Anti-Higgs effect in two-dimensional gauge theories

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Abstract
Two-dimensional gravitational and vector gauge theories obtained by reduction of D=3 topologically massive ones exhibit an 'anti-Higgs' effect: the gauge fields are absorbed by their massless scalar or spinor partners which thereby acquire a mass. The analysis of the supersymmetric vector model is also carried out in superspace, where it is shown that it can be correspondingly formulated in terms of pseudoscalar (rather than spinor) superfield strengths. Its first-order formulation is used to derive the self-interaction by a Noether procedure from the Abelian action, directly in superspace. The scalar superfield is also used to construct other sigma -model-like non-linear actions.

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