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We introduce a dynamical fermion algorithm which is based on the hybrid Monte Carlo (HMC) algorithm, but without pseudofermions. The molecular dynamics steps in HMC are retained except the derivatives with respect to the gauge fields are…

High Energy Physics - Lattice · Physics 2009-10-28 K. F. Liu , S. J. Dong , C. Thron

We propose a lattice action including unphysical Wilson fermions with a negative mass m_0 of the order of the inverse lattice spacing. With this action, the exact zero mode of the hermitian Wilson-Dirac operator H_W(m_0) cannot appear and…

High Energy Physics - Lattice · Physics 2009-11-11 JLQCD collaboration , H. Fukaya , S. Hashimoto , K. -I. Ishikawa , T. Kaneko , H. Matsufuru , T. Onogi , N. Yamada

We present a massively parallel quantum Monte Carlo based implementation of real-space dynamical mean-field theory for general inhomogeneous correlated fermionic lattice systems. As a first application, we study magnetic order in a binary…

Quantum Gases · Physics 2010-12-16 N. Blümer , E. V. Gorelik

We describe collective-move Monte Carlo algorithms designed to approximate the overdamped dynamics of self-assembling nanoscale components equipped with strong, short-ranged and anisotropic interactions. Conventional Monte Carlo simulations…

Statistical Mechanics · Physics 2012-04-16 Stephen Whitelam

The use of APE smearing or other blocking techniques in lattice fermion actions can provide many advantages. There are many variants of these fat link actions in lattice QCD currently, such as FLIC fermions. The FLIC fermion formalism makes…

High Energy Physics - Lattice · Physics 2010-03-04 Waseem Kamleh , Derek B. Leinweber , Anthony G. Williams

We present simulation results for the 2-flavour Schwinger model with dynamical overlap fermions. In particular we apply the overlap hypercube operator at seven light fermion masses. In each case we collect sizable statistics in the…

High Energy Physics - Lattice · Physics 2008-11-26 Wolfgang Bietenholz , Stanislav Shcheredin , Jan Volkholz

We present an exact pseudofermion action for hybrid Monte Carlo simulation (HMC) of one-flavor domain-wall fermion (DWF), with the effective 4-dimensional Dirac operator equal to the optimal rational approximation of the overlap-Dirac…

High Energy Physics - Lattice · Physics 2014-09-30 Yu-Chih Chen , Ting-Wai Chiu

We address a long standing issue and determine the decorrelation efficiency of the Hybrid Monte Carlo algorithm (HMC), for full QCD with Wilson fermions, with respect to vacuum topology. On the basis of five state-of-the art QCD vacuum…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , G. Bali , M. D'Elia , A. Di Giacomo , N. Eicker , S. Guesken , H. Hoeber , Th. Lippert , K. Schilling , A. Spitz , T. Struckmann , P. Ueberholz , J. Viehoff

Considering Ginsparg-Wilson type fermions dynamically in lattice QCD simulations is a challenging task. The hope is to be able to approach smaller pion masses and to eventually reach physical situations. The price to pay is substantially…

High Energy Physics - Lattice · Physics 2009-11-11 C. B. Lang , Pushan Majumdar , Wolfgang Ortner

We derive the vector-like four dimensional overlap Dirac operator starting from a five dimensional Dirac action in the presence of a delta-function space-time defect. The effective operator is obtained by first integrating out all the…

High Energy Physics - Lattice · Physics 2008-11-26 C. D. Fosco , G. Torroba , H. Neuberger

The Hybrid Monte Carlo algorithm is adapted to the simulation of a system of classical degrees of freedom coupled to non self-interacting lattices fermions. The diagonalization of the Hamiltonian matrix is avoided by introducing a…

Strongly Correlated Electrons · Physics 2009-10-31 J. L. Alonso , L. A. Fernandez , F. Guinea , V. Laliena , V. Martin-Mayor

The pseudofermion action of the Hybrid Monte Carlo (HMC) algorithm for dynamical fermions is modified to directly incorporate Incomplete LU (ILU) factorisation. This reduces the stochastic noise and allows a larger molecular dynamics…

High Energy Physics - Lattice · Physics 2007-05-23 Mike Peardon

The Field-Transformation Hybrid Monte-Carlo (FTHMC) algorithm potentially mitigates the issue of critical slowing down by combining the HMC with a field transformation, originally proposed by L\"{u}scher and motivated as trivializing the…

High Energy Physics - Lattice · Physics 2025-02-11 Shuhei Yamamoto , Peter Boyle , Taku Izubuchi , Luchang Jin , Christoph Lehner , Nobuyuki Matsumoto

We propose a method to mitigate heavy-tailed distributions in fermion Quantum Monte Carlo simulations originating from zeros of the fermion determinant. In this case the second moment of the observables might be not well defined, and we…

Strongly Correlated Electrons · Physics 2022-09-05 Maksim Ulybyshev , Fakher Assaad

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…

High Energy Physics - Lattice · Physics 2009-11-07 B. Joo , I. Horvath , K. F. Liu

We present algorithmic improvements to the overlap Hybrid Monte Carlo algorithm, including preconditioning techniques and improvements to the correction step, used when one of the eigenvalues of the Kernel operator changes sign, which is…

High Energy Physics - Lattice · Physics 2007-05-23 N. Cundy , S. Krieg , Th. Lippert

We use the determinant Quantum Monte Carlo method (DQMC) to study the interaction-driven semimetal to antiferromagnetic insulator transition in a $\pi$-flux Hamiltonian with modulated hoppings, a model which has two species of Dirac…

Strongly Correlated Electrons · Physics 2018-07-04 H. -M. Guo , Lei Wang , R. T. Scalettar

The entanglement entropy probing novel phases and phase transitions numerically via quantum Monte Carlo has made great achievements in large-scale interacting spin/boson systems. In contrast, the numerical exploration in interacting fermion…

Statistical Mechanics · Physics 2025-05-15 Weilun Jiang , Gaopei Pan , Zhe Wang , Bin-Bin Mao , Heng Shen , Zheng Yan

Hybrid Monte Carlo simulations that implement the fermion action using multiple terms are commonly used. By the nature of their formulation they involve multiple integration time scales in the evolution of the system through simulation…

High Energy Physics - Lattice · Physics 2015-05-20 Waseem Kamleh

We investigate the distribution of low-lying eigenmodes of hermitian Wilson-Dirac operator, $H_W$, with the gauge action whose form is designed to avoid topology change, as well as with the standard plaquette action. On the quenched…

High Energy Physics - Lattice · Physics 2009-04-25 H. Fukaya , S. Hashimoto , T. Hirohashi , H. Matsufuru , K. Ogawa , T. Onogi