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

Ananth, Sudarshan; Kovacs, Stefano; Shimada, Hidehiko

doi:10.1016/j.nuclphysb.2007.04.005

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

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Ananth, Sudarshan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Shimada, Hidehiko
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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nuclpb783-227.pdf
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Citation

Ananth, S., Kovacs, S., & Shimada, H. (2007). Proof of ultra-violet finiteness for a planar non-supersymmetric Yang-Mills theory. Nuclear Physics B, 783(3), 227-237. doi:10.1016/j.nuclphysb.2007.04.005.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4780-6

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.