HEP Lattice·hep-lat

Fri·Oct 2, 2026Friday·October 2, 2026

8 papers—1 primary·7 cross-listed

01
Thermal axion production in QCD from the lattice
Luis Neubauer · Guy D. Moore
Thermal axion production in the early Universe is controlled by the QCD topological-charge-density spectral function evaluated on the light-cone as a function of momentum k. We show how weighted integrals of this quantity can be computed using Euclidean lattice QCD without any analytic continuation, similar to what Harvey Meyer and collaborators have recently done for the photon production rate. We then test the approach in pure-glue QCD at T=1.5 Tc, finding that it is feasible to extract at least one and possibly two finite weighted k-integrals of the k-dependent production rate. This opens the possibility for extractions in full QCD at temperatures around and somewhat above the crossover temperature, where other methods are not reliable.
hep-lat
02
Global and nonlocal magic of quantum many-body scars
Lukas Ebner · Giovanni Cataldi · Kaidi Xu · Jad C. Halimeh · Emanuele Tirrito
Nonergodic features of chaotic quantum many-body systems are commonly characterized through local observables, fidelity, and entanglement entropy. Here, using global and nonlocal measures of nonstabilizerness (magic), we study quantum many-body scars near infinite temperature in $(1 + 1)$ -dimensional Abelian $Z_{2}$ and U $(1)$ lattice gauge theories, both analytically and numerically. We derive an exact closed-form expression for the nonlocal trace distance magic solely from the Schmidt spectrum, reducing the optimization over local unitaries to a finite maximization over stabilizer-compatible Schmidt ranks. We find that scar eigenstates can exhibit extensive global magic despite their anomalously low entanglement, while retaining anomalously large nonlocal magic compared with ergodic states. We further show that constrained Hilbert spaces can generate irreducible nonlocal magic through stabilizer-incompatible Schmidt ranks, even for a flat entanglement spectrum.
↳ quant-phcond-mat.quant-gascond-mat.stat-mechhep-lat
03
Fractional anomalous determinants and the chiral phase transition
Robert D. Pisarski
At high temperature instantons form a dilute gas, so in QCD-like theories the breaking of the anomalous $U (1)_{A}$ symmetry is given by integral powers of the anomalous determinant, $\sim (det Φ)^{Q}$ , where $Φ \sim q_{L} q_{R}$ is bilinear in the quark fields, and with untwisted boundary conditions, the topological charge, $Q$ , is an integer. A syncretic model is constructed, which is manifestly "beyond Landau". In the chiral limit, at temperatures above the chiral phase transition, $T > T_{χ}$ , only integral powers of the anomalous determinant appear. Below $T_{χ}$ , following 't Hooft et al. I assume that the topological charge $Q$ is fractional, as an integer times $1/ N_{c}$ , where $N_{c}$ is the number of colors. I suggest that consequently, fractional powers of the anomalous determinant appear in the chiral effective Lagrangian. For $N_{f}$ degenerate flavors, this generalizes the Witten-Veneziano term, valid for small $N_{f} / N_{c}$ , to arbitrary $N_{f} / N_{c}$ . In this model the chiral phase transition is generically of second order. The two exceptions are for one flavor, where it is probably crossover, and three flavors, where it could well be weakly first order. This can be tested in lattice QCD with $2 + 1$ flavors by comparing the (known) temperature dependence of the difference of the $π^{a}$ and $a_{0}^{a}$ propagators, to the chiral condensate of the strange quark, between $T_{χ}$ and $\sim 2 T_{χ}$ . Analogous measurements are possible for one to four degenerate flavors about $T_{χ}$ . Lastly, I propose an operator for baryon number in the symmetric phase.
↳ hep-phcond-mat.str-elhep-lathep-th+1
04
Glueballs and fractional anomalous determinants at nonzero $θ$ , and the decays of the X(2370)
Francesco Giacosa · Shahriyar Jafarzade · Győző Kovács · Péter Kovács · Robert D. Pisarski · Fabian Rennecke
Using fractional anomalous determinants, we construct a model of the trace and axial anomalies of a $S U (3)$ gauge theory at nonzero $θ$ angle through the couplings to scalar and pseudoscalar glueballs. In the pure gauge theory, we reproduce the $θ$ dependence of the vacuum energy and the scalar-glueball mass from the lattice, and estimate the jump in the topological charge density for the first-order transition at $θ = π$ . In QCD, the coupling of a pseudoscalar glueball to fractional anomalous determinants describes all of the four three-pseudoscalar decay channels of the $0^{-+}$ glueball candidate $X (2370)$ measured by the BESIII collaboration. Measuring the decay rates for $η η η$ and $η η η^{'}$ can provide a stringent test of the model.
↳ hep-phhep-lathep-thnucl-th
05
Generative Modeling of Stochastic Dynamics for Long-Time Evolution
Yang-yang Tan · Jinyang Li · Lingxiao Wang
