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Twisted mass lattice QCD (tmQCD), generalised to four Wilson quark flavours, can be used for the computation of some weak matrix elements related to $\Delta I=1/2$ transitions. Besides eliminating unphysical zero modes, tmQCD may alleviate…

High Energy Physics - Lattice · Physics 2008-11-26 C. Pena , S. Sint , A. Vladikas

Partition function zeros steer the critical behavior of a system. Studying four-flavor lattice QCD at finite temperature and density with the Wilson-clover fermion action and the Iwasaki gauge action using a phase-quenched fermion…

High Energy Physics - Lattice · Physics 2013-11-18 Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Akira Ukawa

We put forward a powerful technique that allows generating quasi-non-diffracting light beams with a variety of complex transverse shapes and topologies. We show that, e.g., spiraling patterns, patterns featuring curved or bent bright…

We demonstrate how to make rigorous predictions for electroweak matrix elements in nuclear systems directly from QCD. More precisely, we show how to determine the short-distance contributions to low-momentum transfer electroweak matrix…

High Energy Physics - Lattice · Physics 2009-11-10 William Detmold , Martin J. Savage

An old and apparently persistent problem in numerical lattice QCD is that the simulations tend to get trapped in a sector of fixed topological charge when the lattice spacing is taken to zero. The effect sets in very rapidly and may…

High Energy Physics - Lattice · Physics 2014-01-28 Martin Lüscher

We present lattice results for the isovector unpolarized parton distribution with nonperturbative RI/MOM-scheme renormalization on the lattice. In the framework of large-momentum effective field theory (LaMET), the full Bjorken-$x$…

High Energy Physics - Lattice · Physics 2018-01-24 Jiunn-Wei Chen , Tomomi Ishikawa , Luchang Jin , Huey-Wen Lin , Yi-Bo Yang , Jian-Hui Zhang , Yong Zhao

Parton distribution functions (PDFs) are nonperturbative quantities describing the relation between a hadron and quarks and gluons within it. We propose to extract PDFs from QCD global analysis of "data" generated by lattice QCD…

High Energy Physics - Phenomenology · Physics 2018-10-24 Yan-Qing Ma , Jian-Wei Qiu

The Feynman--Hellmann approach to computing matrix elements in lattice QCD by first adding a perturbing operator to the action is described using the transition matrix and the Dyson expansion formalism. This perturbs the energies in the…

High Energy Physics - Lattice · Physics 2023-08-22 M. Batelaan , K. U. Can , R. Horsley , Y. Nakamura , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

We carry out a finite density calculation based on a canonical approach which is designed to address the overlap problem. Two degenerate flavor simulations are performed using Wilson gauge action and Wilson fermions on $4^4$ lattices, at…

High Energy Physics - Lattice · Physics 2016-08-16 Andrei Alexandru , Manfried Faber , Ivan Horváth , Keh-Fei Liu

Quasi parton distribution functions (QPDFs) are defined in terms of QCD fields at spacelike separations evaluated in matrix elements of hadrons moving with velocity $v$. These objects can be studied in lattice QCD. In the limit when $v$…

High Energy Physics - Phenomenology · Physics 2026-05-13 Fatma Aslan , Asli Tandogan , Peter Schweitzer

Properties of the proton and neutron are studied in partially-quenched chiral perturbation theory at finite lattice spacing. Masses, magnetic moments, the matrix elements of isovector twist-2 operators and axial-vector currents are examined…

High Energy Physics - Lattice · Physics 2009-11-10 Silas R. Beane , Martin J. Savage

A semiclassical approximation for the matrix elements of a quantum chaotic propagator in the scar function basis has been derived. The obtained expression is solely expressed in terms of canonical invariant objects. For our purpose, we have…

Quantum Physics · Physics 2013-06-18 Alejandro M. F Rivas

This is a pedagogical review of the lattice study of finite density QCD, which is intended to provide the minimum necessary contents, so that the paper may be used as the first reading for a newcomer to the field and also for those working…

High Energy Physics - Lattice · Physics 2009-11-10 Shin Muroya , Atsushi Nakamura , Chiho Nonaka , Tetsuya Takaishi

Finite linear least squares is one of the core problems of numerical linear algebra, with countless applications across science and engineering. Consequently, there is a rich and ongoing literature on algorithms for solving linear least…

Numerical Analysis · Mathematics 2021-10-27 Paz Fink Shustin , Haim Avron

We present one-loop perturbative results of the renormalization functions for a complete set of nonlocal quark bilinear operators containing an asymmetric staple-shaped Wilson line, using a family of improved lattice actions. This study is…

High Energy Physics - Lattice · Physics 2023-12-01 Gregoris Spanoudes , Martha Constantinou , Haralambos Panagopoulos

We describe recent results concerning the behavior of lattice QCD with light dynamical Wilson and Staggered quarks. We show that it is possible to reach regions of parameter space with light pions $m_\pi\approx 0.2/a$ using Wilson fermions.…

High Energy Physics - Lattice · Physics 2016-08-31 Khalil Bitar , Robert G. Edwards , Urs M. Heller , A. D. Kennedy

Extraction of hadronic observables at finite-momenta from Lattice QCD (LQCD) is constrained by the well-known signal-to-noise problems afflicting all such LQCD calculations. Traditional quark smearing algorithms are commonly used tools to…

High Energy Physics - Lattice · Physics 2021-02-10 Colin Egerer , Robert G. Edwards , Kostas Orginos , David G. Richards

To facilitate lattice QCD calculations of nucleon structute, a set of quasi-parton distributions were recently introduced. These quasi-PDFs were shown to reduce to standard PDFs when the nucleon is boosted to high energies, $P_z\rightarrow…

High Energy Physics - Phenomenology · Physics 2016-05-24 Leonard Gamberg , Zhong-Bo Kang , Ivan Vitev , Hongxi Xing

QCD matrix elements of axial and vector currents between nucleons are required for the Monte Carlo reconstruction of the energy of neutrinos that are detected in long baseline oscillation experiments in the quasi-elastic regime. The…

High Energy Physics - Lattice · Physics 2023-03-28 Lorenzo Barca , Gunnar Bali , Sara Collins

Long-range order in quantum many-body systems is usually associated with equilibrium situations. Here, we experimentally investigate the quasicondensation of strongly-interacting bosons at finite momenta in a far-from-equilibrium case. We…