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We propose a general scheme for a digital construction of lattice gauge theories with dynamical fermions. In this method, the four-body interactions arising in models with $2+1$ dimensions and higher, are obtained stroboscopically, through…

Quantum Physics · Physics 2017-02-21 Erez Zohar , Alessandro Farace , Benni Reznik , J. Ignacio Cirac

We report on the first master-field simulations of QCD with 2+1 dynamical quark flavours using non-perturbatively improved stabilised Wilson fermions. Our simulations are performed at a lattice spacing of 0.094 fm with 96 and 192 points in…

High Energy Physics - Lattice · Physics 2021-11-24 P. Fritzsch , J. Bulava , M. Cè , A. Francis , M. Lüscher , A. Rago

Three topics concerning fermion simulation algorithms are discussed: 1.) A performance comparison of the multiboson technique to simulate dynamical fermions and the Kramers equation algorithm, 2.) the question of reversibility in the Hybrid…

High Energy Physics - Lattice · Physics 2007-05-23 Karl Jansen , Beat Jegerlehner , Chuan Liu

We study QCD in 2 dimensions using the improved lattice fermionic Hamiltonian proposed by Luo, Chen, Xu and Jiang. The vector mass and the chiral condensate are computed for various $SU(N_C)$ gauge groups. We do observe considerable…

High Energy Physics - Lattice · Physics 2009-10-31 Xiang-Qian Luo , J. Jiang , S. Guo , J. Li , J. Liu , Z. Mei , H. Jirari , H. Kroger , C. M. Wu

We apply the relative weights method to extract an effective Polyakov line action, at finite chemical potential, from an underlying $SU(3)$ lattice gauge theory with dynamical fermions. The center-symmetry breaking terms in the effective…

High Energy Physics - Lattice · Physics 2015-10-14 Roman Höllwieser , Jeff Greensite

We report preliminary results of our ongoing lattice computation of the Landau gauge quark propagator and the soft gluon limit of the quark-gluon vertex with 2 flavors of dynamical O(a) improved Wilson fermions.

High Energy Physics - Lattice · Physics 2018-01-09 Orlando Oliveira , Ayse Kızılersu , Paulo J. Silva , Jon-Ivar Skullerud , Andre Sternbeck , Anthony G. Williams

This thesis is focused on the implementation and the application of a novel kind of algorithm which is expected to overcome the limitations of older schemes. This new algorithm is named Multiboson Method. It allows to simulate an arbitrary…

High Energy Physics - Lattice · Physics 2009-09-29 Wolfram Schroers

The formulation of massless relativistic fermions in lattice gauge theories is hampered by the fundamental problem of species doubling, namely, the rise of spurious fermions modifying the underlying physics. A suitable tailoring of the…

Quantum Gases · Physics 2010-11-15 A. Bermudez , L. Mazza , M. Rizzi , N. Goldman , M. Lewenstein , M. A. Martin-Delgado

I review recent machine trends and algorithmic developments for dynamical lattice QCD simulations with the HMC algorithm for Wilson-type fermions. The topics include the trend toward multi-core processors and general purpose GPU (GPGPU)…

High Energy Physics - Lattice · Physics 2010-01-21 Ken-Ichi Ishikawa

We present an exact local bosonic algorithm for the simulation of dynamical fermions in lattice QCD. We show that this algorithm is a viable alternative to the Hybrid Monte Carlo algorithm.

High Energy Physics - Lattice · Physics 2009-10-28 Andrea Galli , Philippe de Forcrand

We have investigated QCD with two flavors of degenerate fermions using a Symanzik-improved lattice action for both the gauge and fermion actions. Our study focuses on the deconfinement transition on an $N_t=4$ lattice. Having located the…

We present preliminary results from simulations done on 170 $32^3 \times 64$ lattices at $\beta = 6.0$ using quenched Wilson fermions. This talk focuses on the $Q^2$ behavior of the form-factors, extrapolation in quark masses, dependence on…

High Energy Physics - Lattice · Physics 2007-05-23 Tanmoy Bhattacharya , Rajan Gupta

The electromagnetic form factors provide important insight into the internal structure of the nucleon and continue to be of major interest for experiment and phenomenology. For an intermediate range of momenta the form factors can be…

We use quantum link models to construct a quantum simulator for U(N) and SU(N) lattice gauge theories. These models replace Wilson's classical link variables by quantum link operators, reducing the link Hilbert space to a finite number of…

High Energy Physics - Lattice · Physics 2013-11-21 Michael Bögli

We study the Hamiltonian formulation of SU(2) Yang-Mills theory with staggered fermions in a (2+1)-dimensional small lattice system. We construct a gauge-invariant and finite-dimensional Hilbert space for the theory by applying the…

High Energy Physics - Lattice · Physics 2025-04-17 Zhen-Xuan Yang , Hidefumi Matsuda , Xu-Guang Huang , Kouji Kashiwa

We present results of quenched $SU(3)$ hadron spectroscopy using $\order(a)$ improved Wilson fermions. The configurations were generated using an $\order(a^2)$ improved 6-link $SU(3)$ pure gauge action at $\beta$'s corresponding to lattice…

High Energy Physics - Lattice · Physics 2010-01-18 Sara Collins , Robert G. Edwards , Urs M. Heller , John Sloan

I review the theoretical foundations, properties as well as the simulation results obtained so far of a variant of the Wilson lattice QCD formulation: Wilson twisted mass lattice QCD. Emphasis is put on the discretization errors and on the…

High Energy Physics - Lattice · Physics 2008-05-19 A. Shindler

We formulate lattice fermions in a way that encompasses Wilson fermions as well as the static and non-relativistic approximations. In particular, we treat $m_qa$ systematically ($m_q$ is the fermion mass) showing how to understand the…

High Energy Physics - Lattice · Physics 2009-10-22 Andreas S. Kronfeld

A lot of effort in lattice simulations over the last years has been devoted to studies of the QCD deconfinement transition. Most state-of-the-art simulations use rooted staggered fermions, while Wilson fermions are affected by large…

High Energy Physics - Lattice · Physics 2011-01-27 Bastian B. Brandt , Owe Philipsen , Hartmut Wittig , Lars Zeidlewicz

We review the numerical analysis' understanding of Krylov subspace methods for solving (non-hermitian) systems of equations and discuss its implications for lattice gauge theory computations using the example of the Wilson fermion matrix.…

High Energy Physics - Lattice · Physics 2009-10-28 Andreas Frommer