Large Loops of Magnetic Current and Confinement in Four Dimensional $U(1)$ Lattice Gauge Theory

Details Large Loops of Magnetic Current and Confinement in Four Dimensional $U(1)$ Lattice Gauge Theory Large Loops of Magnetic Current and Confinement in Four Dimensional $U(1)$ Lattice Gauge Theory

1993-08-31

arxiv.org/abs/hep-lat/9308021v1

Phys.Rev.Lett.72:21-24,1994

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages (Latex file plus 3 postscript files appended), Univeristy of Illinois Preprint ILL-(TH)-93-\#15

Scientific paper

10.1103/PhysRevLett.72.21

We calculate the heavy quark potential from the magnetic current due to monopoles in four dimensional $U(1)$ lattice gauge theory. The magnetic current is found from link angle configurations using the DeGrand-Toussaint identification method. The link angle configurations are generated in a cosine action simulation on a $24^4$ lattice. The magnetic current is resolved into large loops which wrap around the lattice and simple loops which do not. Wrapping loops are found only in the confined phase. It is shown that the long range part of the heavy quark potential, in particular the string tension, can be calculated solely from the large, wrapping loops of magnetic current.

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