Renormalization group improvement and dynamical breaking of symmetry in a supersymmetric Chern-Simons-matter model
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Publication:288440
DOI10.1016/J.NUCLPHYSB.2016.04.015zbMATH Open1336.81050arXiv1405.6118OpenAlexW2247097253MaRDI QIDQ288440
Author name not available (Why is that?)
Publication date: 26 May 2016
Published in: (Search for Journal in Brave)
Abstract: In this work, we investigate the consequences of the Renormalization Group Equation (RGE) in the determination of the effective superpotential and the study of Dynamical Symmetry Breaking (DSB) in an N = 1 supersymmetric theory including an Abelian Chern-Simons superfield coupled to N scalar superfields in (2+1) dimensional spacetime. The classical Lagrangian presents scale invariance, which is broken by radiative corrections to the effective superpotential. We calculate the effective superpotential up to two-loops by using the RGE and the beta functions and anomalous dimensions known in the literature. We then show how the RGE can be used to improve this calculation, by summing up properly defined series of leading logs (LL), next-to-leading logs (NLL) contributions, and so on... We conclude that even if the RGE improvement procedure can indeed be applied in a supersymmetric model, the effects of the consideration of the RGE are not so dramatic as it happens in the non-supersymmetric case.
Full work available at URL: https://arxiv.org/abs/1405.6118
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