HEP Lattice·hep-lat

Tue·Jun 23, 2026Tuesday·June 23, 2026

9 papers—5 primary·4 cross-listed

01
Neural Wavefunctions in Quantum Field Theory I: Asymptotic Freedom
Paulo F. Bedaque🇺🇸 · Hersh Kumar🇺🇸 · Suryansh Rajawat🇺🇸 · Gregory Ridgway🇺🇸
We present a variational approach to quantum field theory based on wavefunctions parameterized by neural networks. While variational methods have a celebrated history across many fields, their application to quantum field theory has been limited by well-known challenges. We show that neural-network wavefunctions, combined with modern machine-learning techniques, enable competitive variational calculations in nontrivial field theories. As a demonstration, we reproduce the essential features of the two-dimensional nonlinear $σ$ -model: asymptotic freedom, dynamical mass generation and the model's step-scaling function.
hep-lathep-phhep-thnucl-th+10 citations
02
Event-Chain Monte Carlo for Yang-Mills SU(N) lattice field theory I : Design and proof of concept
Benoît Blossier🇫🇷 · Manon Michel🇫🇷 · Yacob Ozdalkiran🇫🇷
We develop two implementations of the Event-Chain Monte Carlo (ECMC) algorithm for Yang-Mills $SU (N)$ lattice gauge theories with the Wilson action. These algorithms consist in a succession of local ballistic updates intersped with stochastic events, resulting in an irreversible and rejection-free Markov process. The resulting dynamics satisfy global balance, ensuring the correct equilibrium distribution. The algorithms are formulated for general $SU (N)$ Yang-Mills theories with Wilson action and implemented for the case $N = 3$ . Numerical tests on four-dimensional lattices show that standard gauge observables, such as the mean plaquette, agree with results obtained using conventional Monte Carlo algorithms. These results provide a first validation of ECMC as a viable sampling scheme for Yang-Mills lattice gauge theories.
hep-lat0 citations
03
SU(2) gauge theory with fermions on a semi-simple cubic lattice
Randy Lewis🇨🇦 · Shidsa Pourbakhsh🇨🇦 · Arnab Pradhan🇨🇦 · Lance Siquioco🇨🇦
A practical Hamiltonian approach to lattice gauge theories would provide access to several important areas of phenomenology that have been beyond the reach of conventional lattice methods. Quantum computers seem to be a natural platform for this approach. With near-term quantum computers in mind, our work considers a three-dimensional spatial lattice that can host fermions and non-Abelian gauge fields while needing fewer qubits than a simple cubic lattice. Specifically, the semi-simple cubic (ssc) lattice is obtained by removing half of the gauge links from a standard cubic lattice in such a way that every vertex becomes trivalent, which streamlines the handling of Gauss's law. The ssc lattice is topologically equivalent to the triamond lattice but, because the gauge links at each vertex span all three directions, the ssc lattice can accommodate a local fermion derivative. The case of staggered fermions with SU(2) gauge fields is presented here.
hep-latquant-ph2 citations
04
Proton's isovector PDF with updated analysis of large-momentum lattice data
Xiangdong Ji🇺🇸 · Yushan Su🇺🇸
The proton's unpolarized $u (x) - d (x)$ parton distribution function (PDF) has been studied by a number of lattice QCD groups through large momentum expansion. However, due to lattice artifacts (excited state contaminations, unphysical pion masses, and discretization effects) and less-advanced theoretical analysis (renormalizations, large-distance extrapolations, and large-log resummations), the resulting PDFs cannot be compared strictly with experimental data. By using the state-of-the-art theoretical tools and mitigating the lattice artifacts empirically, we reanalyze the available datasets in the literature and find that the new PDF in the physical limits is consistent with global fittings within $\sim 1 σ$ . This provides compelling evidence that large momentum expansion is capable of accurately predicting the $x$ -dependence of the PDFs when ideal lattice data become available.
hep-lathep-phnucl-th0 citations
05
Multi-particle states investigation with tensor renormalization group method
Fathiyya Izzatun Az-zahra🇯🇵 · Shinji Takeda🇯🇵 · Takeshi Yamazaki🇯🇵
We investigate multi-particle states of the (1+1)d Ising Model using a spectroscopy scheme based on transfer matrix and tensor renormalization group method. The scheme begins with computing the energy spectrum of the system from the transfer matrix estimated by the coarse-grained tensor network. The quantum number and momentum of these energy eigenstates are not a priori known, thus we identify them using matrix elements of an interpolating operator that is numerically computed with an impurity tensor network. Furthermore, by observing the dependence of the energy as a function of system size, we identify the number of particles of the eigenstates and obtain one-, two-, and three-particle states for a specific quantum number and momentum. From the two-particle state sector, we compute the scattering phase shift using Lüscher's formula and wave function approach, and observe their consistency with theoretical prediction. Using the information of the two-particle scattering phase shift, we investigate the degeneracy of the two-particle states, the theoretical prediction of the three-particle finite volume energy and also the degeneracy in the three-particle states.
hep-lat0 citations
06
Metamorphosis of fractional instantons on a twisted $T^{4}$ with a double-trace deformation: a numerical study
Benjamin Dobozy🇨🇦 · Erich Poppitz🇨🇦
