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  Two Loops to Two Loops in N=4 Supersymmetric Yang-Mills Theory

Plefka, J., & Staudacher, M. (2001). Two Loops to Two Loops in N=4 Supersymmetric Yang-Mills Theory. Journal of High Energy Physics, 2001(9): 031.

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Plefka, Jan1, Author
Staudacher, Matthias1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: We present a full two-loop (g6) perturbative field theoretic calculation of the expectation value of two circular Maldacena-Wilson loops in D = 4 = 4 supersymmetric U(N) gauge theory. It is demonstrated that, after taking into account very subtle cancellations of bulk and boundary divergences, the result is completely finite without any renormalization. As opposed to previous lower order calculations existing in the literature, internal vertex diagrams no longer cancel identically and lead to subleading corrections to the dominant ladder diagrams. Taking limits, we proceed to extract the two-loop static potential corresponding to two infinite anti-parallel lines. Our result gives some evidence that the existing strong-coupling calculations using the AdS/CFT conjecture might sum up the full set of large N planar Feynman diagrams.

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Language(s): eng - English
 Dates: 2001
 Publication Status: Published in print
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 Identifiers: eDoc: 2757
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2001 (9) Sequence Number: 031 Start / End Page: - Identifier: -