HEP Lattice·hep-lat

Tue·Aug 18, 2026Tuesday·August 18, 2026

10 papers—5 primary·5 cross-listed

01
Exotic $B_{s}$ mesons in the continuum from a nonperturbatively-tuned heavy quark action
R. J. Hudspith🇺🇸 · Daniel Mohler🇩🇪 · M. Stolz🇩🇪
In this work we predict the masses and binding energies of two $B_{s}$ exotic-meson candidates using Lattice QCD, namely the $B_{s 0}^{*}$ and $B_{s 1}$ . We use a relativistic heavy-quark action for the valence b-quark in our simulations, tuned fully non-perturbatively by a neural network. This allows us to take the continuum limit and eliminates the largest systematic we attributed to our previous determination of these states using Lattice-NRQCD. This is the first Lattice QCD study to show that these states remain deeply bound in the continuum limit. We thoroughly benchmark our heavy-quark approach by reproducing the experimental values of the 1S hyperfine splittings of $B$ and $B_{s}$ mesons, as well as the mass splitting between the $B$ and $B_{s}$ mesons. Our final results yield binding energies with respect to the $B K$ and $B^{*} K$ thresholds of $- 65.9 (6.0) (3.0)_{Iso}$ MeV and $- 60.6 (6.6) (3.0)_{Iso} (1.0)_{GEVP}$ MeV for the $B_{s 0}^{*}$ and $B_{s 1}$ respectively.
hep-lathep-ph0 citations
02
Operator subspace based method for the extraction of higher energy levels in Lattice field theoretic systems
Ken-Ichi Ishikawa🇯🇵 · Siddharth Ramesh Pandey🇯🇵
Given the importance of spectral analysis of lattice quantum field theory data, the advancement of techniques for the same remains critically important. Therefore, we propose an algorithm that uses the first three time slices of the correlation function matrix to construct the transfer matrix and extract its energy eigenvalues. Reduction of systematic error arising from truncating the operator basis is achieved by varying the operator subspace dimension and applying eigenvalue-variance extrapolation. Since the correlation functions in early time slices typically exhibit small statistical errors and retain a strong signal of higher-excited states, we expect our proposed method to perform well in extracting higher-excited-state energies. In this paper, we conduct two lattice Monte Carlo simulations for quantum mechanical systems, harmonic and anharmonic oscillators, to evaluate the efficiency of our proposed method for higher-excited-state energies. We compare the energy levels obtained using the standard GEVP method and our proposed method. We find that our method consistently outperforms the standard GEVP method in extracting intermediate excited states for both systems. Because our method has access only to the first three time slices, it is not preferable to the GEVP method for extracting the ground-state energy in its current form.
hep-lat0 citations
03
Jump-Diffusion Stochastic Quantization for Euclidean Lattice Field Theories
Alexander Rothkopf🇰🇷
We construct the natural generalization of stochastic quantization (in the Markovian sense) by considering jump-diffusion processes. This class of stochastic processes exhibits non-continuous paths, so-called Lévy flights. In the presence of jumps, action landscapes with barriers can be efficiently explored, improving and even restoring ergodicity where traditional diffusion approaches become inefficient. We explore different strategies for constructing efficient jump updates, which we deploy to address the benchmark problem of topological freezing in 2d U(1) gauge theory.
hep-latcond-mat.dis-nnnucl-thphysics.comp-ph0 citations
04
Configurational Temperature in the 3D XY Model
Kutloano Nkojoana🇿🇦 · Anosh Joseph🇿🇦
