The Coulomb law in the pure gauge U(1) theory on a lattice

Abstract

We study the heavy charge potential in the Coulomb phase of pure gauge compact U(1) theory on the lattice. We calculate the static potential $V_W(T,\vec{R})$ from Wilson loops on a $16^3\times 32$ lattice and compare with the predictions of lattice perturbation theory. We investigate finite size effects and, in particular, the importance of non-Coulomb contributions to the potential. We also comment on the existence of a maximal coupling in the Coulomb phase of pure gauge U(1) theory.

arXiv comment14 pages. LaTeX file and 3 postscript figures

Cited by in corpus (8)

• The Emergent Fine Structure Constant of Quantum Spin Ice Is Large
• Electromagnetic fluxes, monopoles, and the order of the 4d compact U(1) phase transition
• Gauge Theory Couplings on Anisotropic Lattices
• Establishment of the Coulomb law in the layer phase of a pure U(1) lattice gauge theory
• Lattice pure gauge compact QED in the Landau gauge: the photon propagator, the phase structure and the presence of Dirac strings
• The lattice Landau gauge photon propagator for 4D compact QED
• Short Range Linear Potential in 3D Lattice Compact QED
• Vison crystal in quantum spin ice on the breathing pyrochlore lattice