29 October 2023 to 3 November 2023
Congressi Stefano Franscini (CSF)
Europe/Zurich timezone

Using transformers to calculate scattering amplitudes

1 Nov 2023, 09:50
10m
Congressi Stefano Franscini (CSF)

Congressi Stefano Franscini (CSF)

Monte Verità, Ascona, Switzerland
YSF oral presentation Young Scientist Forum

Speaker

Garret Merz

Description

We pursue the use of Transformers to compute scattering amplitudes in planar N = 4 super-Yang-Mills theory, a quantum field theory closely related to Quantum Chromodynamics (QCD). By expanding multiple polylogarithm functions in the Feynman integrals using the symbol map, we formulate scattering amplitudes in a language-based representation that is amenable to Transformer architectures and standard training objectives. We then show that an encoder-decoder Transformer can achieve high accuracy (> 98%) on two tasks in this representation- prediction of the integer coefficients of individual terms at a given loop order from the terms themselves, and prediction of coefficients at one loop order from a related subset of coefficients at a lower loop order. Finally, we explore interesting properties of the learning dynamics and representations learned by our model.

Primary author

Garret Merz

Co-author

Kyle Stuart Cranmer (University of Wisconsin Madison (US))

Presentation materials