### Abstract

We present Monte Carlo studies of Z(N) and U(1) lattice gauge theories in three space-time dimensions. The Z(N) gauge theory is analyzed via its dual spin system. We find that Z(N) has one phase transition that moves to zero temperature as N→. The U(1) theory has only a single, confining phase. A study of Wilson loops in Z(8) shows that the coefficient of the area law vanishes for all temperatures below the critical temperature. No such zero is seen in the string tension for U(1) gauge theory. We also study the U(1) gauge theory in five dimensions and see a clear signal for a first-order phase transition.

Original language | English (US) |
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Pages (from-to) | 2892-2902 |

Number of pages | 11 |

Journal | Physical Review D |

Volume | 21 |

Issue number | 10 |

DOIs | |

State | Published - Jan 1 1980 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*21*(10), 2892-2902. https://doi.org/10.1103/PhysRevD.21.2892

}

*Physical Review D*, vol. 21, no. 10, pp. 2892-2902. https://doi.org/10.1103/PhysRevD.21.2892

**Phase diagram of Z(N) and U(1) gauge theories in three dimensions.** / Bhanot, Gyan; Creutz, Michael.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Phase diagram of Z(N) and U(1) gauge theories in three dimensions

AU - Bhanot, Gyan

AU - Creutz, Michael

PY - 1980/1/1

Y1 - 1980/1/1

N2 - We present Monte Carlo studies of Z(N) and U(1) lattice gauge theories in three space-time dimensions. The Z(N) gauge theory is analyzed via its dual spin system. We find that Z(N) has one phase transition that moves to zero temperature as N→. The U(1) theory has only a single, confining phase. A study of Wilson loops in Z(8) shows that the coefficient of the area law vanishes for all temperatures below the critical temperature. No such zero is seen in the string tension for U(1) gauge theory. We also study the U(1) gauge theory in five dimensions and see a clear signal for a first-order phase transition.

AB - We present Monte Carlo studies of Z(N) and U(1) lattice gauge theories in three space-time dimensions. The Z(N) gauge theory is analyzed via its dual spin system. We find that Z(N) has one phase transition that moves to zero temperature as N→. The U(1) theory has only a single, confining phase. A study of Wilson loops in Z(8) shows that the coefficient of the area law vanishes for all temperatures below the critical temperature. No such zero is seen in the string tension for U(1) gauge theory. We also study the U(1) gauge theory in five dimensions and see a clear signal for a first-order phase transition.

UR - http://www.scopus.com/inward/record.url?scp=0001527367&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001527367&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.21.2892

DO - 10.1103/PhysRevD.21.2892

M3 - Article

AN - SCOPUS:0001527367

VL - 21

SP - 2892

EP - 2902

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 10

ER -