On anomalous conformal Ward identities for Wilson loops on polygon-like contours with circular edges

Dorn, Harald

doi:10.1007/JHEP03(2020)166

On anomalous conformal Ward identities for Wilson loops on polygon-like contours with circular edges

Harald Dorn
(
- Humboldt U., Berlin
)

Jan 23, 2020

20 pages

Published in:

JHEP 03 (2020) 166

Published: Mar 27, 2020

e-Print:

2001.03391 [hep-th]

DOI:

10.1007/JHEP03(2020)166

Report number:

HU-EP-20/01

View in:

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Abstract: (Springer)

We derive the anomalous conformal Ward identities for

\mathcal{N}

= 4 SYM Wilson loops on polygon-like contours with edges formed by circular arcs. With a suitable choice of parameterisation they are very similarly to those for local correlation functions. Their solutions have a conformally covariant factor depending on the distances of the corners times a conformally invariant remainder factor depending, besides on cross ratios of the corners, on the cusp angles and angles parameterising the torsion of the contours.

Note:

17 pages, 4 figures, title for announcement completed, titles for appendices added, reference added

Anomalies in Field and String Theories
Conformal and W Symmetry
Renormalization Group
Wilson
't Hooft and Polyakov loops
Ward identity: conformal
Wilson loop
correlation function
parametrization
covariance

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