Instantons and the Chiral Phase Transition

Details Instantons and the Chiral Phase Transition Instantons and the Chiral Phase Transition

1997-02-23

arxiv.org/abs/hep-ph/9702404v1

Phys.Lett. B400 (1997) 364-369

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 9 pages, including 2 figures in EPS format

Scientific paper

10.1016/S0370-2693(97)00369-9

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 $\alpha_*$. As N_f decreases, $\alpha_*$ 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 $\alpha_*$ 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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