A microscopic semiclassical confining field equation for $U(1)$ lattice gauge theory in 2+1 dimensions

Details A microscopic semiclassical confining field equation for $U(1)$ lattice gauge theory in 2+1 dimensions A microscopic semiclassical confining field equation for $U(1)$ lattice gauge theory in 2+1 dimensions

1996-01-23

arxiv.org/abs/hep-lat/9601015v1

Z.Phys. A356 (1996) 71-77

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, epsf postscript figures included, full postscript available at ftp://ftp.th.physik.uni-frankfurt.de/pub/cbest/micro.

Scientific paper

10.1007/s002180050150

We present a semiclassical nonlinear field equation for the confining field in 2+1--dimensional $U(1)$ lattice gauge theory (compact QED). The equation is derived directly from the underlying microscopic quantum Hamiltonian by means of truncation. Its nonlinearities express the dynamic creation of magnetic monopole currents leading to the confinement of the electric field between two static electric charges. We solve the equation numerically and show that it can be interpreted as a London relation in a dual superconductor.

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