HEP Lattice·hep-lat

Thu·Aug 6, 2026Thursday·August 6, 2026

7 papers—1 primary·6 cross-listed

01
From One to Eight: Supersymmetry Restoration in Lattice 3D $N = 4$ Super Yang--Mills
Dario van den Berg🇿🇦 · Anosh Joseph🇿🇦
Topological twisting provides a powerful framework for constructing lattice formulations of supersymmetric gauge theories. In three dimensions, a twisted version of $N = 4$ super Yang--Mills theory can be discretized so that one nilpotent scalar supersymmetry is preserved exactly at nonzero lattice spacing. The remaining seven supersymmetries are broken by lattice artifacts of $O (a)$ , where $a$ is the lattice spacing. An important question is whether these supersymmetries are automatically restored in the continuum limit $a \to 0$ , or whether fine-tuning of the lattice couplings is required. In this work, we derive the additional twisted supersymmetries by combining discrete $R$ -symmetries of the continuum theory with the action of the scalar supercharge. This construction suggests that restoration of rotational symmetry in the continuum limit implies restoration of $R$ -symmetry, leading to an automatic enhancement to the full $N = 4$ supersymmetry without further tuning. These results may enable nonperturbative lattice studies of three-dimensional supersymmetric gauge theories relevant to string theory and mirror symmetry.
hep-lathep-th0 citations
02
Quarkoniumlike states above open-flavor thresholds in Born-Oppenheimer EFT
Nora Brambilla🇩🇪 · Roberto Bruschini🇺🇸 · Abhishek Mohapatra🇩🇪 · Fang-Zheng Peng🇩🇪 · Tommaso Scirpa🇩🇪
Many quarkoniumlike states have been observed above open-flavor thresholds, but their organization and internal structure remain unsettled. We study the isoscalar hidden-charm and hidden-bottom sectors in Born--Oppenheimer effective field theory (BOEFT), between the spin--isospin averaged $S + S$ and $S + P$ thresholds. At leading order, heavy-quark spin decouples, and the quarkonium static potential mixes through string breaking with the lowest tetraquark/open-flavor BO potentials of the same quantum numbers. These potentials are constrained by QCD symmetries, their short- and long-distance behavior, and lattice-QCD data. The only calibrated parameter is the lowest $1^{--}$ adjoint meson mass, fixed from the shallow multiplet associated with the $χ_{c 1} (3872)$ . Using $T$ -matrix, $K$ -matrix, and complex-scaling methods, we determine bound states and resonance poles, their masses, pole widths from the included nonstrange $S + S$ channels, normalized pole couplings, and prescription-dependent quarkonium--open-flavor composition measures. Uncoupled hybrid BOEFT multiplets are included as reference levels. The spectrum exhibits a common heavy-quark-spin-symmetry multiplet organization. Most poles are predominantly quarkonium resonances localized at short distances, with the largest open-flavor components closest to threshold. The same equations also generate shallow, spatially extended, open-flavor-dominated states with molecular long-distance characteristics. Their binding energies, radii, and small quarkonium components are highly sensitive to the adjoint meson mass, whereas the higher spectrum is more stable. Together with the hybrid reference levels, the spectrum provides multiplet assignments for most candidates. States not naturally accommodated point to the need for hidden-strange and $S + P$ tetraquark/open-flavor BO sectors and for hybrid--tetraquark and hybrid--quarkonium mixings.
↳ hep-phhep-exhep-latnucl-th1 citation
03
Open-Charm Vector Mesons in Hot and Dense Nuclear Matter
N. Er🇹🇷 · K. Azizi🇮🇷
