Wilson Loops for a quark anti-quark pair in D3-brane space
Henrique Boschi-Filho, Nelson R. F. Braga
TL;DR
This paper computes static Wilson loops for a quark-antiquark pair in D3-brane backgrounds, deriving potentials in flat and AdS spaces, enhancing understanding of gauge/gravity duality.
Contribution
It provides explicit calculations of Wilson loops in D3-brane geometries, connecting to known potentials in flat and AdS spaces, and offers simplified results from geodesic limits.
Findings
Reproduces quark-antiquark potentials in flat and AdS spaces.
Derives Wilson loops from geodesic shapes in D3-brane backgrounds.
Provides analytical results for static potentials in different geometries.
Abstract
We calculate static Wilson loops for a heavy quark anti-quark pair in different positions in the space generated by a large number of coincident D3-branes. Simple results are obtained from limiting cases of the geodesic shape. In particular, quark anti-quark static potentials for flat and AdS spaces are reproduced.
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