Superfield formalism for the one loop effective action and CP(N) model in three dimensions

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dc.creatorCho, Jin-Ho
dc.creatorHahn, Sang-Ok
dc.creatorOh, Phillial
dc.creatorPark, Cheonsoo
dc.creatorPark, Jeong-Hyuck
dc.date2003-12-09
dc.date2003-12-10
dc.date.accessioned2026-07-07T13:14:12Z
dc.date.available2026-07-07T13:14:12Z
dc.descriptionTo obtain the one loop effective action for a given superfield theory, one encounters the notion such as the `supertrace' of a differential operator on superspace. We develop, in a systematic way for the superspace of arbitrary dimension, a method to determine the supertrace precisely. We present a formula to express the supertrace explicitly as the superspace integral, which enables us to write the one loop effective action within the superfield formalism and still maintain the manifest supersymmetry. In the second part of the paper, we apply the result to a three dimensional N=1 supersymmetric CP(N) model in the auxiliary superfield formalism. The model contains a novel topological interaction term. We show in the large N limit the one loop effective action is given by the supersymmetric Maxwell-Chern-Simons theory.
dc.description1+12 pages, No figure
dc.identifierhttps://arxiv.org/abs/hep-th/0312088
dc.identifierhttp://arxiv.org/abs/hep-th/0312088
dc.identifierJHEP 0401:057,2004
dc.identifierdoi:10.1088/1126-6708/2004/01/057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230136
dc.subjectHigh Energy Physics - Theory
dc.titleSuperfield formalism for the one loop effective action and CP(N) model in three dimensions
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