Khare, Avinash ; MacKenzie, R. ; Paranjape, M. B. (1995) On the ColemanHill theorem Physics Letters B, 343 (14). pp. 239243. ISSN 03702693

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Related URL: http://dx.doi.org/10.1016/03702693(94)01420H
Abstract
The ColemanHill theorem prohibits the appearance of radiative corrections to the topological mass (more precisely, to the parityodd part of the vacuum polarization tensor at zero mementum) in a wide class of abelian gauge theories in 2+ 1 dimensions. We reexpress the theorem in terms of the effective action rather than in terms of the vacuum polarization tensor. The theorem so restated becomes somewhat stronger: a known exception to the theorem, spontaneously broken scalar ChernSimons electrodynamics, obeys the new nonrenormalization theorem. Whereas the vacuum polarization does receive a oneloop, parityodd correction, this does not translate to a radiative contribution to the ChernSimons term in the effective action. We also point out a new situation, involving scalar fields and parityodd couplings, which was overlooked in the orginal analysis, where the conditions of the theorem are satisfied and where the topological mass does, in fact, get a radiative correction.
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