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.

Testing machine-learned distributions against Monte Carlo data for the QCD chiral phase transition

This paper demonstrates that conditional Masked Autoregressive Flows can efficiently interpolate lattice QCD observables across bare parameters to locate phase boundaries and critical points, offering a practical tool to reduce the computational cost of Monte Carlo simulations despite current limitations in precision near first-order transitions due to mode-covering effects.

Reinhold Kaiser, Frithjof Karsch, Jan Philipp Klinger, Owe Philipsen, Christian Schmidt, Simran Singh2026-05-11⚛️ hep-lat

Perturbative, Nonperturbative and Exact Aspects of Crystalline Phases in the Gross-Neveu Model

This paper provides a comprehensive, multi-method analysis (perturbative, semiclassical large-NN, and integrability) of the O(2N)O(2N) Gross-Neveu model, demonstrating that at large chemical potential, the system enters a consistent crystalline phase characterized by the condensation of bound states and the emergence of two new dynamically generated scales that govern nonperturbative effects and the oscillatory chiral condensate.

Francesco Benini, Ohad Mamroud, Tomas Reis, Marco Serone2026-05-08⚛️ hep-th

Diffusion model for SU(N) gauge theories

This paper introduces a score-matching diffusion model framework for sampling SU(N) lattice gauge theories, demonstrating its successful application to SU(3) configurations in two and four dimensions and showing that incorporating a Hamiltonian molecular dynamics-based corrector significantly improves sampling quality for large inverse coupling values despite increased computational cost.

Javad Komijani, Marina K. Marinkovic, Lara Turgut2026-05-08⚛️ hep-lat

The strange and flavor-singlet axial form factors of the nucleon from lattice QCD

This work presents a comprehensive lattice-QCD determination of the flavor-singlet and strange axial form factors of the nucleon using Nf=2+1N_f = 2+1 CLS gauge configurations with O(a)O(a)-improved Wilson fermions, providing a complete error budget for the extrapolations with respect to chiral symmetry, the continuum limit, and infinite volume, with a specific focus on the treatment of discontinuous contributions.

Alessandro Barone, Dalibor Djukanovic, Georg von Hippel, Harvey B. Meyer, Konstantin Ottnad, Hartmut Wittig2026-05-08⚛️ hep-lat

Scalar molecules ηbBc\eta _{b}B_{c}^{-} and ηcBc+\eta _{c}B_{c}^{+} with asymmetric quark contents

Using the QCD sum rule method, this paper investigates the masses, decay widths, and dominant decay channels of the hypothetical scalar molecules Mb\mathcal{M}_{b} (bbbcbb\overline{b}\overline{c}) and Mc\mathcal{M}_{c} (cccbcc\overline{c}\overline{b}), predicting them to be strong-interaction unstable particles with masses of approximately 15.7 GeV and 9.7 GeV, respectively, to guide future experimental searches.

S. S. Agaev, K. Azizi, H. Sundu2026-05-07⚛️ hep-lat

Pressure-Energy Equations of State of the Nucleon

This work derives pressure-energy equations of state for the nucleon from gravitational form factors and the conservation of the energy-momentum tensor, revealing a fundamental balance between pressure-induced static pressure (associated with condensate depletion and confinement) and traceless dynamic pressure, while simultaneously demonstrating that the same relations also apply to vortices in type-II superconductors and the cosmological constant in the Λ\LambdaCDM model.

Keh-Fei Liu2026-05-07⚛️ hep-lat