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.

Efficient construction of Z2\mathbb{Z}_2 gauge-invariant bases for the Quantum Minimally Entangled Typical Thermal States algorithm

This paper presents an efficient implementation of the Quantum Minimally Entangled Typical Thermal States (QMETTS) algorithm for Z2\mathbb{Z}_2 gauge theories at finite temperature and density, featuring derived measurement bases to preserve gauge invariance, a noise-robust sampling method for expectation values, and numerical validation on a (1+1)-dimensional model.

Reita Maeno2026-03-12⚛️ hep-lat

A conjecture on the lower bound of the length-scale critical exponent ν\nu at continuous phase transitions

This paper conjectures a lower bound for the critical exponent ν\nu in continuous phase transitions described by Landau-Ginzburg-Wilson Φ4\Phi^4 theories, proposing the inequality ν(2η)1\nu \ge (2-\eta)^{-1} (which implies ν1/2\nu \ge 1/2 for unitary theories) based on the condition Δε2Δφ\Delta_\varepsilon \ge 2 \Delta_\varphi, a hypothesis supported by arguments from lattice models, ϵ\epsilon-expansions, and exact two-dimensional conformal field theory results.

Andrea Pelissetto, Ettore Vicari2026-03-11⚛️ hep-lat

How to formulate the Z8\mathbb{Z}_8 topological invariant of Majorana fermion on the lattice

This paper proposes and numerically verifies a lattice formulation of the Z8\mathbb{Z}_8-valued Arf-Brown-Kervaire invariant for Majorana fermions on two-dimensional non-oriented manifolds, demonstrating that it can be extracted from Pfaffians of the Wilson Dirac operator and agrees with continuum theory results.

Sho Araki, Hidenori Fukaya, Tetsuya Onogi, Satoshi Yamaguchi2026-03-11🔬 cond-mat.mes-hall

Scattering of ΛcΛc\Lambda_{c}\Lambda_{c} and ΛcΛˉc\Lambda_{c}\bar{\Lambda}_{c} in chiral effective field theory

Using a unified chiral effective field theory framework calibrated with lattice QCD data, this study predicts repulsive interactions for the ΛcΛc\Lambda_c\Lambda_c system while identifying strong attractive forces in the ΛcΛˉc\Lambda_c\bar{\Lambda}_c system that support bound states, with significant mass splitting between channels driven by two-pion exchange spin-spin terms.

Zhe Liu, Hao Xu, Zhan-Wei Liu, Xiang Liu2026-03-11⚛️ hep-ph

First-Principles Determination of the Proton-Proton Fusion Matrix Element from Lattice QCD

This paper presents a first-principles lattice QCD calculation of the proton-proton fusion matrix element at an unphysical pion mass, demonstrating the feasibility of the approach while highlighting that large uncertainties in two-nucleon scattering parameters currently limit the precision of the extracted low-energy constant L1,AL_{1,A}.

Zi-Yu Wang, Xu Feng, Bo-Hao Jian, Lu-Chang Jin, Chuan Liu2026-03-11⚛️ hep-lat