### Abstract

A new method to simulate lattice systems is described. We demonstrate our method by computing the complete partition functions of Z(2) and Z(8) gauge theories in four dimensions on lattices of size up to 6^{4}. Our method yields a clear signal for the first order transition(s) in these models without hysteresis or critical slowing down effects. We show how finite size scaling of the zeros of the partition function provides an unambiguous identification of the order of the transition.

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

Pages (from-to) | 381-386 |

Number of pages | 6 |

Journal | Physics Letters B |

Volume | 187 |

Issue number | 3-4 |

DOIs | |

State | Published - Mar 26 1987 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Physics Letters B*,

*187*(3-4), 381-386. https://doi.org/10.1016/0370-2693(87)91114-2

}

*Physics Letters B*, vol. 187, no. 3-4, pp. 381-386. https://doi.org/10.1016/0370-2693(87)91114-2

**The partition function of Z(2) and Z(8) lattice gauge theory in four dimensions, a novel approach to simulations of lattice systems.** / Bhanot, Gyan; Bitar, Khalil; Black, Steve; Carter, Paul; Salvador, Román.

Research output: Contribution to journal › Article

TY - JOUR

T1 - The partition function of Z(2) and Z(8) lattice gauge theory in four dimensions, a novel approach to simulations of lattice systems

AU - Bhanot, Gyan

AU - Bitar, Khalil

AU - Black, Steve

AU - Carter, Paul

AU - Salvador, Román

PY - 1987/3/26

Y1 - 1987/3/26

N2 - A new method to simulate lattice systems is described. We demonstrate our method by computing the complete partition functions of Z(2) and Z(8) gauge theories in four dimensions on lattices of size up to 64. Our method yields a clear signal for the first order transition(s) in these models without hysteresis or critical slowing down effects. We show how finite size scaling of the zeros of the partition function provides an unambiguous identification of the order of the transition.

AB - A new method to simulate lattice systems is described. We demonstrate our method by computing the complete partition functions of Z(2) and Z(8) gauge theories in four dimensions on lattices of size up to 64. Our method yields a clear signal for the first order transition(s) in these models without hysteresis or critical slowing down effects. We show how finite size scaling of the zeros of the partition function provides an unambiguous identification of the order of the transition.

UR - http://www.scopus.com/inward/record.url?scp=0002141684&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002141684&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(87)91114-2

DO - 10.1016/0370-2693(87)91114-2

M3 - Article

AN - SCOPUS:0002141684

VL - 187

SP - 381

EP - 386

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -