Effective quark Lagrangian in the instanton-gas model

A straightforward derivation of the effective quark Lagrangian is presented for the topologically neutral chiral broken phase of the dilute instanton gas. The resulting quark Lagrangian is a nonlocal NJL-type and contains 4q, 6q, … vertices for any number of flavours. Correspondence of this result with previously known in literature is discussed in detail.