Quantum mass corrections for affine Toda solitons Original Research Article

We calculate the first quantum corrections to the masses of solitons in some imaginary-coupling affine Toda theories using the semi-classical method of Dashen, Hasslacher and Neveu. The theories divide naturally into those based on the simply-laced, the twisted and the untwisted nonsimply-laced algebras. We find that the classical relationships between soliton and particle masses found by Olive et al. persist for the first two classes, but do not appear to do so naively for the third.