Precision calculation of 1/4-BPS Wilson loops in AdS 5 ×S 5
| Autor: | D. Seminara, V. Giangreco M. Puletti, Valentina Forini, Edoardo Vescovi, L. Griguolo |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
High Energy Physics - Theory
Physics Normalization (statistics) Nuclear and High Energy Physics 010308 nuclear & particles physics media_common.quotation_subject FOS: Physical sciences Ambiguity Remainder function 01 natural sciences Theoretical physics High Energy Physics::Theory High Energy Physics - Theory (hep-th) 0103 physical sciences Strong coupling 010306 general physics media_common |
| Zdroj: | Journal of High Energy Physics |
| Popis: | We study the strong coupling behaviour of $1/4$-BPS circular Wilson loops (a family of "latitudes") in ${\cal N}=4$ Super Yang-Mills theory, computing the one-loop corrections to the relevant classical string solutions in AdS$_5\times$S$^5$. Supersymmetric localization provides an exact result that, in the large 't Hooft coupling limit, should be reproduced by the sigma-model approach. To avoid ambiguities due to the absolute normalization of the string partition function, we compare the $ratio$ between the generic latitude and the maximal 1/2-BPS circle: Any measure-related ambiguity should simply cancel in this way. We use Gel'fand-Yaglom method to calculate the relevant functional determinants, that present some complications with respect to the standard circular case. After a careful numerical evaluation of our final expression we still find disagreement with the localization answer: The difference is encoded into a precise "remainder function". We comment on the possible origin and resolution of this discordance. Comment: References added, comments in introduction and conclusions added, it matches published version |
| Databáze: | OpenAIRE |
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