Hep-Lat, short for High Energy Physics – Lattice, explores the fundamental forces of nature by simulating particle interactions on a digital grid. Instead of relying solely on abstract equations, researchers in this field use powerful computers to model how quarks and gluons bind together, offering deep insights into the structure of matter that are often impossible to derive analytically.

Gist.Science ensures these complex discoveries from arXiv remain accessible to everyone. We process every new preprint in this category as it is posted, providing both plain-language explanations for the curious and detailed technical summaries for experts. This dual approach bridges the gap between cutting-edge simulation work and broader scientific understanding.

Below are the latest papers in High Energy Physics – Lattice, curated directly from arXiv and ready for you to explore.

⚛️ lattice

Scalable Generative Sampling and Multilevel Estimation for Lattice Field Theories Near Criticality

This paper introduces a multiscale generative sampler that combines conditional Gaussian mixture models and masked continuous normalizing flows to overcome critical slowing down in lattice field theories, achieving significantly reduced autocorrelation times and enabling unbiased Multilevel Monte Carlo variance reduction for the two-dimensional scalar ϕ4\phi^4 theory near criticality.

A. Singha, J. Kauffmann, E. Cellini, K. Jansen, S. Nakajima2026-04-14
⚛️ lattice

SU(2) gauge theory with one and two adjoint fermions towards the continuum limit

This paper presents an extended lattice study of SU(2) gauge theories with one and two adjoint fermion flavors, utilizing multiple methods to demonstrate that both theories reside in the conformal window with chiral symmetry unbroken, yielding continuum-limit anomalous dimensions of approximately 0.170 and 0.291, respectively.

Andreas Athenodorou, Ed Bennett, Georg Bergner, Pietro Butti, Julian Lenz, Biagio Lucini2026-04-13
⚛️ lattice

Capturing the Atiyah-Patodi-Singer index from the lattice

This paper presents a lattice gauge theory formulation that successfully captures the continuum Atiyah-Patodi-Singer index for Dirac operators on domains with compact boundaries by exploiting its equivalence to the spectral flow of generalized domain-wall fermion operators, proving its validity for sufficiently small lattice spacings.

Shoto Aoki, Hajime Fujita, Hidenori Fukaya, Mikio Furuta, Shinichiroh Matsuo, Tetsuya Onogi, Satoshi Yamaguchi2026-04-13
⚛️ lattice

Exact SL(2,Z)-Structure of Lattice Maxwell Theory with θ\theta-term in Modified Villain Formulation

This paper demonstrates that lattice Maxwell theory with a θ\theta-term in a modified Villain formulation exhibits an exact SL(2,Z) duality by employing a non-local transformation within the S-transformation to eliminate non-locality in the absence of monopoles, resulting in a structure for Wilson loops that closely resembles that of non-spin Maxwell theory.

Shoto Aoki, Yoshio Kikukawa, Toshinari Takemoto2026-04-13
⚛️ lattice

Lattice Realizations of Flat Gauging and T-duality Defects at Any Radius

Using modified Villain discretization on both Euclidean lattices and quantum chains, this paper demonstrates that non-invertible topological interfaces arising from flat gauging and T-duality in the two-dimensional compact boson survive discretization by generating non-compact edge modes with infinite quantum dimension, while also showing how these modes can be compactified at rational radii to yield standard defects with finite quantum dimension.

Riccardo Argurio, Giovanni Galati, Nathan Godechal2026-04-13