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Related papers: Dynamical fermion algorithm for variable actions

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I discuss the behaviour of algorithms for dynamical fermions as the sea-quark mass decreases. I focus on the Hybrid-Monte-Carlo (HMC) algorithm applied to two degenerate flavours of Wilson fermions. First, I briefly review the performance…

High Energy Physics - Lattice · Physics 2009-11-10 Martin Hasenbusch

An algorithm is presented for momentum gradient descent optimization based on the first-order differential equation of the Newtonian dynamics. The fictitious mass is introduced to the dynamics of momentum for regularizing the adaptive…

Machine Learning · Computer Science 2018-05-15 Zhidong Han

We derive a boson Hamiltonian from a Nuclear Hamiltonian whose potential is expanded in pairing multipoles and determine the fermion-boson mapping of operators. We use a new method of bosonization based on the evaluation of the partition…

Nuclear Theory · Physics 2007-05-23 Fabrizio Palumb

First results on the autocorrelation behaviour of a recently proposed fermion algorithm by M. L\"uscher are presented and discussed. The occurence of unexpected large autocorrelation times is explained. Possible improvements are discussed.

High Energy Physics - Lattice · Physics 2009-10-28 B. Jegerlehner

The random walk Metropolis (RWM) is one of the most common Markov chain Monte Carlo algorithms in practical use today. Its theoretical properties have been extensively explored for certain classes of target, and a number of results with…

Methodology · Statistics 2010-11-30 Chris Sherlock , Paul Fearnhead , Gareth O. Roberts

We present first, exploratory results of a hybrid Monte-Carlo algorithm for dynamical, n_f=2, four-dimensional QCD with overlap fermions. As expected, the computational requirements are typically two orders of magnitude larger for the…

High Energy Physics - Lattice · Physics 2010-02-03 Z. Fodor , S. D. Katz , K. K. Szabo

L\"uscher's local bosonic algorithm for Monte Carlo simulations of quantum field theories with fermions is applied to the simulation of a possibly supersymmetric Yang-Mills theory with a Majorana fermion in the adjoint representation.…

High Energy Physics - Lattice · Physics 2009-10-28 I. Montvay

Stochastic hydrodynamics provides a dynamical framework for the evolution of fluctuations in heavy-ion collisions, but poses significant challenges in numerical simulations. We present an algorithm for the simulation of non-relativistic…

Nuclear Theory · Physics 2026-02-03 Mattis Harhoff , Sören Schlichting , Lorenz von Smekal

We present a simple derivation of a Feynman-Kac type formula to study fermionic systems. In this approach the real time or the imaginary time dynamics is expressed in terms of the evolution of a collection of Poisson processes. A computer…

High Energy Physics - Lattice · Physics 2007-05-23 Matteo Beccaria , Carlo Presilla , Gian Fabrizio De Angelis , Giovanni Jona-Lasinio

We apply the recently developed dual fermion algorithm for disordered interacting systems to the Anderson-Hubbard model. This algorithm is compared with dynamical cluster approximation calculations for a one-dimensional system to establish…

Strongly Correlated Electrons · Physics 2017-01-24 P. Haase , S. -X. Yang , T. Pruschke , J. Moreno , M. Jarrell

The Metropolis algorithm is a Markov chain Monte Carlo (MCMC) algorithm used to simulate from parameter distributions of interest, such as generalized linear model parameters. The "Metropolis step" is a keystone concept that underlies…

Computation · Statistics 2023-08-31 Alexander P Keil , Jessie K Edwards , Ashley I Naimi , Stephen R Cole

Simulating interactions between fermions and bosons is central to understanding correlated phenomena, yet these systems are inherently difficult to treat classically. Previous quantum algorithms for fermion-boson models exhibit computation…

Quantum Physics · Physics 2026-01-27 Harriet Apel , Burak Şahinoğlu

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 introduce and compare three different Monte Carlo determinantal algorithms that allow one to compute dynamical quantities, such as the self-energy, of fermionic systems in their thermodynamic limit. We show that the most efficient…

Strongly Correlated Electrons · Physics 2018-02-14 Alice Moutenet , Wei Wu , Michel Ferrero

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

In the simplified setting of the Schwinger model we present a systematic study on the simulation of dynamical fermions by global accept/reject steps that take into account the fermion determinant. A family of exact algorithms is developed,…

High Energy Physics - Lattice · Physics 2008-11-26 Francesco Knechtli , Ulli Wolff

In this report, we propose a new adaptive time filter algorithm for the unsteady Stokes/Darcy model. First we present a first order ${\theta}$-scheme with the variable time step which is one parameter family of Linear Multi-step methods and…

Numerical Analysis · Mathematics 2022-08-29 Yi Qin , Yang Wang , Yi Li , Jian Li

I show how Markov chain sampling with the Metropolis-Hastings algorithm can be modified so as to take bigger steps when the distribution being sampled from has the characteristic that its density can be quickly recomputed for a new point if…

Statistics Theory · Mathematics 2007-06-13 Radford M. Neal

We consider how to accelerate fermionic molecular dynamics algorithms by introducing n pseudofermion fields coupled with the nth root of the fermionic kernel. This reduces the maximum pseudofermionic force, and thus allows a larger…

High Energy Physics - Lattice · Physics 2011-04-11 M. A. Clark , A. D. Kennedy

As part of a systematic algorithm study, we present first results on a performance comparison between a multibosonic algorithm and the hybrid Monte Carlo algorithm as employed by the SESAM collaboration. The standard Wilson fermion action…

High Energy Physics - Lattice · Physics 2008-11-26 W. Schroers , N. Eicker , M. D'Elia , Ph. de Forcrand , C. Gebert , Th. Lippert , I. Montvay , B. Orth , M. Pepe , K. Schilling