OSU Navigation Bar

The Ohio State University University Libraries Knowledge Bank

The Knowledge Bank is scheduled for regular maintenance on Sunday, April 20th, 8:00 am to 12:00 pm EDT. During this time users will not be able to register, login, or submit content.

R-current DIS on a shock wave: Beyond the eikonal approximation

Please use this identifier to cite or link to this item: http://hdl.handle.net/1811/47973

Show full item record

Files Size Format View
fac_KovchegovY_PhysicalReviewD_2010_82_5.pdf 453.4Kb PDF View/Open

Title: R-current DIS on a shock wave: Beyond the eikonal approximation
Creators: Kovchegov, Yuri V.
Issue Date: 2010-09-08
Publisher: American Physical Society
Citation: Yuri V. Kovchegov, "R-current DIS on a shock wave: Beyond the eikonal approximation," Physical Review D 82, no. 5 (2010), doi:10.1103/PhysRevD.82.054011
DOI: 10.1103/PhysRevD.82.054011
Abstract: We find the deep inelastic scattering (DIS) structure functions at strong coupling by calculating R-current correlators on a finite-size shock wave using AdS/CFT correspondence. We improve on the existing results in the literature by going beyond the eikonal approximation for the two lowest orders in graviton exchanges. We argue that since the eikonal approximation at strong coupling resums integer powers of 1/x (with x the Bjorken-x variable), the noneikonal corrections bringing in positive integer powers of x cannot be neglected in the small-x limit, as the noneikonal order-x correction to the (n+1)st term in the eikonal series is of the same order in x as the nth eikonal term in that series. We demonstrate that, in qualitative agreement with the earlier DIS analysis based on calculation of the expectation value of the Wilson loop in the shock wave background using AdS/CFT, after inclusion of noneikonal corrections DIS structure functions are described by two momentum scales: Q_1^2 ∼ Λ^2 A^(1/3)/x and Q_2^2 ∼ Λ^2 A^(2/3), where Λ is the typical transverse momentum in the shock wave and A is the atomic number if the shock wave represents a nucleus. We discuss possible physical meanings of the scales Q_1 and Q_2.
ISSN: 1550-2368
URI: http://hdl.handle.net/1811/47973
Bookmark and Share