Reparametrization path integral in AdS and the holographic Schwinger effect
by
Yuri Makeenko(ITEP)
→
Europe/Stockholm
122:026
122:026
Description
Reparametrization path integral plays the crucial role for constructing
stringy representations of the Wilson loop in QCD, describing the minimal
surface at the saddle point and its quantum fluctuations in the semiclassical
approximation. I consider the reparametrization path integral in anti-de Sitter
space (AdS) by extending Douglas' algorithm for finding minimal surfaces to AdS.
The case of a circular boundary contour is elaborated. I discuss applications
to N=4 super Yang--Mills: a circular Wilson loop and the Schwinger
process, where a semiclassical correction to the critical constant electric
field is computed. The results are compared with the one-loop effective action
of Green-Schwarz superstring in AdS_5 x S^5, which is reconsidered
by properly accounting for the ghost and longitudinal determinants.
