Two loops to two loops in N = 4 supersymmetric Yang-Mills theory | Zendy

Jan Plefka | Zendy; Matthias Staudacher | Zendy

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Two loops to two loops in N = 4 supersymmetric Yang-Mills theory

Author(s) -

Jan Plefka,

Matthias Staudacher

Publication year - 2001

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 - 10.1088/1126-6708/2001/09/031

Subject(s) - physics , feynman diagram , vertex (graph theory) , renormalization , gauge theory , wilson loop , mathematical physics , loop (graph theory) , supersymmetry , conjecture , perturbation theory (quantum mechanics) , boundary value problem , gauge (firearms) , field theory (psychology) , theoretical physics , particle physics , quantum mechanics , mathematics , combinatorics , graph , archaeology , history

We present a full two-loop O(g^6) perturbative field theoretic calculation ofthe expectation value of two circular Maldacena-Wilson loops in D=4 N=4supersymmetric U(N) gauge theory. It is demonstrated that, after taking intoaccount very subtle cancellations of bulk and boundary divergences, the resultis completely finite without any renormalization. As opposed to previous lowerorder calculations existing in the literature, internal vertex diagrams nolonger cancel identically and lead to subleading corrections to the dominantladder diagrams. Taking limits, we proceed to extract the two-loop staticpotential corresponding to two infinite anti-parallel lines. Our result givessome evidence that the existing strong-coupling calculations using the AdS/CFTconjecture might sum up the full set of large N planar Feynman diagrams.Comment: 21 pages, 1 figur

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