Abstract
The compact lattice gauge theory of the second-rank antisymmetric tensor field in four dimensions is studied. We calculate the hypersurface tension by Monte Carlo simulation on a 10 4 lattice. It is found that the tension does not go to zero for a finite value of the coupling constant. This suggests that the theory has the confinement phase only. This result is consistent with the result obtained from the dilute gas approximation of the instanton. Some phenomenological implications on the string model are discussed also.
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