Non-renormalization of two and three point correlators of SYM in superspace

1999/03/31 by F. Gonzalez-Rey, B. Kulik, I. Y. Park +1 · 45 citations
Physics and Astronomy · #Background field method #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #F-term #Feynman diagram #Gauge (firearms) #Gauge theory #Invariant (physics) #Mathematical physics #Physics #Quantum Chromodynamics and Particle Interactions #Renormalization #Superspace #Supersymmetric gauge theory #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1016/s0370-2693(99)00416-5

published in Physics Letters B 455(1-4), 164-170 (Elsevier BV) · 10 pages, 20 eps figures, references added

openalex publication_date 1999/05/01 · arxiv created 1999/06/08 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Certain two and three point functions of gauge invariant primary operators of \cal N=4 SYM are computed in \cal N=1 superspace keeping all the þ-components. This allows one to read off many component descendent correlators. Our results show the only possible g²_YM corrections to the free field correlators are contact terms. Therefore they vanish for operators at separate points, verifying the known non-renormalization theorems. This also implies the results are consistent with \cal N=4 supersymmetry even though the Lagrangian we use has only \cal N=1 manifest supersymmetry. We repeat some of the calculations using supersymmetric Landau gauge and obtain, as expected, the same results as those of supersymmetric Feynman gauge.

Citations

• Gauge boson exchange in AdSd+1
• The large Nc limit of four-point functions in N = 4 super-Yang-Mills theory from anti-de Sitter supergravity
• A note on four-point functions of conformal operators in N=4 Super-Yang Mills
• Four-point functions in N = 4 supersymmetric Yang-Mills theory at two loops
• The large N limit of superconformal field theories and supergravity

Cited by

• Inheritance principle and non-renormalization theorems at finite temperature
• Operators with Large R-Charge in N=4 Yang–Mills Theory