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We compute the hadron mass spectrum, the quark masses and the meson decay constants in quenched lattice QCD with non-perturbatively $O(a)$ improved Wilson fermions. The calculations are done for two values of the coupling constant, $\beta =…

高能物理 - 格点 · 物理学 2008-11-26 M. Göckeler , R. Horsley , H. Perlt , P. Rakow , G. Schierholz , A. Schiller , P. Stephenson

We develop an implementation for a recently proposed Noisy Monte Carlo approach to the simulation of lattice QCD with dynamical fermions by incorporating the full fermion determinant directly. Our algorithm uses a quenched gauge field…

高能物理 - 格点 · 物理学 2009-11-07 B. Joo , I. Horvath , K. F. Liu

We introduce regular series expansion for weakly- and moderately-correlated fermionic systems, based on Fluctuating Local Field approach. The method relies on the explicit account of leading fluctuating mode(s) and is therefore suitable for…

强关联电子 · 物理学 2024-12-25 Ya. S. Lyakhova , S. D. Semenov , A. I. Lichtenstein , A. N. Rubtsov

Hamiltonian lattice QCD with Wilson fermions is investigated systematically by strong-coupling expansion up to the second order. The effective Hamiltonian is diagonalized by Bogoliubov transformation. The vacuum energy, chiral condensate,…

高能物理 - 格点 · 物理学 2009-11-07 Yi-Zhong Fang , Xiang-Qian Luo

q-Deformed harmonic oscillator algebra for real and root of unity values of the deformation parameter is discussed by using an extension of the number concept proposed by Gauss, namely the Q-numbers. A study of the reducibility of the Fock…

量子代数 · 数学 2007-05-23 D. Galetti , J. T. Lunardi , B. M. Pimentel , M. Ruzzi

A recent numerical lattice calculation of the kaon mixing matrix elements of general $\Delta S=2$ four-fermion operators using staggered fermions relied on two auxiliary theoretical calculations. Here we describe the methodology and present…

高能物理 - 格点 · 物理学 2014-07-16 Jongjeong Kim , Weonjong Lee , Jaehoon Leem , Stephen R. Sharpe , Boram Yoon

We present results on QCD with four dynamical flavors in the temperature range $0.9 \lesssim T/T_c \lesssim 2$. We have performed lattice simulations with Wilson fermions at maximal twist and measured the topological charge with gluonic and…

This thesis develops advanced Tensor Network (TN) methods to address Hamiltonian Lattice Gauge Theories (LGTs), overcoming limitations in real-time dynamics and finite-density regimes. A novel dressed-site formalism is introduced, enabling…

高能物理 - 格点 · 物理学 2025-05-14 Giovanni Cataldi

Improved staggered fermion formulations are a popular choice for lattice QCD calculations. Historically, the algorithm used for such calculations has been the inexact R algorithm, which has systematic errors that only vanish as the square…

高能物理 - 格点 · 物理学 2008-11-26 M. A. Clark , A. D. Kennedy

We propose a new method for Hybrid Monte Carlo (HMC) simulations with odd numbers of dynamical fermions on the lattice. It employs a different approach from polynomial or rational HMC. In this method, gamma-five hermiticity of the lattice…

高能物理 - 格点 · 物理学 2015-05-27 Kenji Ogawa

We propose a modification of the Hybrid-Monte-Carlo algorithm that allows for a larger step-size of the integration scheme at constant acceptance rate. The key ingredient is the splitting of the pseudo-fermion action into two parts. We test…

高能物理 - 格点 · 物理学 2015-06-25 M. Hasenbusch , K. Jansen

We present a study on the nonperturbative calculation of observables for inclusive semileptonic decays of $B_{(s)}$ mesons using lattice QCD. We focus on the comparison of two different methods to analyse the lattice data of Euclidean…

高能物理 - 格点 · 物理学 2024-01-01 Alessandro Barone , Shoji Hashimoto , Andreas Jüttner , Takashi Kaneko , Ryan Kellermann

Introducing, in the underlying gauge theory of the Standard Model, the frame vectors in internal space as field variables (framons), in addition to the usual gauge boson and matter fermions fields, one obtains: * the standard Higgs scalar…

高能物理 - 唯象学 · 物理学 2015-05-21 HM Chan , ST Tsou

We investigate a general matrix factorization for deviance-based data losses, extending the ubiquitous singular value decomposition beyond squared error loss. While similar approaches have been explored before, our method leverages…

机器学习 · 统计学 2023-07-04 Liang Wang , Luis Carvalho

A modification to the setup algorithm for the multigrid preconditioner of Wilson fermions in lattice QCD is presented. A larger basis of test vectors than that used in conventional multigrid is calculated by the smoother and truncated by…

高能物理 - 格点 · 物理学 2025-05-21 Travis Whyte , Andreas Stathopoulos , Eloy Romero

Using unimproved and non-perturbatively O(a) improved Wilson fermions, results are given for the three lowest moments of unpolarised nucleon structure functions. Renormalisation, chiral extrapolation and the continuum limit of the matrix…

高能物理 - 格点 · 物理学 2008-11-26 S. Capitani , M. Gockeler , R. Horsley , D. Pleiter , P. Rakow , H. Stuben , G. Schierholz

We introduce a WENO reconstruction based on Hermite interpolation both for semi-Lagrangian and finite difference methods. This WENO reconstruction technique allows to control spurious oscillations. We develop third and fifth order methods…

数值分析 · 数学 2015-06-18 Chang Yang , Francis Filbet

Lattice field theory (LFT) is the standard non-perturbative method to perform numerical calculations of quantum field theory. However, the typical bottleneck of fermionic lattice calculations is the inversion of the Dirac matrix. This…

高能物理 - 格点 · 物理学 2024-01-26 Felipe Attanasio , Marc Bauer , Jelle Dijkstra , Timoteo Lee , Jan M. Pawlowski , Wolfram Pernice

We discuss the use of renormalization counterterms to restore the chiral gauge symmetry in a lattice theory of Wilson fermions. We show that a large class of counterterms can be implemented automatically by making a simple modification to…

高能物理 - 格点 · 物理学 2014-11-17 Geoffrey T. Bodwin , Eve V. Kovacs

In [1] is proposed a simplified DeC method, that, when combined with the residual distribution (RD) framework, allows to construct a high order, explicit FE scheme with continuous approximation avoiding the inversion of the mass matrix for…

数值分析 · 数学 2022-11-17 Rémi Abgrall , Elise Le Mélédo , Philipp Öffner , Davide Torlo
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