Correlation Function of Circular Wilson Loops at Strong Coupling

Abstract

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.

44 pages, 14 figures. v2: references added

References in corpus (8)

• Holographic Wilson Loops
• Wilson Loops of Anti-symmetric Representation and D5-branes
• Functional Determinants in Quantum Field Theory
• Multiply wound Polyakov loops at strong coupling
• The Spectrum of Excitations of Holographic Wilson Loops
• The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve
• Quark-antiquark potential in AdS at one loop
• Correlators of Circular Wilson Loops from Holography

Cited by in corpus (25)

• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
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• Precision calculation of 1/4-BPS Wilson loops in AdS${}_5\times S^5$
• Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in $Ad{S}_5\times S^5$
• Holographic entanglement entropy in AdS4/BCFT3 and the Willmore functional
• Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
• Entanglement entropy from entanglement contour: higher dimensions
• Wilson loops and minimal area surfaces in hyperbolic space
• On shape dependence of holographic entanglement entropy in AdS4/CFT3
• Wilson loops and Riemann theta functions II
• Entanglement Entropy of Annulus in Three Dimensions
• Ladder Limit for Correlators of Wilson Loops
• On shape dependence of holographic entanglement entropy in AdS4/CFT3 with Lifshitz scaling and hyperscaling violation
• Minimal area surfaces dual to Wilson loops and the Mathieu equation
• Spectral curve for open strings attached to the Y=0 brane
• Minimal area surfaces in AdS_{n+1} and Wilson loops
• Static Elliptic Minimal Surfaces in AdS(4)
• Entanglement Entropy of Annulus in Holographic Thermalization
• Minimal surfaces with mixed three-form flux
• Quantum corrections to minimal surfaces with mixed three-form flux
• Integrability and Wilson loops: the wavy line contour
• From algebraic curve to minimal surface and back
• Euclidean Wilson loops and Minimal Area Surfaces in Minkowski AdS3
• On regularizing the AdS superstring worldsheet
• Beyond AdS${}_2$/dCFT${}_1$: Insertions in Two Wilson Loops