We investigate the in-medium properties of the open-charm vector mesons $D_{s}^{*}$ and $D^{*}$ in hot and dense nuclear matter within the framework of finite-temperature and finite-density QCD sum rules. The analysis incorporates temperature- and density-dependent quark and gluon condensates together with an in-medium continuum threshold constrained by the light-quark condensate. By solving the resulting QCD sum rules, we determine the in-medium masses and leptonic decay constants of the $D_{s}^{*\pm}$ and $D^{*\pm}$ mesons over a broad region of the $(T, ρ)$ plane. Both vector mesons undergo substantial in-medium softening, with their masses and leptonic decay constants decreasing as the baryon density increases. The masses exhibit a non-monotonic dependence on baryon density, whereas the leptonic decay constants decrease monotonically throughout the investigated density range. Increasing temperature generally weakens the density-induced modifications, although baryon density remains the dominant driver of the in-medium evolution. The largest mass shifts occur at intermediate-to-high densities, reaching approximately $- 413 MeV$ for the $D_{s}^{*-}$ meson and $- 207 MeV$ for the $D^{*-}$ meson, while the leptonic decay constants are reduced by more than $68%$ in both channels at the highest densities considered. We further investigate the particle--antiparticle splittings of the masses and leptonic decay constants induced by finite baryon density. Finite baryon density lifts the vacuum degeneracy between the charge-conjugate states, while increasing temperature generally suppresses the resulting asymmetries. Although the strange and non-strange channels exhibit similar qualitative behavior, quantitative differences emerge in both the in-medium modifications and the particle--antiparticle splittings. ....
↳ hep-phhep-exhep-lat0 citations
04
Measurement-based simulation of lattice gauge theory dynamics with adaptive quantum circuits on a trapped-ion processor
Hiroki Sukeno🇺🇸 · Enrico Rinaldi🇬🇧 · Takuya Okuda🇯🇵
Measurement-based quantum simulation (MBQS)---a recently proposed architecture for simulating lattice gauge theories---implements Hamiltonian dynamics by consuming a model-specific entangled resource state with adaptive mid-circuit measurements, rather than by a gate-based circuit. The local constraints in lattice gauge theories are mirrored by the higher-form symmetries of the resource state. Here we report, to our knowledge, the first experimental realization of MBQS of real-time dynamics in the $(2 + 1)$ -dimensional $Z_{2}$ gauge theory using the Quantinuum System Model H2 trapped-ion processor. We observe coherent evolution of gauge-invariant observables on $2 \times 2$ and $3 \times 3$ spatial lattices, consuming virtual three-dimensional cluster states of 200 and 288 resource-state qubits that are generated from instantaneous blocks of 48 and 54 qubits within the 56-qubit register by measurement, reset, and re-entanglement. The measurement record that drives the evolution simultaneously provides one-form-symmetry syndromes at no additional cost, enabling postselection that strongly suppresses observed Gauss-law violations and improves aggregate agreement with ideal Trotterized dynamics. Our results demonstrate that MBQS is a viable, symmetry-aware architecture for simulating lattice field theories on present-day hardware.
↳ quant-phhep-lathep-th0 citations
05
Tensor Network Formulation of $P T$ -Symmetric Quantum Field Theory
Yasuyuki Hatsuda🇯🇵 · Kengo Kikuchi🇯🇵
We develop a non-perturbative analytic tensor network formulation of $P T$ -symmetric scalar field theories defined on complex integration contours. Applying this formulation to the two-dimensional $P T$ -symmetric $ϕ^{4}$ theory at negative quartic coupling, we derive an explicit analytic expression for the initial tensor and show that its components separate into even and odd sectors according to the parity of the sum of the tensor indices. We further formulate the theory on an alternative complex contour and analytically establish, in arbitrary dimensions, an exact finite-volume relation between the lattice partition function defined on this contour and the real part of the analytic continuation of the Hermitian lattice $ϕ^{4}$ partition function to negative quartic coupling.
↳ hep-thhep-latmath-phmath.MP0 citations
06
The two-particle-irreducible vertex of the two-dimensional lattice $ϕ^{4}$ model across the Ising transition
Lode Pollet🇩🇪
