The Partition Function of a Wilson Loop in a Strongly Coupled $\mathcal N=4$ Supersymmetric Yang-Mills Plasma with Fluctuations
High Energy Physics - Theory
2009-09-01 v3
Abstract
We examine the one-loop partition function describing the fluctuations of the superstring in a Schwarzschild-AdS background. On the bosonic side, we demonstrate the one-loop equivalence of the Nambu-Goto action and the Polyakov action for a general worldsheet, while on the fermionic side, we consider the reduction of the ten-dimensional Green-Schwarz fermion action to a two-dimensional worldsheet action. We derive the partition functions of the worldsheets corresponding to both straight and parallel Wilson lines. We show that the UV divergences of the functional determinants in the thermal AdS background are canceled.
Keywords
Cite
@article{arxiv.0809.1909,
title = {The Partition Function of a Wilson Loop in a Strongly Coupled $\mathcal N=4$ Supersymmetric Yang-Mills Plasma with Fluctuations},
author = {De-fu Hou and James T. Liu and Hai-cang Ren},
journal= {arXiv preprint arXiv:0809.1909},
year = {2009}
}
Comments
Typos fixed, in Revtex 32 pages, version to appear in Phys. Rev. D