Proof of all-order finiteness for planarβ-deformed Yang-Mills | Zendy

Sudarshan Ananth | Zendy; Stefano Kovacs | Zendy; Hidehiko Shimada | Zendy

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Proof of all-order finiteness for planarβ-deformed Yang-Mills

Author(s) -

Sudarshan Ananth,

Stefano Kovacs,

Hidehiko Shimada

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/01/046

Subject(s) - planar , order (exchange) , yang–mills existence and mass gap , mathematics , combinatorics , mathematical physics , theoretical physics , pure mathematics , physics , computer science , economics , computer graphics (images) , finance , gauge theory

We study a marginal deformation of N=4 Yang-Mills, with a real deformationparameter beta. This beta-deformed model has only N=1 supersymmetry and aU(1)xU(1) flavor symmetry. The introduction of a new superspace star-productallows us to formulate the theory in N=4 light-cone superspace, despite thefact that it has only N=1 supersymmetry. We show that this deformed theory isconformally invariant, in the planar approximation, by proving that its Greenfunctions are ultra-violet finite to all orders in perturbation theory.Comment: 27 pages, several figures; v3: minor correction

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