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Title: Zeta-function regularization of holographic Wilson loops

Abstract

Using $${\zeta}$$-function regularization, we study the one-loop effective action of fundamental strings in $$Ad{S}_{5}\times{}{S}^{5}$$ dual to the latitude $$\frac{1}{4}$$-BPS Wilson loop in $$\mathcal{N}=4$$ 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.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States); Andrés Bello National Univ., Santiago (Chile); National Univ. of La Plata (UNLP) (Argentina)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Fund for Scientific and Technological Development; National Scientific and Technical Research Council (CONICET)
OSTI Identifier:
1464301
Alternate Identifier(s):
OSTI ID: 1503839; OSTI ID: 1650573
Grant/Contract Number:  
SC0017808; SC0007859; 1160282; PICT 2012-0417; PIP0595/13; X648UNLP; PIP 0681
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 4; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Gauge-gravity dualities; Large-N expansion in field theory; Strings & branes

Citation Formats

Aguilera-Damia, Jeremías, Faraggi, Alberto, Pando Zayas, Leopoldo A., Rathee, Vimal, and Silva, Guillermo A. Zeta-function regularization of holographic Wilson loops. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.98.046011.
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Aguilera-Damia, Jeremías, Faraggi, Alberto, Pando Zayas, Leopoldo A., Rathee, Vimal, & Silva, Guillermo A. Zeta-function regularization of holographic Wilson loops. United States. https://doi.org/10.1103/PhysRevD.98.046011
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Aguilera-Damia, Jeremías, Faraggi, Alberto, Pando Zayas, Leopoldo A., Rathee, Vimal, and Silva, Guillermo A. Mon . "Zeta-function regularization of holographic Wilson loops". United States. https://doi.org/10.1103/PhysRevD.98.046011.
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@article{osti_1464301,
title = {Zeta-function regularization of holographic Wilson loops},
author = {Aguilera-Damia, Jeremías and Faraggi, Alberto and Pando Zayas, Leopoldo A. and Rathee, Vimal and Silva, Guillermo A.},
abstractNote = {Using ${\zeta}$-function regularization, we study the one-loop effective action of fundamental strings in $Ad{S}_{5}\times{}{S}^{5}$ dual to the latitude $\frac{1}{4}$-BPS Wilson loop in $\mathcal{N}=4$ 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.},
doi = {10.1103/PhysRevD.98.046011},
journal = {Physical Review D},
number = 4,
volume = 98,
place = {United States},
year = {2018},
month = {8}
}
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https://doi.org/10.1103/PhysRevD.98.046011
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