hep-lat

Gauge-Equivariant Graph Neural Networks for Lattice Gauge Theories

This paper introduces a gauge-equivariant graph neural network that embeds non-Abelian local symmetries directly into message passing via matrix-valued features, providing a principled framework for learning nonlocal observables in lattice gauge theories across pure gauge, gauge-matter, and dynamical regimes.

The perturbative Ricci flow in gravity

Conformal Data for the $O(2)$ Wilson-Fisher CFT in $(2+1)$-Dimensional Spacetime from Exact Diagonalization and Matrix Product States on the Fuzzy Sphere

This paper utilizes exact diagonalization and matrix product state techniques on a fuzzy sphere to extract conformal data for the $(2+1)$-dimensional $O(2)$ Wilson-Fisher CFT, identifying 32 primary operators and verifying their scaling dimensions against conformal bootstrap predictions and large charge expansion results.

Mass spectrum, magnetic moments and Regge trajectories of $\Omega_{ccb}$ and $\Omega_{cbb}$ baryons in the nonrelativistic quark--diquark model

This paper employs a nonrelativistic quark-diquark model to predict the mass spectra, magnetic moments, and Regge trajectories of the triply heavy $\Omega_{ccb}$ and $\Omega_{cbb}$ baryons, establishing a consistent link to experimental $B_c$ meson data and providing reliable theoretical benchmarks for future searches at LHCb.

An Update on the Isospin-Breaking Effects in the Pion Decay Constant with Staggered Quarks

This paper presents an update from the BMW Collaboration on their ongoing calculation of isospin-breaking effects in the pion decay constant using $N_f=2+1+1$ staggered quarks with near-physical pion masses and QED$_{\text{L}}$, including preliminary results for the axial-pseudoscalar correlator and future plans.

Exotic $T^*_{csJ}$ and $T^*_{c\bar{s}J}$ states and coupled-channel scattering at the $SU(3)$ flavour symmetric point from lattice QCD

This lattice QCD study at the $SU(3)$ flavour symmetric point reveals attractive interactions and multiple pole singularities in the flavour-exotic $\mathbf{6}$ sector, identifying $J^P = 0^+, 1^+, 2^+$ partners of the experimentally observed $T^*_{cs0}(2870)^0$ and $T^*_{c\bar{s}0}(2900)$ states, while finding only weak interactions without poles in the $\overline{\mathbf{15}}$ sector.

Finite-density equation of state of hot QCD using the complex Langevin equation

This paper presents continuum-extrapolated lattice simulations of hot QCD at the physical point using the complex Langevin equation to determine the equation of state at unprecedentedly high baryon densities, demonstrating controlled convergence and agreement with previous lattice and perturbative results.

Effects of Final State Interactions on Landau Singularities

This paper investigates how final-state rescattering influences triangle singularities that mimic resonance line-shapes, employing both Landau equations and a modern scattering formalism that incorporates explicit two- and three-body unitarity.

$D_1$ and $D_2$ resonances in coupled-channel scattering amplitudes from lattice QCD

Using lattice QCD at a pion mass of approximately 391 MeV, this study computes isospin-1/2 charmed axial-vector scattering amplitudes to identify an $S$-wave $D_1$ bound state below the $D^*\pi$ threshold, a $D$-wave $D_1'$ resonance, and a narrow tensor state, while also observing significant $S$-wave interactions and a potential additional state in the coupled $D^*\pi$-$D^*\eta$-$D_s^*\bar{K}$ channels.

Continuous matrix product operators for quantum fields

This paper introduces a lattice-independent ansatz for continuous matrix product operators that preserves the entanglement area law in the continuum and enables the construction of continuous matrix product unitaries beyond quantum cellular automata.