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.
Keywords
Cite
@article{arxiv.1404.0016,
title = {Revisiting Soliton Contributions to Perturbative Amplitudes},
author = {Constantinos Papageorgakis and Andrew B. Royston},
journal= {arXiv preprint arXiv:1404.0016},
year = {2020}
}
Comments
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