ML for Feynman Periods

Predicting Feynman periods in φ⁴-theory with machine learning

Feynman periods are rational numbers encoding the perturbative expansion of quantum field theories. Computing them analytically is extremely hard — they grow doubly exponentially in the loop order.

This project applies machine learning to predict Feynman periods from graph-theoretic features of the underlying Feynman diagrams. We show that neural networks can capture non-trivial combinatorial structure in φ⁴-theory, providing fast approximations that complement symbolic methods.

This work was done with Dr. Paul-Hermann Balduf during my MMath at the University of Waterloo.

Links: Paper (JHEP) · Thesis

(Balduf & Shaban, 2024)

References

2024

  1. JHEP
    Predicting Feynman periods in φ^4-theory
    Paul-Hermann Balduf and Kimia Shaban
    Journal of High Energy Physics, Nov 2024