Correlation function of circular Wilson loops at strong coupling
2013 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 11, 117- p.Article in journal (Refereed) Published
We study the correlation function of two circular Wilson loops at strong coupling in N = 4 super Yang-Mills theory. Using the AdS/CFT correspondence, the problem maps to finding the minimal surface between two circles defined on the boundary of AdS, and the fluctuations around the classical solution in AdS(5) x S-5. At the classical level, we derive the string solution in H-3 X S-1 explicitly, and focus on properties such as stability and phase transition. Furthermore, a computation of the associated algebraic curve is given. At the quantum level, the one-loop partition function is constructed by introducing quadratic bosonic and fermionic fluctuations around the classical solution, embedded in AdS(5) x S-5. We find an analytic, formal expression for the partition function in terms of an infinite product by employing the Gel'fand-Yaglom method and supersymmetric regularization. We regulate the expression and evaluate the partition function numerically.
Place, publisher, year, edition, pages
2013. no 11, 117- p.
Wilson, 't Hooft and Polyakov loops, AdS-CFT Correspondence
IdentifiersURN: urn:nbn:se:uu:diva-212859DOI: 10.1007/JHEP11(2013)117ISI: 000327093100003OAI: oai:DiVA.org:uu-212859DiVA: diva2:680103