HILA's APIs have wild range of applications. They can be used for case as simple as solving a partial differential equation, and also fully support Monte Carlo simulations of lagrangian appearing in QFT and statistics. Here is the list of work built upon HILA.
Scaling density of axion strings in terasite simulations
Jose Correia, Mark Hindmarsh, Joanes Lizarraga, Asier Lopez-Eiguren, Kari Rummukainen,and Jon Urrestilla. e-preprint:arXiv:2410.18064 (2024)
A-B Transition in Superfluid He and Cosmological Phase Transitions
Mark Hindmarsh, J. A. Sauls, Kuang Zhang, S. Autti, Richard P. Haley, Petri J. Heikkinen, Stephan J. Huber, Lev V. Levitin, Asier Lopez-Eiguren, Adam J. Mayer, Kari Rummukainen, John Saunders & Dmitry Zmeev. J Low Temp Phys 215, 495–524 (2024).
Shape of the hot topological charge density spectral function.
M. Laine, L. Niemi, S. Procacci & K. Rummukainen. J. High Energ. Phys. 2022, 126 (2022).