Zeta-function regularization of holographic Wilson loops

Open Access

Zeta-function regularization of holographic Wilson loops

Jeremías Aguilera-Damia, Alberto Faraggi, Leopoldo A. Pando Zayas, Vimal Rathee, and Guillermo A. Silva

Phys. Rev. D 98, 046011 – Published 13 August 2018

Abstract

Using $ζ$ -function regularization, we study the one-loop effective action of fundamental strings in $A d S_{5} \times S^{5}$ dual to the latitude $\frac{1}{4}$ -BPS Wilson loop in $N = 4$ super-Yang-Mills theory. To avoid certain ambiguities inherent to string theory on curved backgrounds we subtract the effective action of the holographic $\frac{1}{2}$ -BPS Wilson loop. We find agreement with the expected field theory result at first order in the small latitude angle expansion but discrepancies at higher order.

Received 13 July 2018

DOI:https://doi.org/10.1103/PhysRevD.98.046011

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Gauge-gravity dualities Large-N expansion in field theory Strings & branes

Particles & Fields

Authors & Affiliations

Jeremías Aguilera-Damia^1,*, Alberto Faraggi^2,†, Leopoldo A. Pando Zayas^3,4,‡, Vimal Rathee^3,§, and Guillermo A. Silva^1,4,∥

¹Instituto de Física de La Plata—CONICET and Departamento de Física, UNLP, C.C. 67, 1900 La Plata, Argentina
²Departamento de Ciencias Físicas, Facultad de Ciencias Exactas, Universidad Andrés Bello, Sazie 2212, Piso 7, Santiago, Chile
³Leinweber Center for Theoretical Physics, Randall Laboratory of Physics, The University of Michigan, Ann Arbor, Michigan 48109, USA
⁴The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34014 Trieste, Italy

^*jeremiasadlp@gmail.com
^†alberto.faraggi@unab.cl
^‡lpandoz@umich.edu
^§vimalr@umich.edu
^∥silva@fisica.unlp.edu.ar

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Issue

Vol. 98, Iss. 4 — 15 August 2018

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