Abstract
We calculate an effective potential for three-dimensional Yang-Mills theory to two loops. The result implies that a gauge invariant part of the field strength has a non-zero vacuum expectation value, φ. The two-point function of this field, calculated to one loop, shows that two polarization states propagate with a mass proportional to √ φ. In contrast to the usual Higgs mechanism the remaining degrees of freedom do not propagate. This dynamical generation of a “glueball” mass renders the already ultraviolet finite theory infrared finite and stabilizes vortices associated with the centre of the group.
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