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.

arXiv comment13 pages, 1 figure; v2: minor corrections

References in corpus (18)

• Gauge Theory Correlators from Non-Critical String Theory
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• Lax Pair for Strings in Lunin-Maldacena Background
• Is N = 8 Supergravity Ultraviolet Finite?
• Deformations of N=4 SYM and integrable spin chain models
• Gauge-string duality for (non)supersymmetric deformations of N=4 Super Yang-Mills theory
• Exact results in planar N=1 superconformal Yang-Mills theory
• Amplitudes in the beta-deformed Conformal Yang-Mills
• Two-point correlators in the beta-deformed N=4 SYM at the next-to-leading order
• Lunin-Maldacena Deformations With Three Parameters
• Comments on the beta-deformed N=4 SYM Theory
• New results in the deformed N=4 SYM theory
• Proof of all-order finiteness for planar beta-deformed Yang-Mills
• The N=8 Supergravity Hamiltonian as a Quadratic Form
• On the perturbative chiral ring for marginally deformed N=4 SYM theories
• Eleven-Dimensional Supergravity in Light-Cone Superspace
• On the all-order perturbative finiteness of the deformed N=4 SYM theory

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