Instantons and the Chiral Phase Transition
Thomas Appelquist, Stephen B. Selipsky
Abstract
We examine the role of instantons in the zero-temperature chiral phase transition in an SU(N) gauge theory. For a range of Nf (the number of fermion flavors) depending on N, the theory exhibits an infrared fixed point at coupling α*. As Nf 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 Nf 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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