FIELD-STRENGTH AND MONOPOLES IN DUAL U(1) LATTICE GAUGE-THEORY

In any Abelian gauge theory with an action periodic in the link variab les one can perform a duality transformation not only in the partition function, but also in correlation functions including Polyakov loops. The calculation of expectation values in the confinement phase, like electric field strength or monopole currents in the presence of extern al charges, becomes significantly more efficient simulating the dual t heory. We demonstrate this using the ordinary Wilson action. This appr oach also allows a quantitative analysis of the dual superconductor mo del, because the dual transformed U(1) theory can be regarded as limit of a dual non-compact Abelian Higgs model. In this way we also try to interpret the behaviour of monopole condensate and string fluctuation s. Finally we present some applications for simulating the dual U(1) g auge theory.