hep-lat papers | Gist.Science

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.

Fermion Discretization Effects in the Two-Flavor Lattice Schwinger Model: A Study with Matrix Product States

This study employs Matrix Product States to investigate fermion discretization effects in the two-flavor lattice Schwinger model, demonstrating that twisted mass fermions offer superior convergence to the continuum limit and reduced finite-volume dependence compared to staggered and Wilson formulations, thereby validating their potential for future Hamiltonian simulations of higher-dimensional gauge theories.

Tim Schwägerl, Karl Jansen, Stefan Kühn2026-04-14⚛️ hep-lat

The color force acting on a quark in the pion and nucleon

This paper utilizes the instanton liquid model enhanced by correlated instanton-anti-instanton pairs to derive and analyze the transverse distribution of the color Lorentz force acting on quarks in pions and nucleons, demonstrating that these force form factors are intimately related to gravitational and transversity form factors and yield results for nucleons consistent with recent lattice QCD calculations.

Wei-Yang Liu, Edward Shuryak, Ismail Zahed2026-04-14⚛️ hep-lat

Tori, Klein Bottles, and Modulo 8 Parity/Time-reversal Anomalies of 2+1d Staggered Fermions

This paper investigates the symmetries and 't Hooft anomalies of 2+1d lattice staggered fermions on sheared tori and Klein bottles, establishing a nontrivial mapping between lattice and continuum symmetries to successfully match their anomalies while developing a general formalism for Hamiltonian lattice models on compact flat spaces.

Nathan Seiberg, Wucheng Zhang2026-04-14⚛️ hep-lat

RG-Invariant Symmetry Ratio for QCD: A Study of $U(1)_A$ and Chiral Symmetry Restoration

Using an RG-invariant symmetry ratio on $N_f=2+1+1$ lattice QCD data, this study demonstrates that while a hierarchy of symmetry-breaking strengths exists at finite lattice spacing, the continuum extrapolation reveals that $SU(2)_L \times SU(2)_R$ and $U(1)_A$ chiral and axial symmetry restoration in the nonsinglet sector converge closely near the chiral crossover, supporting a two-stage restoration scenario where full symmetry recovery requires higher temperatures to suppress topological fluctuations.

Ting-Wai Chiu, Tung-Han Hsieh2026-04-14⚛️ hep-lat

Proof of entropic order in Generalized Ising Models

This paper provides a rigorous proof that generalized Ising models with interaction parameter $p \ge 1$ exhibit "entropic order" at arbitrarily high temperatures and solve NP-hard graph packing problems, leading to the emergence of a novel "entropic glass" phase on arbitrary graphs.

Enrico Andriolo, Mendel Nguyen, Emily Richards, Tin Sulejmanpasic2026-04-14⚛️ hep-lat

Understanding the structure of nucleon excitations from their wavefunctions

This paper utilizes approximately 4000 lattice QCD propagators on a heavy pion ensemble to analyze relativistic nucleon wavefunctions, revealing that the observed node structure in the spectrum arises from two distinct mechanisms: "superposition nodes" created by combining interpolating fields and novel "built-in nodes" inherent to the s-wave Dirac components of individual fields.

Jackson A. Mickley, Waseem Kamleh, Derek B. Leinweber, Finn M. Stokes2026-04-14⚛️ hep-lat

William A. Bardeen -- A Brief Biography

This paper presents a brief biography of William A. Bardeen (1941–2025), an American theoretical physicist at Fermilab renowned for his foundational contributions to the chiral anomaly, quantum chromodynamics, dynamical electroweak symmetry breaking, and heavy-light quark bound states.

Christopher T. Hill2026-04-14⚛️ hep-lat

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 $\phi^4$ theory near criticality.

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

Pion Weak Decay in a Magnetic Field

This paper compares the pion decay width in a uniform magnetic field calculated via chiral perturbation theory with lattice QCD results, finding consistency at large magnetic fields while attributing discrepancies at weak fields to differences in pion decay constants.

Prabal Adhikari, Brian Tiburzi2026-04-14⚛️ hep-lat

Resonance $X(6600)$

This paper utilizes QCD sum rule methods to model the resonance $X(6600)$ as a $2^{++}$ all-charm tetraquark in a diquark-antidiquark configuration, calculating its mass and decay widths to demonstrate consistency with experimental data and support its interpretation as a tensor state.

S. S. Agaev, K. Azizi, H. Sundu2026-04-14⚛️ hep-lat

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