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Abstract:

We consider a light-like Wilson loop in N = 4 SYM evaluated on a regular n-polygon contour. Sending the number of edges to infinity the polygon approximates a circle and the expectation value of the light-like WL is expected to tend to the localization result for the circular one. We show this explicitly at one loop, providing a prescription to deal with the divergences of the light-like WL and the large n limit. Taking this limit entails evaluating certain sums of dilogarithms which, for a regular polygon, evaluate to the same constant independently of n. We show that this occurs thanks to underlying dilogarithm identities, related to the so-called “polylogarithm ladders”, which appear in rather different contexts of physics and mathematics and enable us to perform the large n limit analytically. © 2015, The Author(s).

Registro:

Documento: Artículo
Título:Dilogarithm ladders from Wilson loops
Autor:Bianchi, M.S.; Leoni, M.
Filiación:Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London, E1 4NS, United Kingdom
Physics Department, FCEyN-UBA & IFIBA-CONICET, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
Instituto de Física de La Plata, CONICET, UNLP, C.C. 67, La Plata, 1900, Argentina
Palabras clave:Scattering Amplitudes; Wilson; ’t Hooft and Polyakov loops
Año:2015
Volumen:2015
Número:2
DOI: http://dx.doi.org/10.1007/JHEP02(2015)180
Título revista:Journal of High Energy Physics
Título revista abreviado:J. High Energy Phys.
ISSN:11266708
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2015_n2_p_Bianchi

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Citas:

---------- APA ----------
Bianchi, M.S. & Leoni, M. (2015) . Dilogarithm ladders from Wilson loops. Journal of High Energy Physics, 2015(2).
http://dx.doi.org/10.1007/JHEP02(2015)180
---------- CHICAGO ----------
Bianchi, M.S., Leoni, M. "Dilogarithm ladders from Wilson loops" . Journal of High Energy Physics 2015, no. 2 (2015).
http://dx.doi.org/10.1007/JHEP02(2015)180
---------- MLA ----------
Bianchi, M.S., Leoni, M. "Dilogarithm ladders from Wilson loops" . Journal of High Energy Physics, vol. 2015, no. 2, 2015.
http://dx.doi.org/10.1007/JHEP02(2015)180
---------- VANCOUVER ----------
Bianchi, M.S., Leoni, M. Dilogarithm ladders from Wilson loops. J. High Energy Phys. 2015;2015(2).
http://dx.doi.org/10.1007/JHEP02(2015)180