Correlation Function of Circular Wilson Loops at Strong Coupling - INSPIRE

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Correlation Function of Circular Wilson Loops at Strong Coupling

Amit Dekel
(
- Uppsala U.
)
,
Thomas Klose
(
- Uppsala U. and
- Humboldt U., Berlin
)

Sep 12, 2013

48 pages

Published in:

JHEP 11 (2013) 117

Published: 2013

e-Print:

1309.3203 [hep-th]

DOI:

10.1007/JHEP11(2013)117

Report number:

UUITP-14-13,
HU-EP-13-45

View in:

ADS Abstract Service

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Abstract: (arXiv)

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.

Note:

44 pages, 14 figures. v2: references added

Wilson, 't Hooft and Polyakov loops
AdS-CFT Correspondence
supersymmetry: 4
fermion: fluctuation
surface: minimal
gauge field theory: Yang-Mills
field theory: conformal
partition function
anti-de Sitter
correlation function

References(43)

Figures(26)

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