Machine Learning Approaches for Solving Dyson-Schwinger Equations in the Complex Plane

Apr 4, 2025, 10:50 AM
20m
DESY

DESY

Talk Talks

Speaker

Dr Andreas Windisch (Washington University in St. Louis, JOANNEUM RESEARCH)

Description

Dyson-Schwinger equations (DSEs) are essential tools in quantum field theory for describing particle interactions. Solving these equations in the complex plane presents challenges due to mathematical obstacles like poles and branch cuts. We propose a machine learning approach using deep learning and deep reinforcement learning to automate the detection of these obstacles and adjust integration paths accordingly. This method aims to enhance the efficiency and practicality of solving DSEs, with potential applications in understanding complex physical systems. We outline our approach, discuss initial results, and suggest future steps for this innovative technique.

Primary author

Dr Andreas Windisch (Washington University in St. Louis, JOANNEUM RESEARCH)

Co-authors

Dr Thomas Gallien (JOANNEUM RESEARCH) Dr Christopher Schwarz

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