Proof of ultraviolet finiteness for a planar non-supersymmetric Yang-Mills theory. (English) Zbl 1150.81013
Summary: This paper focuses on a three-parameter deformation of \(\mathcal N = 4\) 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 ultraviolet finite to all orders in light-cone perturbation theory.
MSC:
| 81T15 | Perturbative methods of renormalization applied to problems in quantum field theory |
| 81R40 | Symmetry breaking in quantum theory |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
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