We investigate the configurational temperature estimator as a diagnostic tool for Monte Carlo and Langevin simulations of the three-dimensional XY model with an imaginary chemical potential. This estimator depends only on the field configurations. It provides a stringent internal consistency check for numerical sampling algorithms. We perform simulations using both real Langevin dynamics and the Metropolis Monte Carlo algorithm on an $8^{3}$ lattice across a range of coupling values, $β = 0.2 - 0.7$ . Our results for the action density are in excellent agreement with strong-coupling expansion predictions at small $β$ , providing an important validation of both simulation approaches. The measured value of the configurational temperature estimator shows good agreement with its expected value of unity in the symmetric phase. However, systematic deviations appear in the ordered phase. We attribute these deviations primarily to finite-size effects and discretization artifacts associated with the relatively small lattice volume. Our results demonstrate that the configurational temperature estimator provides a valuable diagnostic for assessing thermalization and algorithmic correctness in lattice field theory simulations. Such diagnostics are particularly important in preparation for studies at real chemical potential, where sign problems arise and conventional validation methods become less reliable.
hep-lathep-th0 citations
05
Quantum Simulation of QCD in Axial Gauge
Xiaojun Yao🇺🇸
We study quantum simulation of SU(3) non-Abelian gauge theory dynamically coupled with fundamental fermions in $3 + 1$ dimensions by employing the lattice Hamiltonian in axial gauge that avoids Gauss's law constraints. The temporal component of the gauge field is analytically solved in terms of independent field degrees of freedom and a lattice regulated Green's function. The axial gauge condition is trivially maintained in time evolution, even under Trotterization. The gauge field degrees of freedom are expressed in the local field basis and can be efficiently transformed into the canonical conjugate momentum basis by local quantum Fourier transforms. We prove the number of qubits needed for describing all states up to an energy $E$ with an accuracy $ϵ$ on a lattice of volume $V$ at bare coupling $g$ is bounded as $16 n_{A} V + 12 n_{f} V$ , where $n_{A} \approx lo g_{2} (\frac{64 E ^{'} V ^{4/3}}{π ^{2} ϵ} + \frac{32 2 g n _{f} E ^{' 1/2} V ^{7/6}}{3 π ^{3} ϵ ^{1/2}})$ is the number of qubits needed for each independent gauge field per site with a shifted energy $E^{'}$ , and $n_{f}$ denotes the number of fermion flavors. We then analyze a quantum algorithm for time evolution that is based on Trotterization, quantum Fourier transform, and Jordan-Wigner transformation, for which quantum circuits can be explicitly constructed under arbitrary gauge field truncation and digitization. We find the numbers of CNOT and single-qubit rotation gates both scale as $O (n_{A}^{4} V^{4/3}) + O (V^{5/3})$ per Trotter step for fixed $n_{f} \leq 6$ . We conclude that quantum resources needed for simulating real-time dynamics of lattice QCD scale polynomially with volume, energy, time, accuracy, and bare Hamiltonian parameters.
hep-lathep-phhep-thnucl-th+13 citations
06
Radiative corrections to neutron $β$ decay with explicit $Δ (1232)$ degrees of freedom
Lemonia Gialidi🇳🇱 · Emanuele Mereghetti🇺🇸 · Jordy de Vries🇳🇱
We study electromagnetic radiative corrections to neutron $β$ decay within chiral perturbation theory extended to include the $Δ (1232)$ resonance as an explicit degree of freedom. Building on a previous analysis performed in the $Δ$ -less theory, we identify and compute additional loop contributions with intermediate $Δ$ states at leading and next-to-leading order in the small-scale expansion, and match the results to the pionless effective field theory. We find that the electromagnetic shift in the axial coupling is reduced by approximately a factor of two compared to the $Δ$ -less result. The correction remains at the percent level and is phenomenologically significant for the comparison between experimental extractions and lattice-QCD determinations of the nucleon axial charge. We also obtain a new $Δ$ -induced contribution to the weak magnetism term, which is an order of magnitude smaller than the pion-loop result and negligible for upcoming experiments.
↳ hep-phhep-latnucl-th1 citation
07
Spin-dependent polarizabilities of heavy vector mesons
Hao Dang🇨🇳 · Liang-Zhen Wen🇨🇳 · Yan-Ke Chen🇨🇳 · Shi-Lin Zhu🇨🇳
