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

Slava Rychkov | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Slava Rychkov

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/12/068

Subject(s) - physics , path integral formulation , string (physics) , brane cosmology , duality (order theory) , wilson loop , string theory , brane , mathematical physics , loop (graph theory) , boundary (topology) , action (physics) , gauge (firearms) , path (computing) , gauge theory , space (punctuation) , mathematics , mathematical analysis , pure mathematics , quantum mechanics , combinatorics , computer science , archaeology , history , programming language , operating system , quantum

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 finite1-loop correction to the Wilson loop; (2) in critical string theory, theintegral is UV divergent, and fixed contour amplitudes are off shell. In thesecond case, we show that the divergences can be removed by renormalizing thecontour. We calculate the 2-loop contour beta-function and explain how it isrelated to the D0-brane effective action. We also apply this method to computethe first alpha' correction to the effective action of higher dimensionalbranes.Comment: 36p

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research