Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-03-03
JHEP 0805:064,2008
Physics
High Energy Physics
High Energy Physics - Theory
32 pages; v2: typos corrected, acknowledgments added; v3: minor corrections, references added
Scientific paper
10.1088/1126-6708/2008/05/064
We compute the 1-loop correction to the effective action for the string solution in AdS_5 x S^5 dual to the circular Wilson loop. More generically, the method we use can be applied whenever the two dimensional spectral problem factorizes, to regularize and define the fluctuation determinants in terms of solutions of one-dimensional differential equations. A such it can be applied to non-homogeneous solutions both for open and closed strings and to various boundary conditions. In the case of the circular Wilson loop, we obtain, for the 1-loop partition function a result which up to a factor of two matches the expectation from the exact gauge theory computation. The discrepancy can be attributed to an overall constant in the string partition function coming from the normalization of zero modes, which we have not fixed.
Kruczenski Martin
Tirziu Alin
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