### Abstract

We describe a heat-bath method for inverting a non-hermitian matrix which is suitable for calculating the lattice Dirac propagator G(U) = [m + D(U)]^{-1} in an arbitrary gluon field U. The method is a generalization of the usual heat-bath method for generating a gaussian distribution N exp[- 1 2xAx] from which the inverse (A)_{β}
^{-1} of the matrix A is easily obtained, provided A is a positive symmetric matrix. The new method is applied in the Monte Carlo method for dynamical fermions previously developed by the authors, after the ratio of fermionic determinants, which is required for gluon updating, has been expressed in terms of the lattice Dirac propagator. As a test of the present approach, we performed numerical calculations in the U(1) lattice gauge theory with dynamical fermions (lattice QED) and compared them to the very accurate results which are available from the dimer method at β = g^{-2} = 0.

Original language | English (US) |
---|---|

Pages (from-to) | 491-506 |

Number of pages | 16 |

Journal | Nuclear Physics, Section B |

Volume | 261 |

Issue number | C |

DOIs | |

State | Published - 1985 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics, Section B*,

*261*(C), 491-506. https://doi.org/10.1016/0550-3213(85)90584-X

**Heat-bath for the lattice Dirac propagator and a test of a Monte Carlo method for dynamical fermions.** / Rossi, Pietro; Zwanziger, Daniel.

Research output: Contribution to journal › Article

*Nuclear Physics, Section B*, vol. 261, no. C, pp. 491-506. https://doi.org/10.1016/0550-3213(85)90584-X

}

TY - JOUR

T1 - Heat-bath for the lattice Dirac propagator and a test of a Monte Carlo method for dynamical fermions

AU - Rossi, Pietro

AU - Zwanziger, Daniel

PY - 1985

Y1 - 1985

N2 - We describe a heat-bath method for inverting a non-hermitian matrix which is suitable for calculating the lattice Dirac propagator G(U) = [m + D(U)]-1 in an arbitrary gluon field U. The method is a generalization of the usual heat-bath method for generating a gaussian distribution N exp[- 1 2xAx] from which the inverse (A)β -1 of the matrix A is easily obtained, provided A is a positive symmetric matrix. The new method is applied in the Monte Carlo method for dynamical fermions previously developed by the authors, after the ratio of fermionic determinants, which is required for gluon updating, has been expressed in terms of the lattice Dirac propagator. As a test of the present approach, we performed numerical calculations in the U(1) lattice gauge theory with dynamical fermions (lattice QED) and compared them to the very accurate results which are available from the dimer method at β = g-2 = 0.

AB - We describe a heat-bath method for inverting a non-hermitian matrix which is suitable for calculating the lattice Dirac propagator G(U) = [m + D(U)]-1 in an arbitrary gluon field U. The method is a generalization of the usual heat-bath method for generating a gaussian distribution N exp[- 1 2xAx] from which the inverse (A)β -1 of the matrix A is easily obtained, provided A is a positive symmetric matrix. The new method is applied in the Monte Carlo method for dynamical fermions previously developed by the authors, after the ratio of fermionic determinants, which is required for gluon updating, has been expressed in terms of the lattice Dirac propagator. As a test of the present approach, we performed numerical calculations in the U(1) lattice gauge theory with dynamical fermions (lattice QED) and compared them to the very accurate results which are available from the dimer method at β = g-2 = 0.

UR - http://www.scopus.com/inward/record.url?scp=46549103675&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=46549103675&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(85)90584-X

DO - 10.1016/0550-3213(85)90584-X

M3 - Article

VL - 261

SP - 491

EP - 506

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - C

ER -