Null Zig-Zag Wilson Loops in N=4 SYM
May, 200913 pages
Published in:
- Mod.Phys.Lett.A 25 (2010) 627-639
e-Print:
- 0905.0949 [hep-th]
Report number:
- HU-EP-09-19
View in:
Citations per year
0 Citations
Abstract: (arXiv)
In planar supersymmetric Yang-Mills theory we have studied supersymmetric Wilson loops composed of a large number of light-like segments, i.e., null zig-zags. These contours oscillate around smooth underlying spacelike paths. At one-loop in perturbation theory we have compared the finite part of the expectation value of null zig-zags to the finite part of the expectation value of non-scalar-coupled Wilson loops whose contours are the underlying smooth spacelike paths. In arXiv:0710.1060 [hep-th] it was argued that these quantities are equal for the case of a rectangular Wilson loop. Here we present a modest extension of this result to zig-zags of circular shape and zig-zags following non-parallel, disconnected line segments and show analytically that the one-loop finite part is indeed that given by the smooth spacelike Wilson loop without coupling to scalars which the zig-zag contour approximates. We make some comments regarding the generalization to arbitrary shapes.Note:
- 13 pages, 6 figures
- Wilson loop
- AdS/CFT
- Wilson loop
- gauge field theory: Yang-Mills
- perturbation theory: higher-order
- field theory: planar
- supersymmetry: 4
References(9)
Figures(6)