Ranner, T., Ipp, A., & Müller, D. (2025, August 21). Sampling lattice field theories with diffusion models [Conference Presentation]. Joint Annual Meeting of the Austrian and Swiss Physical Society (ÖPG and SPS 2025), Wien, Austria. https://doi.org/10.34726/11418
Joint Annual Meeting of the Austrian and Swiss Physical Society (ÖPG and SPS 2025)
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Event date:
18-Aug-2025 - 22-Aug-2025
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Event place:
Wien, Austria
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Keywords:
lattice field theory; diffusion model; lattice gauge theory
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Abstract:
I will present my work on the application of generative diffusion models in lattice field theory, a non-perturbative approach to quantum field theory. Diffusion models are a class of generative machine learning models which utilize stochastic processes to draw high-dimensional data from complex probability distributions. While they were introduced mainly for image-generation, they can be applied to a wide range of problems, including lattice field theory. We utilize them to draw field configurations of scalar and U(1) pure gauge lattice field theories. I will discuss the generative performance of the model, the main caveat of this method, and the physical interpretation of the trained neural network. Further, I will talk about the connection between diffusion models and renormalization group transformations.
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Project title:
Maschinelles Lernen mit Renormierungsgruppe für Gitter QCD: PAT3667424 (FWF - Österr. Wissenschaftsfonds)