PaperPanorama

HEP Lattice·hep-lat

Thu·Jul 16, 2026

4 papers—2 primary·2 cross-listed

All4Primary2Cross-lists2
  1. 01

    RI/SMOM renormalization for lattice QCD: bilinear and three-quark operators

    Bernd A. Kniehl🇩🇪 · Oleg L. Veretin🇩🇪

    We review perturbative matching between the regularization-invariant symmetric MOM (RI/SMOM) and MS schemes at the symmetric subtraction point, which is relevant for lattice QCD simulations. For bilinear operators we summarize three-loop conversion factors for local quark currents and for the n=2,3 twist-two moments of structure functions. For three-quark operators we summarize two-loop RI/SMOM matching for N=0 baryonic operators and three-loop anomalous dimensions together with two-loop matching for the N=1 Mellin moment, enabling improved lattice studies of baryon distribution amplitudes. All numerical results quoted here are given in Landau gauge.

    hep-lathep-ex0 citations
  2. 02

    Renormalizing a three-flavor lattice calculation of the two-photon contribution to

    En-Hung Chao🇺🇸 · Norman Christ🇺🇸 · Ceran Hu🇺🇸

    The Standard Model prediction for the rare decay depends critically on the long-distance contribution coming from the exchange of two photons. Such a contribution can be computed using lattice QCD and an effective three-flavor theory including only the , and quarks, provided terms falling as the inverse square of the omitted charm quark mass, are neglected. Because of the missing Glashow-Iliopoulos-Maiani cancelation, this three-flavor theory contains additional low-energy constants that depend on . Here we show how these constants can be determined from a practical four-flavor lattice QCD calculation performed on a small volume with and quark masses that are heavier than physical.

    hep-lathep-ph0 citations
  3. 03

    Tensor-Network Finite Elements for Analytic Operator Equations

    Abhijatmedhi Chotrattanapituk · Michael J. Landry · Chu-Liang Fu · Mingda Li

    Operator equations (OEs) underpin quantitative modeling across science and engineering. Finite-element (FE) methods discretize continuous OEs into finite-dimensional algebraic systems, whereas tensor networks (TNs) provide flexible variational representations of correlated discrete systems. Here, we develop a framework that connects FE with TN for analytic OEs. The power of this method comes from its ability to convert highly non-linear partial differential equations into linear matrix equations. In particular, we show that FE discretization induces a hierarchy of multilinear interaction tensors, through which differential, integral, nonlinear, memory, and delay equations can be expressed within a common algebraic structure. The resulting systems are reformulated as weighted-residual optimization problems over TN degrees of freedom. Matrix-product-state calculations for one-dimensional linear and nonlinear diffusion reproduce conventional solutions with controlled error while preserving continuity and Neumann boundary conditions. The framework provides a common variational language for analytic OEs and establishes a direct connection between FE numerical formalism and TN variational algorithms, offering a general foundation for TN-based and quantum-inspired approaches to solving OEs.

    ↳ math.NAcond-mat.othercs.NAhep-lat+10 citations
  4. 04

    Half dualization and non-invertible particle-vortex duality defect on lattice

    Zhi-Qiang Gao🇺🇸

    We introduce half dualization as a general principle to construct non-invertible duality defects. The construction performs a duality transformation only in a subregion of spacetime, leaving an interface between the original theory and its dual. A non-invertible duality defect can be hosted on this interface. Half dualization is applicable whenever a local duality transformation is available, and does not depend on the spacetime dimension. We demonstrate the construction procedure in the (2+1)-dimensional Villainized charge- XY model on a cubic lattice. Half dualization yields a non-invertible particle-vortex duality defect whose fusion with its orientation reverse produces a (1+1)-dimensional gauge theory on the fusion surface. We then apply half dualization to the -gauged XY model relevant to the 3D XY transition. In the gauged model, the half dualization interface hosts a gauge covariant duality wall, rather than a genuine gauge invariant duality defect. It flows to an invertible duality defect in infrared when the gauge theory is confined or Higgsed.

    ↳ cond-mat.stat-mechcond-mat.str-elhep-lathep-th0 citations

Affiliations

first authorsco-authorsvia INSPIRE