Journal of High Energy Physics

, 2013:131 | Cite as

Mixing with descendant fields in perturbed minimal CFT models

Article
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Abstract

We extend the analysis of the RG trajectory connecting successive minimal CFT models \( \mathcal{M} \) p and \( \mathcal{M} \) p−1 for p ≫ 1, performed by A. Zamolodchikov, to the fields \( \varphi \) n,n±3. This required a close investigation of mixing with the descendant fields at the level 2. In particular we identify those specific linear combinations of UV fields which flow to the IR fields \( \varphi \) n+3,n and \( \varphi \) n−3,n . We report also the results of the calculation of the same mixing coefficients through the recent RG domain wall approach by D. Gaiotto. These results are in complete agreement with the leading order perturbation theory.

Keywords

Field Theories in Lower Dimensions Conformal and W Symmetry Renormalization Group 
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Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  1. 1.Yerevan Physics InstituteYerevanArmenia
  2. 2.Yerevan State UniversityYerevanArmenia

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