### Abstract

The Hamiltonian formulation of U(1) lattice gauge theory is studied in a basis of eigenstates of the electric-field operator. The guided-random-walk algorithm of Chin et al. is transcribed to the electric-field basis, and exact ground-state properties of the theory in three space dimensions are calculated. A novel variational scheme is used to compute the potential between two static charges for two space dimensions.

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

Pages (from-to) | 1795-1805 |

Number of pages | 11 |

Journal | Physical Review D |

Volume | 33 |

Issue number | 6 |

DOIs | |

State | Published - 1986 |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*33*(6), 1795-1805. https://doi.org/10.1103/PhysRevD.33.1795

**U(1) lattice gauge theory in the electric-field representation.** / Koonin, S. E.; Umland, E. A.; Zirnbauer, M. R.

Research output: Contribution to journal › Article

*Physical Review D*, vol. 33, no. 6, pp. 1795-1805. https://doi.org/10.1103/PhysRevD.33.1795

}

TY - JOUR

T1 - U(1) lattice gauge theory in the electric-field representation

AU - Koonin, S. E.

AU - Umland, E. A.

AU - Zirnbauer, M. R.

PY - 1986

Y1 - 1986

N2 - The Hamiltonian formulation of U(1) lattice gauge theory is studied in a basis of eigenstates of the electric-field operator. The guided-random-walk algorithm of Chin et al. is transcribed to the electric-field basis, and exact ground-state properties of the theory in three space dimensions are calculated. A novel variational scheme is used to compute the potential between two static charges for two space dimensions.

AB - The Hamiltonian formulation of U(1) lattice gauge theory is studied in a basis of eigenstates of the electric-field operator. The guided-random-walk algorithm of Chin et al. is transcribed to the electric-field basis, and exact ground-state properties of the theory in three space dimensions are calculated. A novel variational scheme is used to compute the potential between two static charges for two space dimensions.

UR - http://www.scopus.com/inward/record.url?scp=0039417489&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039417489&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.33.1795

DO - 10.1103/PhysRevD.33.1795

M3 - Article

VL - 33

SP - 1795

EP - 1805

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 6

ER -