Two-point correlators in theβ-deformed Script N = 4 SYM at the next-to-leading order

2005/06/30 by Silvia Penati, Alberto Santambrogio, D. Zanon +1 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/1126-6708/2005/10/023

published as JHEP 0510 (2005) 023 · LaTex, 9 pages, 4 figures; v2:minor corrections and one reference added; v3: misprint corrected

arxiv created 2005/07/28 · openalex publication_date 2005/10/10 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We compute two-point functions of lowest weight operators at the next-to-leading order in the couplings for the beta-deformed N=4 SYM. In particular we focus on the CPO Tr(Phi₁²) and the operator Tr(Phi₁ Phi₂) not presently listed as BPS. We find that for both operators no anomalous dimension is generated at this order, then confirming the results recently obtained in hep-th/0506128. However, in both cases a finite correction to the two-point function appears.

Citations

• Two-point functions of chiral operators in Script N = 4 SYM at order g4
• Naturalness versus supersymmetric non-renormalization theorems
• Correlation functions of chiral primary operators in perturbative \cal N=4 SYM

Cited by

• Comments on the β-deformed Script N = 4 SYM theory
• Finite-size effects in the superconformal β-deformed 𝒩 = 4 SYM
• Instanton calculations in the β-deformed AdS/CFT correspondence
• The complete one-loop dilatation operator of planar real β-deformed N N = 4 SYM theory