Wilson Loops, D-Branes, and Reparametrization Path-Integrals

Details Wilson Loops, D-Branes, and Reparametrization Path-Integrals Wilson Loops, D-Branes, and Reparametrization Path-Integrals

2002-04-30

arxiv.org/abs/hep-th/0204250v2

JHEP 0212 (2002) 068

Physics

High Energy Physics

High Energy Physics - Theory

36pp

Scientific paper

10.1088/1126-6708/2002/12/068

We study path-integrals over reparametrizations of the world-sheet boundary. Such integrals arise when string propagates between fixed space-time contours. In gauge/string duality they are needed to describe gauge theory Wilson loops. We show that (1) in AdS/CFT, the integral is well defined and gives a finite 1-loop correction to the Wilson loop; (2) in critical string theory, the integral is UV divergent, and fixed contour amplitudes are off shell. In the second case, we show that the divergences can be removed by renormalizing the contour. We calculate the 2-loop contour beta-function and explain how it is related to the D0-brane effective action. We also apply this method to compute the first alpha' correction to the effective action of higher dimensional branes.

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