Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-11-16
Nucl.Phys. B583 (2000) 76-104
Physics
High Energy Physics
High Energy Physics - Theory
1+33 pages, 3 figures, a minor correction, references added
Scientific paper
10.1016/S0550-3213(00)00238-8
We discuss the impact of quadratic quantum fluctuations on the Wilson loop extracted from classical string theory. We show that a large class of models, which includes the near horizon limit of D_p branes with 16 supersymmetries, admits a L\"{u}scher type correction to the classical potential. We confirm that the quantum determinant associated with a BPS configuration of a single quark in the AdS_5 \times S^5 model is free from divergences. We find that for the Wilson loop in that model, unlike the situation in flat space-time, the fermionic determinant does not cancel the bosonic one. For string models that correspond to gauge theories in the confining phase, we show that the correction to the potential is of a L\"{u}scher type and is attractive.
Kinar Yaron
Schreiber Edward
Sonnenschein Jacob
Weiss Nathan
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