We use numerical minimization of the lattice action of trace-deformed Yang-Mills theory on $T^{4}$ with twisted boundary conditions to find the classical minimum action configurations of fractional topological charge. We vary the twists and ratios of torus periods to interpolate between different $R^{4 - k} \times T^{k}$ geometries. This allows us to see how the corresponding minimum action saddle point configurations -- monopole-instantons ( $k = 1$ ), center vortices ( $k = 2$ ), and fractional instantons ( $k = 3, 4$ ) -- morph into each other. We also study how the transition between them depends on the presence of a deformation potential. In particular, we argue that the recent analytic picture of chains of monopole-instantons collimating their flux into center-vortex sheets, while technically relying on the deformation potential, also holds in pure Yang-Mills theory, for tori whose shape causes the abelianization due to the deformation to align with the one due to the twists. Our results also indicate that with nonzero deformation potential, some transitions between different minimal-action fractional charge configurations may be discontinuous and involve level crossing.
↳ hep-thhep-lathep-ph1 citation
07
Quantum Simulation of Generalized Parton Distributions in the Schwinger Model
Tianyin Li🇯🇵 · Hongxi Xing🇨🇳
We present a quantum algorithm for simulating Generalized Parton Distributions (GPDs) in the Schwinger model. Unlike the staggered fermions widely utilized in current quantum simulations, we employ Wilson fermions for lattice discretization. This choice is critical for the quantum computation of GPDs due to their strict preservation of charge conjugation symmetry. We construct a comprehensive algorithmic framework that includes the preparation of hadronic states with non-zero momentum and the measurement of light-cone correlation functions incorporating Wilson lines. We provide a complexity analysis, demonstrating that the resources required for our algorithm scale polynomially with both the number of qubits and the desired precision $ε$ . Finally, we benchmark our approach using exact diagonalization, extracting mass spectra and GPDs (also parton distribution functions) that are consistent with theoretical expectations and fundamental physical constraints.
↳ hep-phhep-latnucl-th0 citations
08
Angular Analysis of $B \to D^{*} ℓ ν ˉ_{ℓ}$ from Lattice and Experiment: $∣ V_{c b} ∣$ and New Physics Constraints
Marzia Bordone🇩🇪 · Ollie Heald🇬🇧 · Andreas Jüttner🇨🇭
We present a combined angular analysis within and beyond the Standard Model (SM) of experimental measurements for the $B \to D^{*} ℓ ν ˉ_{ℓ}$ angular coefficients provided by the Belle collaboration, together with lattice-calculated hadronic form-factor data from the HPQCD, JLQCD, and FNAL/MILC collaborations. We focus on determining the CKM matrix element $∣ V_{c b} ∣$ and constraining a set of Wilson coefficients associated with new physics (NP) mediated by scalar and tensor currents. SM predictions for the angular coefficients are obtained using form-factor parameterisations based on the Boyd-Grinstein-Lebed (BGL) ansatz, with unitarity constraints imposed as Bayesian priors. Experimental and theoretical data are analysed jointly by considering the cases $ℓ = e, μ$ separately and comparing with the massless approximation. For the latter, we determine $∣ V_{c b} ∣ = 0.03997 (71)$ , with no resolution of the exclusive-inclusive puzzle. Using the full expressions for the angular coefficients in the presence of scalar, vector, and tensor currents, the corresponding Wilson coefficients are constrained through a joint Bayesian fit to lattice and experimental data. By including the renormalisation group evolution of the Wilson coefficients in the SM effective field theory (SMEFT), these constraints translate into bounds on the effective scale of potential heavy NP at the TeV scale. We find, at the $68%$ confidence level, that NP mediated by a scalar leptoquark and a vector leptoquark/colourless scalar boson are excluded at the effective scales 1.0 and 2.5 TeV, respectively.
↳ hep-phhep-exhep-lat1 citation
09
Emergent Andreev Reflection from a Lattice Duality Defect
Atsushi Ueda🇧🇪 · Tokiro Numasawa🇯🇵 · Boris De Vos · Masataka Watanabe🇯🇵
Andreev reflection converts an incoming fermion into an outgoing hole and is usually tied to a superconducting interface. We show that an analogous charge-conjugating boundary condition emerges from a purely lattice duality defect. Starting from a Majorana representation of the transverse-field Ising chain, we construct a folded lattice model in which a boundary Majorana impurity implements a one-site translation of a staggered Majorana chain. In the continuum, this translation becomes a chiral fermion-parity defect: it flips the sign of the only left-moving Majorana mode while leaving the right-moving mode unchanged. When the two Majorana modes are recombined into a complex fermion in the folded geometry, this sign flip becomes the Andreev-like boundary condition. Our lattice formulation gives a microscopic interpretation of the Emery--Kivelson boundary of the two-channel Kondo problem and of Maldacena--Ludwig monopole scattering, while identifying the boundary as the interface between a Kitaev-chain SPT phase and a gapless chain. The same Majorana translation defect also provides a lattice realization of an axial $U (1)_{A}$ -symmetric charge-flip boundary.
↳ cond-mat.str-elcond-mat.stat-mechhep-lathep-th+10 citations

Affiliations

first authorsco-authorsvia INSPIRE