# Accelerating Dynamical-Fermion Computations Using the Rational Hybrid Monte Carlo Algorithm with Multiple Pseudofermion Fields

## Abstract

There has been much recent progress in the understanding and reduction of the computational cost of the hybrid Monte Carlo algorithm for lattice QCD as the quark mass parameter is reduced. In this letter we present a new solution to this problem, where we represent the fermionic determinant using n pseudofermion fields, each with an nth root kernel. We implement this within the framework of the rational hybrid Monte Carlo algorithm. We compare this algorithm with other recent methods in this area and find it is competitive with them.

- Authors:

- Center for Computational Sciences, Boston University, 3 Cummington Street, Boston, Massachusetts 02215 (United States)
- (United Kingdom)

- Publication Date:

- OSTI Identifier:
- 20955413

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevLett.98.051601; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGORITHMS; MATHEMATICAL SOLUTIONS; MONTE CARLO METHOD; QUANTUM CHROMODYNAMICS; QUARKS

### Citation Formats

```
Clark, M. A., Kennedy, A. D., and School of Physics, University of Edinburgh, Mayfield Road, Edinburgh, EH9 3JZ.
```*Accelerating Dynamical-Fermion Computations Using the Rational Hybrid Monte Carlo Algorithm with Multiple Pseudofermion Fields*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVLETT.98.051601.

```
Clark, M. A., Kennedy, A. D., & School of Physics, University of Edinburgh, Mayfield Road, Edinburgh, EH9 3JZ.
```*Accelerating Dynamical-Fermion Computations Using the Rational Hybrid Monte Carlo Algorithm with Multiple Pseudofermion Fields*. United States. doi:10.1103/PHYSREVLETT.98.051601.

```
Clark, M. A., Kennedy, A. D., and School of Physics, University of Edinburgh, Mayfield Road, Edinburgh, EH9 3JZ. Fri .
"Accelerating Dynamical-Fermion Computations Using the Rational Hybrid Monte Carlo Algorithm with Multiple Pseudofermion Fields". United States.
doi:10.1103/PHYSREVLETT.98.051601.
```

```
@article{osti_20955413,
```

title = {Accelerating Dynamical-Fermion Computations Using the Rational Hybrid Monte Carlo Algorithm with Multiple Pseudofermion Fields},

author = {Clark, M. A. and Kennedy, A. D. and School of Physics, University of Edinburgh, Mayfield Road, Edinburgh, EH9 3JZ},

abstractNote = {There has been much recent progress in the understanding and reduction of the computational cost of the hybrid Monte Carlo algorithm for lattice QCD as the quark mass parameter is reduced. In this letter we present a new solution to this problem, where we represent the fermionic determinant using n pseudofermion fields, each with an nth root kernel. We implement this within the framework of the rational hybrid Monte Carlo algorithm. We compare this algorithm with other recent methods in this area and find it is competitive with them.},

doi = {10.1103/PHYSREVLETT.98.051601},

journal = {Physical Review Letters},

number = 5,

volume = 98,

place = {United States},

year = {Fri Feb 02 00:00:00 EST 2007},

month = {Fri Feb 02 00:00:00 EST 2007}

}

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