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We present a systematic method for constructing lattice QCD operators for systems of an arbitrary number of particles with arbitrary momentum, spin, and internal quantum numbers. Explicit constructions are provided for one-, two-, three-,…

High Energy Physics - Lattice · Physics 2025-10-28 Haobo Yan , Chuan Liu , Liuming Liu , Yu Meng

We propose a method to substantially improve the signal-to-noise ratio of lattice correlation functions for bosonic operators or other operator combinations with disconnected contributions. The technique is applicable for correlations…

High Energy Physics - Lattice · Physics 2022-05-23 Luis Altenkort , Alexander M. Eller , O. Kaczmarek , Lukas Mazur , Guy D. Moore , H. -T. Shu

A novel combined unitary and symmetric group approach is used to study the spin-$\frac{1}{2}$ Heisenberg model and related Fermionic systems in a spin-adapted representation, using a linearly-parameterised Ansatz for the many-body wave…

Strongly Correlated Electrons · Physics 2022-06-01 Werner Dobrautz , Vamshi M. Katukuri , Nikolay A. Bogdanov , Daniel Kats , Giovanni Li Manni , Ali Alavi

Tensor operations are surging as the computational building blocks for a variety of scientific simulations and the development of high-performance kernels for such operations is known to be a challenging task. While for operations on one-…

Mathematical Software · Computer Science 2014-10-02 Elmar Peise , Diego Fabregat-Traver , Paolo Bientinesi

We propose a method to improve lattice operators composed of Wilson fermions which allows the removal of all corrections of $O(a)$, including those proportional to the quark mass. It requires off-shell improvement of quark fields and…

High Energy Physics - Lattice · Physics 2009-10-09 G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

We perform a lattice calculation of the correlators of two chromoelectric fields in the adjoint representation connected by adjoint Wilson lines at non-zero temperature. These correlators arise in the study of quarkonium dynamics and of…

High Energy Physics - Lattice · Physics 2025-05-23 Nora Brambilla , Saumen Datta , Marc Janer , Viljami Leino , Julian Mayer-Steudte , Peter Petreczky , Antonio Vairo

We compute high-order baryon number fluctuations at finite temperature and density within a QCD-assisted low energy effective field theory. Quantum, thermal and density fluctuations are incorporated with the functional renormalization group…

High Energy Physics - Phenomenology · Physics 2021-10-04 Wei-jie Fu , Xiaofeng Luo , Jan M. Pawlowski , Fabian Rennecke , Rui Wen , Shi Yin

An extended multi-hadron operator is developed to extract the spectra of irreducible representations in the finite volume. The irreducible representations of the cubic group are projected using a coordinate-space operator. The correlation…

High Energy Physics - Lattice · Physics 2018-04-18 Jia-jun Wu , Waseem Kamleh , Derek B. Leinweber , Gerrit Schierholz , Ross D. Young , James M. Zanotti

We calculate three-loop corrections to correlation functions of heavy-quark currents in the low- and high-energy regions. We present 30 coefficients both in the low-energy and the high-energy expansion of the scalar and the vector…

High Energy Physics - Phenomenology · Physics 2015-05-30 A. Maier , P. Marquard

The design and implementation of large sets of spatially-extended, gauge-invariant operators for use in determining the spectrum of baryons in lattice QCD computations are described. Group-theoretical projections onto the irreducible…

High Energy Physics - Lattice · Physics 2014-11-17 S. Basak , R. G. Edwards , G. T. Fleming , U. M. Heller , C. Morningstar , D. Richards , I. Sato , S. Wallace

State-of-the-art algorithms for simulating fermions coupled to gauge fields often rely on integrating fermion degrees of freedom. While successful in simulating QCD at zero chemical potential, at finite density these approaches are hindered…

High Energy Physics - Lattice · Physics 2024-02-05 Joao C. Pinto Barros , Thea Budde , Marina Krstic Marinkovic

We compute masses of positive parity spin-$1/2$ and $3/2$ baryons composed of $u$, $d$, $s$, $c$ and $b$ quarks in a quark-diaquark picture. The mathematical foundation for this analysis is implemented through a symmetry-preserving…

Nuclear Theory · Physics 2019-12-25 L. X. Gutiérrez-Guerrero , Adnan Bashir , Marco A. Bedolla , E. Santopinto

The CKM unitarity precision test of the Standard Model requires a systematic treatment of electromagnetic and strong corrections for semi-leptonic decays. Electromagnetic corrections require the renormalization of a semileptonic…

High Energy Physics - Phenomenology · Physics 2026-04-30 M. Gorbahn , S. Jäger , F. Moretti , E. van der Merwe

We present results for matching factors for bilinear operators composed of HYP-smeared staggered fermions and constructed using HYP-smeared fat links. The matching factors are calculated perturbatively at one-loop order. The new feature of…

High Energy Physics - Lattice · Physics 2010-11-05 Jongjeong Kim , Weonjong Lee , Stephen R. Sharpe

We propose a method to improve lattice operators composed of Wilson fermions which allows the removal of all corrections of $O(a)$, including those proportional to the quark mass, leaving only errors of $O(a^2)$. The method exploits the…

High Energy Physics - Lattice · Physics 2009-10-09 G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

The accuracy of the lattice QCD computation of hadron-hadron scattering at low isospin depends critically on the ability to compute correlation functions with fermionic disconnected Wick contractions. This happens, for instance, in isospin…

High Energy Physics - Lattice · Physics 2019-05-07 N. Ripunjay Acharya , Feng-Kun Guo , Ulf-G. Meißner , Chien-Yeah Seng

The computational effort in the calculation of Wilson fermion quark propagators in Lattice Quantum Chromodynamics can be considerably reduced by exploiting the Wilson fermion matrix structure in inversion algorithms based on the…

High Energy Physics - Lattice · Physics 2015-06-25 Andreas Frommer , Stephan Güsken , Thomas Lippert , Bertold Nöckel , Klaus Schilling

We study matrix elements of the "chromomagnetic" operator on the lattice. This operator is contained in the strangeness-changing effective Hamiltonian which describes electroweak effects in the Standard Model and beyond. Having dimension 5,…

High Energy Physics - Lattice · Physics 2014-10-06 M. Constantinou , M. Costa , R. Frezzotti , V. Lubicz , G. Martinelli , D. Meloni , H. Panagopoulos , S. Simula

A comprehensive number of integrals emerging in one-loop computations in a gauge perturbation theory on the lattice with Wilson fermions at $r=1$ is computed using the Burgio--Caracciolo--Pelissetto algorithm and the FORM package. An…

High Energy Physics - Lattice · Physics 2009-02-22 R. N. Rogalyov

Drawing on recent advances in lattice-QCD background-field techniques, the magnetic polarisability of octet baryons is calculated from the first principles of QCD. The results are presented in the context of new constituent quark-model…

High Energy Physics - Lattice · Physics 2024-10-23 Thomas Kabelitz , Ryan Bignell , Waseem Kamleh , Derek Leinweber
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