On the problem of the magnetic mass
Abstract
The dynamical generation of a transverse gauge field mass is studied by means of gap equations for pure gauge theory and the gauged non-linear sigma model in three dimensions. Non-trivial solutions to the gap equations are found indicating that this type of mass generation is a feature of the static sector of finite temperature field theory. In the case of the non-linear sigma model the transverse mass can be defined in a manifestly gauge invariant manner. Its value is determined to be m=0.28g2.
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