Revisiting Soliton Contributions to Perturbative Amplitudes

Abstract

It is often said that soliton contributions to perturbative processes in QFT are exponentially suppressed by a form factor. We provide a new derivation of this form factor for a class of scalar theories with generic soliton moduli. The derivation treats the soliton momenta relativistically and is valid at leading order in momentum transfer. The computation reduces to a matrix element in the quantum mechanics on the soliton moduli space. We investigate the conditions under which the latter leads to suppression. Extending this framework to instanton-solitons in five-dimensional Yang-Mills theory leaves open the possibility that such contributions will not be suppressed.

Latex, 25 pages; v2: Clarifications added and typos corrected; v3: Significant improvements in the discussion of the relativistic form factor. Qualitative results unchanged; v4: Published version; v5: Major revision, some conclusions modified

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