Neural networks reveal a universal bias in conformal correlators
Abstract
We propose that simple neural networks (NNs) trained on crossing symmetry can reconstruct conformal correlators restricted to a line to remarkable accuracy. The input is minimal: an external scaling dimension, a spectral gap, and the value of the correlator at a single point. We present evidence across a wide range of conformal theories and dimensions, for both four-point and thermal two-point functions. We attribute these observations to the spectral bias of gradient-based NN training, which appears to align with an intrinsic smoothness property of conformal field theory. This suggests a novel variational principle for conformal correlators and opens a path towards a powerful new computational framework for non-perturbative quantum field theory.
Fields of Study & Subjects
Stochastic Gradient Optimization Techniques
Neural Networks and Applications
Generative Adversarial Networks and Image Synthesis
Publication details
- Journal / source
- Physics Letters B
- Publisher
- Elsevier BV
- Volume
- 880
- Pages
- 140708–140708
- Publication date
- 6 July 2026
- Language
- EN