TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.3.077
TI  - Super-resolving normalising flows for lattice field theories
PY  - 2025/09/26
UR  - https://www.scipost.org/SciPostPhys.19.3.077
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 3
SP  - 077
A1  - Bauer, Marc
AU  - Kapust, Renzo
AU  - Pawlowski, Jan M.
AU  - Temmen, Finn Leon
AB  - We propose a renormalisation group inspired normalising flow that combines benefits from traditional Markov chain Monte Carlo methods and standard normalising flows to sample lattice field theories. Specifically, we use samples from a coarse lattice field theory and learn a stochastic map to the targeted fine theory. The devised architecture allows for systematic improvements and efficient sampling on lattices as large as $128 × 128$ in all phases when only having sampling access on a $4× 4$ lattice. This paves the way for reaping the benefits of traditional MCMC methods on coarse lattices while using normalising flows to learn transformations towards finer grids, aligning nicely with the intuition of super-resolution tasks. Moreover, by optimising the base distribution, this approach allows for further structural improvements besides increasing the expressivity of the model.
ER  -

@Article{10.21468/SciPostPhys.19.3.077,
	title={{Super-resolving normalising flows for lattice field theories}},
	author={Marc Bauer and Renzo Kapust and Jan Martin Pawlowski and Finn Leon Temmen},
	journal={SciPost Phys.},
	volume={19},
	pages={077},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.3.077},
	url={https://scipost.org/10.21468/SciPostPhys.19.3.077},
}