Conformal Symmetry in Matrix Model beyond the Eikonal Approximation
نویسنده
چکیده
Recently, it was shown by Jevicki, Kazama and Yoneya (JKY) that the SuperYang-Mills theories (SYM) in D ≤ 4 can reproduce the conformal symmetry of the near-horizon geometry of the D-brane solutions. However, the eikonal approximation they used is not sufficient for analyzing the conformal symmetry in SYM. We carry out the 1-loop calculation beyond the eikonal approximation for D = 1 SYM (i.e., Matrix model) to confirm the claim of JKY. [email protected] Supported in part by Grant-in-Aid for Scientific Research from Ministry of Education, