### 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 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

## Fingerprint Dive into the research topics of 'The partition function of Z(2) and Z(8) lattice gauge theory in four dimensions, a novel approach to simulations of lattice systems'. Together they form a unique fingerprint.

## Cite this

Bhanot, G., Bitar, K., Black, S., Carter, P., & Salvador, R. (1987). The partition function of Z(2) and Z(8) lattice gauge theory in four dimensions, a novel approach to simulations of lattice systems.

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