Proof of ultra-violet finiteness for a planar non-supersymmetric Yang-Mills theory

Abstract

This paper focuses on a three-parameter deformation of N=4 Yang-Mills that breaks all the supersymmetry in the theory. We show that the resulting non-supersymmetric gauge theory is scale invariant, in the planar approximation, by proving that its Green functions are ultra-violet finite to all orders in light-cone perturbation theory.

13 pages, 1 figure; v2: minor corrections

References in corpus (4)

• Is N = 8 Supergravity Ultraviolet Finite?
• The N=8 Supergravity Hamiltonian as a Quadratic Form
• On the perturbative chiral ring for marginally deformed N=4 SYM theories
• On the all-order perturbative finiteness of the deformed N=4 SYM theory

Cited by in corpus (6)

• Large N Field Theory and AdS Tachyons
• Gluon Scattering in Deformed N=4 SYM
• On the continuity of the commutative limit of the 4d N=4 non-commutative super Yang-Mills theory
• One-Loop Partition Functions in Deformed $\mathcal{N}=4$ SYM Theory
• Holographic backgrounds from D-brane probes
• A hitchhiker's guide to quantum field theoretic aspects of $\mathcal{N}=4$ SYM theory and its deformations