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

Multilevel Plaquette-Space Sampling for Lattice Gauge Theories with Local Constraint Solves

This paper introduces a multilevel normalizing-flow sampler that operates directly in plaquette space by employing a coarse-to-fine factorization to exactly satisfy local Bianchi constraints, thereby overcoming the learning challenges of long-range correlations in link-space models and significantly outperforming traditional methods, particularly in the weak-coupling regime.

Ankur Singha, Jacob Finkenrath, Karl Jansen, Vipul Arora, Shinichi Nakajima2026-09-29
⚛️ lattice

Non-abelian quantum cellular automata: 1+11{+}1-dimensional SU(2)SU(2) Yang--Mills with fermions

This paper presents a digital quantum simulation scheme for 1+11{+}1-dimensional SU(2)SU(2) Yang--Mills theory with Dirac fermions, formulated as an infinitely repeating quantum circuit that derives gauge symmetry and dynamics from a Dirac quantum walk using a pointwise-product update structure to ensure unitarity and gauge covariance without relying on Clebsch--Gordan decompositions.

Dogukan Bakircioglu, Pablo Arrighi2026-09-28
⚛️ lattice

Non-stabilizerness and entanglement in (2+1)(2+1)-dimensional SU(2) lattice gauge theory using tensor networks

Using matrix product states to study (2+1)(2+1)-dimensional SU(2) lattice gauge theory, this paper proves a stronger lower bound for non-local magic and demonstrates that this intrinsic, encoding-independent quantity serves as a more robust and computationally efficient probe of gauge-matter delocalization than traditional entanglement measures.

Raghav G. Jha, Jaber I. Taher, Muhammad Asaduzzaman, Goksu C. Toga, Bojko N. Bakalov, Alexander F. Kemper2026-09-25
⚛️ lattice

Fermion bag study of the two-dimensional Majorana-Hubbard model at finite hopping

This paper presents quantum Monte Carlo simulations of the two-dimensional Majorana-Hubbard model at finite hopping using Hamiltonian fermion bags to overcome the sign problem, revealing that interactions enhance dimerization, partially restore emergent U(1)U(1) symmetry while preserving a lattice-nematic anisotropy, and support a gapless semimetal phase within the sign-problem-minimal parameter window.

Mark Johnston, Emilie Huffman2026-09-24
⚛️ lattice

A variational framework for variance reduction in lattice field theory

This paper introduces a variational framework that addresses the signal-to-noise problem in lattice field theory by recasting it as a transport problem, where optimal transport methods like Langevin dynamics or normalizing flows are used to align sampling distributions with the requirements for measuring observables, thereby reducing variance.

Pietro Butti, Guilherme Catumba, Alessandro Nada, Louis Spatscheck2026-09-24
⚛️ lattice

Unveiling the Collins-Soper kernel in inclusive DIS at threshold

This paper revisits the factorization of inclusive deep inelastic scattering near the kinematic threshold using collinear, off-light-cone operators to demonstrate that the Collins-Soper kernel universally governs rapidity evolution in both this process and transverse-momentum-dependent semi-inclusive DIS, thereby resolving outstanding issues regarding soft radiation and rapidity divergences.

Andrea Simonelli, Alberto Accardi, Matteo Cerutti, Caroline S. R. Costa, Andrea Signori2026-09-23