Monopoles, quark confinement, and screening in fourdimensional U(1) lattice gauge theory
Abstract
We present numerical calculations using the magnetic monopoles of fourdimensional U(1) lattice gauge theory to obtain the heavy quark potential. Using the cosine action we perform a conventional gauge field simulation on a 16 ^{4} lattice. We then use the DeGrandToussaint scheme for locating magnetic current in the lattice gauge field configurations to obtain our monopole configurations. In addition to the heavy quark potential we also calculate the potential between heavy external monopoles. In the confined phase of quarks, we observe total screening between external monopoles. In the Coulomb phase of the quarks we find a partially screened Coulomb potential between external monopoles. Under the assumptions used to obtain the potential between external monopoles, we verify that the Dirac quantization condition holds for the product of renormalized electric and magnetic charges.
 Publication:

Nuclear Physics B
 Pub Date:
 March 1992
 DOI:
 10.1016/05503213(92)906888
 Bibcode:
 1992NuPhB.371..597S