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Related papers: Dynamical overlap simulations using HMC

200 papers

Numerically exact continuous-time Quantum Monte Carlo algorithm for finite fermionic systems with non-local interactions is proposed. The scheme is particularly applicable for general multi-band time-dependent correlations since it does not…

Strongly Correlated Electrons · Physics 2009-11-10 A. N. Rubtsov , A. I. Lichtenstein

We present first results of classical-statistical real-time simulations of anomalous transport phenomena with overlap fermions. We find that even on small lattices overlap fermions reproduce the real-time anomaly equation with much better…

High Energy Physics - Lattice · Physics 2016-12-15 P. V. Buividovich , S. N. Valgushev

A certain U(1) model in 2 dimensions, describing four right handed unit charged Weyl fermions interacting with one doubly charged left handed Weyl fermion, is exactly soluble and has massless Majorana-Weyl composites. Instanton induced…

High Energy Physics - Lattice · Physics 2009-10-30 Yoshio Kikukawa , Herbert Neuberger

Smearing the gauge links of dynamical configurations removes small scale unphysical vacuum fluctuations und thus improves the chiral properties of lattice fermions. We present a new algorithm for the simulation of dynamical fermions coupled…

High Energy Physics - Lattice · Physics 2015-06-25 A. Hasenfratz , F. Knechtli

We present a concise way to calculate force for Hybrid Monte Carlo with improved actions using the fact that changes in thin and smeared link matrices lie in their respective tangent vector spaces. Since hypercubic smearing schemes are very…

High Energy Physics - Lattice · Physics 2014-01-07 Nikhil Karthik

Hamiltonian Monte Carlo (HMC) exploits Hamiltonian dynamics to construct efficient proposals for Markov chain Monte Carlo (MCMC). In this paper, we present a generalization of HMC which exploits \textit{non-canonical} Hamiltonian dynamics.…

Machine Learning · Statistics 2017-08-22 Nilesh Tripuraneni , Mark Rowland , Zoubin Ghahramani , Richard Turner

The overlap formulation is applied to an anomaly free combination of chiral fermions coupled to U(1) gauge fields on a 2D torus. Evidence is presented that gauge averaging the overlap phases in these models produces correct continuum…

High Energy Physics - Lattice · Physics 2009-10-28 Rajamani Narayanan , Herbert Neuberger

As a prerequisite to dynamical fermion simulations a detailed study of optimal parameters and scaling behavior is conducted for the quenched Schr\"odinger functional at fixed renormalized coupling. We compare standard hybrid overrelaxation…

High Energy Physics - Lattice · Physics 2015-06-25 Bernd Gehrmann , Ulli Wolff

We perform hybrid Monte-Carlo simulation of $N_f=2+1+1 $ lattice QCD with domain-wall quarks at the physical point. The simulation is carried out on the $ L^3 \times T = 64^3 \times 64 $ lattice with lattice spacing $a \sim 0.064 $ fm ($ L…

High Energy Physics - Lattice · Physics 2022-09-21 Ting-Wai Chiu

The Rational Hybrid Monte Carlo (RHMC) algorithm extends the Hybrid Monte Carlo algorithm for lattice QCD simulations to situations involving fractional powers of the determinant of the quadratic Dirac operator. This avoids the updating…

High Energy Physics - Lattice · Physics 2008-11-26 J. B. Kogut , D. K. Sinclair

Hamiltonian Monte Carlo (HMC) has emerged as a powerful Markov Chain Monte Carlo (MCMC) method to sample from complex continuous distributions. However, a fundamental limitation of HMC is that it can not be applied to distributions with…

Computation · Statistics 2021-12-10 Guangyao Zhou

Hybrid Monte Carlo (HMC) generates samples from a prescribed probability distribution in a configuration space by simulating Hamiltonian dynamics, followed by the Metropolis (-Hastings) acceptance/rejection step. Compressible HMC (CHMC)…

Computational Physics · Physics 2016-04-05 Akihiko Nishimura , David Dunson

Massless fermion field interacting with abelian dynamical gauge field on 2-dimensional random-block lattices are investigated using Hybrid Monte Carlo simulations. Preliminary results of the Wilson loop and the chiral correlation function…

High Energy Physics - Lattice · Physics 2011-02-16 Ting-Wai Chiu

We demonstrate that the multicanonical approach is not restricted to Monte Carlo simulations, but can also be applied to simulation techniques such as molecular dynamics, Langevin, and hybrid Monte Carlo algorithms. The effectiveness of the…

Chemical Physics · Physics 2007-05-23 Ulrich H. E. Hansmann , Yuko Okamoto , Frank Eisenmenger

We launched a project to perform dymanical fermion simulations using the overlap fermion formulation for sea quarks. In order to avoid the appearace of near-zero modes of the hermitian Wilson-Dirac operator $H_W$, we introduce a pair of…

High Energy Physics - Lattice · Physics 2008-11-26 JLQCD collaboration , S. Hashimoto , S. Aoki , H. Fukaya , K. Kanaya , T. Kaneko , H. Matsufuru , M. Okamoto , T. Onogi , N. Yamada

We perform a systematic study of low-lying eigenmodes of $H_w$ with various gauge actions to find the optimal choice for dynamical overlap fermion simulations, with which one may achieve lower numerical cost for HMC and better locality…

High Energy Physics - Lattice · Physics 2008-11-26 JLQCD Collaboration , N. Yamada , S. Aoki , H. Fukaya , S. Hashimoto , K-I. Ishikawa , K. Kanaya , T. Kaneko , H. Matsufuru , M. Okamoto , T. Onogi

We propose a method for Monte Carlo simulations of systems with a complex action. The method has the advantages of being in principle applicable to any such system and provides a solution to the overlap problem. In some cases, like in the…

High Energy Physics - Lattice · Physics 2009-11-10 J. Ambjorn , K. N. Anagnostopoulos , J. Nishimura , J. J. M. Verbaarschot

This paper introduces a novel ansatz-based technique for solution of the Hubbard model over two length scales. Short range correlations are treated exactly using a dynamical cluster approximation QMC simulation, while longer-length-scale…

Strongly Correlated Electrons · Physics 2009-11-10 J. P. Hague , Mark Jarrell , T. C. Schulthess

A parallelized hybrid Monte Carlo (HMC) methodology is devised to quantify the microstructural evolution of polycrystalline material under elastic loading. The approach combines a time explicit material point method (MPM) for the mechanical…

Materials Science · Physics 2010-09-03 Liangzhe Zhang , Timothy Bartel , Mark T. Lusk

This review describes the multiboson algorithm for Monte Carlo simulations of lattice QCD, including its static and dynamical aspects, and presents a comparison with Hybrid Monte Carlo.

High Energy Physics - Lattice · Physics 2007-05-23 Ph. de Forcrand