CHIRAL LOGARITHMS IN QUENCHED M-PI AND F-PI

A diagrammatic analysis predicts that, in the quenched approximation, there should be no chiral logarithms, at leading order, in m or f, for gauge groups SU(N3). Morel has done an explicit calculation in the strong-gauge-coupling, large-dimension limit, and finds that there are such logarithms. I point out that Morel's calculation is of a quantity different from the quenched pion propagator. I show that if one calculates the correct quantity then there are no chiral logarithms. For SU(2), however, the diagrammatic analysis predicts that there are chiral logarithms in quenched m and f. © 1990 The American Physical Society.