Learning S-Matrix Phases with Neural Operators

arXiv:2404.14551v1 Announce Type: cross
Abstract: We use Fourier Neural Operators (FNOs) to study the relation between the modulus and phase of amplitudes in $2\to 2$ elastic scattering at fixed energies. Unlike previous approaches, we do not employ the integral relation imposed by unitarity, but instead train FNOs to discover it from many samples of amplitudes with finite partial wave expansions. When trained only on true samples, the FNO correctly predicts (unique or ambiguous) phases of amplitudes with infinite partial wave …

abstract arxiv cs.lg elastic fourier hep-th integral matrix modulus operators samples study train type