Abstract
We examine the role of instantons in the zero-temperature chiral phase transition in an SU( N) gauge theory. For a range of N f (the number of fermion flavors) depending on N, the theory exhibits an infrared fixed point at coupling α ∗ . As N f decreases, α ∗ increases, and it eventually exceeds a critical value sufficient to trigger chiral symmetry breaking. For the case N = 2, we estimate the critical values of N f and α ∗ due to instantons by numerically solving a gap equation with an instanton-generated kernel. We find instanton effects of strength comparable to that of gluon exchange.
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