Jan Ambjørn, Poul Olesen and Carsten Peterson

**Stochastic confinement and dimensional reduction: (I). Four-dimensional SU(2) lattice gauge theory**

*Nuclear Physics*

**B240**, 189-212 (1984)

**Abstract:**

By Monte Carlo calculations on a 12

^{4}lattice we investigate four-dimensional SU(2) lattice gauge theory with respect to the conjecture that at large distances this theory reduces approximately to two-dimensional SU(2) lattice gauge theory. We find good numerical evidence for this conjecture. As a by-product we also measure the SU(2) string tension and find reasonable agreement with scaling. The “adjoint string tension” is also found to have a reasonable scaling behaviour.

LU TP 84-01