstract

It is suggested that spontaneous breakdown of chiral symmetry in QCD takes place because a special class of gauge-field configurations (``fermion guides'') allow massless quarks to propagate to arbitrarily large distance with an undiminished amplitude. By functional averaging over fermion guide fields an estimate of the pseudoscalar correlation functions 〈q${\ifmmode\bar\else\textasciimacron\fi{}}_{1}$${\ensuremath{\gamma}}_{5}$${q}_{2}$(x)q${\ifmmode\bar\else\textasciimacron\fi{}}_{1}$${\ensuremath{\gamma}}_{5}$q $_{2}$(0)〉 reveals the formation of light pseudoscalar q\ifmmode\bar\else\textasciimacron\fi{}q bound states with mass proportional to (${m}_{1}$+${m}_{2}$${)}^{1/2}$\ensuremath{\Lambda} for quark masses ${m}_{1}$,${m}_{2}$ much smaller than the QCD mass scale \ensuremath{\Lambda}. It is shown that unwanted light scalar, vector, or axial-vector states are not produced by this mechanism. The dynamical scheme by which the would-be axial-U(1) Goldstone particle acquires a mass is also discussed.

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