We investigate the spin-dependent electromagnetic polarizabilities of the heavy vector mesons $D^*$ and $B^*$ in heavy meson chiral perturbation theory up to $\mathcal O(p^3)$. Using a twelve-element tensor basis for the real-photon Compton scattering on a spin-1 target, we determine two scalar, four vector and six tensor polarizabilities. We take the charm- and bottom-sector axial couplings from the measured $D^*$ width and lattice-QCD calculations, respectively, and estimate the magnetic couplings in the nonrelativistic constituent-quark model. In the charm sector, the proximity of the charged $D\pi$ thresholds generates strongly nonanalytic $P\phi$-loop contributions, producing large real contributions to several $\bar D^{*0}$ polarizabilities and sizable imaginary parts for $D^{*-}$, whose charged $D\pi$ channel is open. The $E1E1$-type polarizabilities are enhanced much more strongly than their $M1M1$-type counterparts, consistent with the velocity suppression of the pion-cloud magnetic coupling. No analogous enhancement occurs for $B^*$: the Born terms govern the magnetic polarizabilities, and the anomaly poles dominate the vector polarizabilities that receive no Born contribution. These results resolve the spin dependence of the $D\pi$ threshold effect and provide benchmarks for future lattice-QCD studies.
↳ hep-phhep-latnucl-th0 citations
08
Amplified Isospin Breaking from Coupled-Channel Dynamics Near Threshold
Xiang-Kun Dong🇩🇪 · Feng-Kun Guo🇨🇳 · Christoph Hanhart🇩🇪 · Teng Ji🇩🇪 · Ulf-G. Meißner🇩🇪
We identify the dynamical origin of amplified isospin breaking in near-threshold states. Using a pole-residue-based measure defined directly from the pole couplings, rather than from decay observables that are also affected by different final-state kinematics, we show that threshold proximity of the pole alone is insufficient: large isospin breaking requires a sizable interaction in the companion isospin channel. Applied to the $X (3872)$ , the observed large isospin breaking points to a nearby partner pole, $W_{c 1}$ , as predicted in previous studies. In addition, we find that the $W_{c 1}$ pole, which predominantly affects the line shapes near the charged threshold in the physical case, does not evolve into the pure $I = 1$ eigenstate in the isospin limit; instead, that eigenstate is continuously connected to a more distant shadow pole.
↳ hep-phhep-exhep-lat0 citations
09
Non-invertible Lattice 1-Form Symmetries for Non-Abelian Topological Order
Rafael Flores-Calderón🇩🇪 · Frank Pollmann🇩🇪 · Michael Knap🇩🇪
Higher-form symmetries generalize conventional global symmetries and act on lower-dimensional submanifolds of a quantum system. While Abelian topological phases can be organized by 1-form symmetries that form a group, non-Abelian topological phases based on finite groups require 1-form symmetry operators governed by non-invertible fusion algebras. In this work, we make this statement precise in quantum double lattice models $D (G)$ for finite non-Abelian groups $G$ . We construct the electric, magnetic, and dyonic 1-form operators directly at the lattice fixed point and show that together they form a complete nonlocal diagnostic algebra for the topological Hilbert space. Using these operators, we explicitly determine the cylinder and torus ground-state subspaces for arbitrary finite $G$ . Furthermore, we calculate the microscopic fusion and gluing of the 1-form symmetries and show that their topological deformation properties emerge after projection to the defect-free topological subspace. Our results establish ground states of non-Abelian quantum double models as a concrete microscopic realization of spontaneous non-invertible 1-form symmetry breaking and provide an operator language that may be useful for characterizing such states in quantum processors.
↳ cond-mat.str-elhep-latquant-ph0 citations
10
Exotics with gluonic excitations
Jozef J. Dudek🇺🇸
That the gluons of quantum chromodynamics self-interact with a strong coupling suggests the possibility of hadrons in which the gluonic field plays an essential role: Glueballs in which gluons stick together to produce a hadron in which no quarks are required, and hybrids in which an excited gluonic field couples to quarks. This chapter presents our contemporary theoretical understanding of such states, and the challenges associated with definitively identifying their presence within the experimental spectrum of hadrons.
↳ hep-phhep-exhep-lat0 citations

Affiliations

first authorsco-authorsvia INSPIRE