Exact stochastic equations for non-equilibrium dynamics are rarely accessible. We show that the long-time evolution of stochastic dynamics can be predicted from configuration pairs at a fixed short time lag, without knowledge of the equation of motion. Generative diffusion models learn the finite-time transition kernel from these pairs, and iterating it propagates the dynamics far beyond the training lag. For two-dimensional Model B, the diffusive dynamics of a conserved order parameter, the learned kernels reproduce dynamic critical scaling and self-similar $t^{1/3}$ coarsening. Agreement with direct simulations persists on lattices twice the largest training size and for initial ensembles absent from training. For driven colloids in a periodic optical potential, ten minutes of measured trajectories suffice to predict the particle current and mean passage time over the next twenty minutes within experimental uncertainty. Short-time observations thus contain the information needed to predict emergent non-equilibrium dynamics at much longer times.
↳ cond-mat.stat-mechcs.LGhep-lat
06
Gravitational D-form factors of the nucleon and pion with mixing between two-quark and four-quark states
Mamiya Kawaguchi · Yao Ma · Yong-Liang Ma
We investigate the gravitational $D$ -form factors of the nucleon and pion within an extended linear sigma model (eLSM) that incorporates both two-quark and four-quark states, as well as nucleon fields. Within the scalar-meson-dominance picture, we find that meson mixing between two-quark and four-quark states suppresses the nucleon $D$ -form factor and leads to agreement with the lattice-QCD results. Interestingly, a quantitatively similar suppression was previously found in the parity doublet model (PDM) as a consequence of a nonzero chiral invariant component of the nucleon mass. This suggests that the effects of meson mixing and the chiral invariant mass are difficult to distinguish from the nucleon $D$ -form factor alone. We therefore examine the pion $D$ -form factor in the chiral limit. While its value in the forward limit remains fixed at $- 1$ in both the eLSM and the PDM, meson mixing modifies its momentum-transfer dependence. In contrast, the chiral invariant mass does not directly affect the pion $D$ -form factor. These results suggest that a combined analysis of the nucleon and pion $D$ -form factors can provide further insight into the mass decomposition of the nucleon and the quark composition of mesons.
↳ hep-phhep-latnucl-th
07
Effective field theory of scalar glueballs: Form factors and interaction radii
Adamu Issifu · Orlando Oliveira · Tobias Frederico
We develop a gauge-invariant effective field theory for scalar glueball interactions based on the Yang-Mills gluon condensate. Starting from a coherent-state formulation of the Yang-Mills vacuum, we derive an effective Lagrangian for the scalar glueball and its interactions with gluons. The resulting crossing-symmetric amputated four-gluon Green's function is projected onto the color-singlet $J^{P C} = 0^{++}$ channel, yielding a normalized scalar glueball form factor that factorizes into universal kinematic structures and an intrinsic glueball function. The formalism predicts a parameter-free effective interaction radius for the ground-state scalar glueball with resonance $f_{0} (1710)$ , $r_{int} = 6 / m_{ϕ} = 0.28$ fm, which is in excellent agreement with recent lattice Yang-Mills determinations of the mass-radius ( $r = 0.263 (31)$ fm). The predicted momentum dependence of the normalized form factor is consistent with lattice Yang-Mills gravitational form factor data, with the $f_{0} (1710)$ candidate providing the best overall fit and $r_{int}$ . Inclusion of the first excited $0^{++}$ glueball produces modest corrections to the interaction radius ( $r_{int}^{*} = 0.240$ fm) while yielding stable and kinematically robust modifications of the form factor. This framework provides a systematic bridge between effective field theory and first-principles lattice Yang-Mills calculations of scalar glueball dynamics.
↳ hep-phhep-lathep-th
08
Drell-Yan lepton pair production from low to high transverse momentum
Benoît Assi · Enrico Bothmann · John Campbell · Christian Gütschow · Stefan Höche · Wan-Li Ju · Max Knobbe · Marek Schönherr · Jesse Thaler · Michael L. Wagman
We present a technique for computing Drell-Yan lepton pair production at particle-level that achieves N $^{3}$ LO and approximate N $^{4}$ LL $^{'}$ accuracy at small to moderate transverse momentum, tree-level precision for $Z + 4$ , $5$ , and $6$ jets, and approximate NLO EW precision at high transverse momentum. A crucial non-perturbative input, the Collins-Soper kernel, is obtained from continuum-limit lattice QCD results. High-precision theory results are recast into strictly positive event weights using an information-theoretic approach based on the maximum entropy principle.
↳ hep-phhep-exhep-lat