We reconstruct the 2PI vertex $Γ (k, p; q)$ from Monte Carlo measurements of the connected two-particle correlator for the two-dimensional single-component $ϕ^{4}$ lattice field theory and follow it across the Ising transition. Resolving the vertex in the irreducible representations of the point group $C_{4 v}$ , we find that the instability is driven by the $A_{1}$ (ferromagnetic) channel at zero transfer, whose leading eigenvalue of the symmetrized Bethe--Salpeter kernel approaches unity. Substantial $B_{1}$ (nematic) and $B_{2}$ (diagonal nematic) contributions cooperate with $A_{1}$ across all system sizes, highlighting that the soft sector is multidimensional. In real space, the vertex is short-ranged away from criticality while it develops a power-law tail at the critical point. In the ordered phase, the $q = 0$ eigenvalue collapses because the ferromagnetic weight has condensed into the (one-particle-reducible) order parameter (or collective coordinate for a finite system), although finite-momentum fluctuations persist. By stripping the crossed-channel ladders, we obtain the fully irreducible vertex, which is a local contact -- to a very good approximation. Inserted into the parquet and Schwinger--Dyson equations, this contact reproduces the Monte Carlo self-energy with an accuracy better than one-tenth of a percent. This provides a first-principles benchmark of the dynamical local-vertex approximation (D $Γ$ A). Additionally, we demonstrate that in the critical region, the physical solution of the parquet equations behaves as a repulsive fixed point, driven initially by a single order-parameter mode.
↳ cond-mat.stat-mechhep-latphysics.comp-ph0 citations
07
A large size of the pion-like excitations in the stringy fluid above $T_{c h}$ is model independent and required by current algebra
L. Ya. Glozman🇦🇹
Multiple lattice evidences support the existence of a confining but chirally symmetric stringy fluid regime of QCD above the chiral symmetry restoration temperature at T_{ch} ~ 155 MeV. This regime is characterized by an approximate chiral spin symmetry and its extensions which means that the propagating excitations represent the chirally symmetric quarks connected into color singlets by the chromoelectric string. Clear \pi,\pi' peaks above T_{ch} were extracted on the lattice from the spatial and temporal correlators, which become broader with temperature and disappear roughly at $3 T_{c h}$ . The meson-like excitations above T_{ch} were studied within the manifestly confining and chirally symmetric model. It has been demonstrated that the chiral symmetry restoration in the confining regime happens because of Pauli blocking of the levels, required for the existence of the quark condensate, by the thermal quark excitation. The same Pauli blocking leads to a huge swelling of the low-spin mesons above T_{ch} which become infinitely large in the chiral limit. This property should be crucial for the explanation of the high collectivity and a very small mean-free path of the constituents above $T_{c h}$ seen experimentally. Here we demonstrate that the swelling of pions above T_{ch} is a model-independent effect required by current algebra.
↳ hep-phhep-exhep-lathep-th+10 citations

Affiliations

first authorsco-authorsvia INSPIRE

From One to Eight: Supersymmetry Restoration in Lattice 3D N=4 Super Yang--Mills

Quarkoniumlike states above open-flavor thresholds in Born-Oppenheimer EFT

Open-Charm Vector Mesons in Hot and Dense Nuclear Matter

Measurement-based simulation of lattice gauge theory dynamics with adaptive quantum circuits on a trapped-ion processor

Tensor Network Formulation of PT-Symmetric Quantum Field Theory

The two-particle-irreducible vertex of the two-dimensional lattice ϕ4 model across the Ising transition

A large size of the pion-like excitations in the stringy fluid above Tch​ is model independent and required by current algebra

Affiliations

From One to Eight: Supersymmetry Restoration in Lattice 3D $N = 4$ Super Yang--Mills

Tensor Network Formulation of $P T$ -Symmetric Quantum Field Theory

The two-particle-irreducible vertex of the two-dimensional lattice $ϕ^{4}$ model across the Ising transition

A large size of the pion-like excitations in the stringy fluid above $T_{c h}$ is model independent and required by current algebra