Holographic RG flow triggered by a classically marginal operator

2021/02/03 by Chanyong Park
Mathematics · Physics and Astronomy · #Anomaly (physics) #Black Holes and Theoretical Physics #Conformal anomaly #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Flow (mathematics) #Holography #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Noncommutative and Quantum Gravity Theories #Operator (biology) #Physics #Quantum field theory #Quantum mechanics #Renormalization #Renormalization group #Theoretical physics #hep-th

paper · pdf · doi:10.1103/physrevd.105.046004

21 pages, 1 figure

arxiv created 2021/02/03 · openalex publication_date 2022/02/04 · arxiv updated 2022/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study a holographic renormalization group (RG) flow triggered by a classically marginal operator. When a marginal operator deforms a conformal field theory, it does not yield a nontrivial RG flow at the classical level. At the quantum level, however, quantum corrections modify a marginal operator into one of the truly marginal, marginally relevant, and marginally irrelevant operators. This quantum correction may generate a nontrivial RG flow. We investigate how we can describe such an RG flow holographically with quantum corrections. Applying the holographic technique, we look into the change of physical quantities, like a coupling constant and vacuum expectation value, along the RG flow. We also study the holographic description of the trace anomaly caused by the gluon condensation.

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