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We exactly rewrite the Z(2) lattice gauge theory with standard plaquetteaction as a random surface model equivalent to the untruncated set of itsstrong coupling graphs. By extending the worm approach applied to spin modelswe simulate such surfaces including Polyakov line defects that randomly walkover the lattice. Our Monte Carlo algorithms for the graph ensemble arereasonably efficient but not free of critical slowing down. Polyakov linecorrelators can be measured in this approach with small relative errors thatare independent of the separation. As a first application our results areconfronted with effective string theory predictions. In addition, the excessfree energy due to twisted boundary conditions becomes an easily accessibleobservable. Our numerical experiments are in three dimensions, but the methodis expected to work in any dimension.

Simulating the All-Order Strong Coupling Expansion V: Ising Gauge Theory