Wilson loops in N=4 supersymmetric Yang-Mills theory - INSPIRE

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Wilson loops in N=4 supersymmetric Yang-Mills theory

J.K. Erickson
(
- British Columbia U.
)
,
G.W. Semenoff
(
- Princeton, Inst. Advanced Study
)
,
K. Zarembo
(
- British Columbia U. and
- British Columbia U., PIMS and
- Moscow, ITEP
)

Mar, 2000

23 pages

Published in:

Nucl.Phys.B 582 (2000) 155-175

e-Print:

hep-th/0003055 [hep-th]

DOI:

10.1016/S0550-3213(00)00300-X

Report number:

ITEP-TH-13-00

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Abstract:

Perturbative computations of the expectation value of the Wilson loop in N=4 supersymmetric Yang-Mills theory are reported. For the two special cases of a circular loop and a pair of anti-parallel lines, it is shown that the sum of an infinite class of ladder-like planar diagrams, when extrapolated to strong coupling, produces an expectation value characteristic of the results of the AdS/CFT correspondence,

<W>\sim\exp((constant)\sqrt{g^2N})

. For the case of the circular loop, the sum is obtained analytically for all values of the coupling. In this case, the constant factor in front of

\sqrt{g^2N}

also agrees with the supergravity results. We speculate that the sum of diagrams without internal vertices is exact and support this conjecture by showing that the leading corrections to the ladder diagrams cancel identically in four dimensions. We also show that, for arbitrary smooth loops, the ultraviolet divergences cancel to order

g^4N^2

.

11.15.Bt
12.60.Jv
Supersymmetric Yang–Mills theory
Conformal symmetry
AdS/CFT correspondence
Wilson loops (or lines)
gauge field theory: SU(N)
supersymmetry
Wilson loop
perturbation theory: higher-order

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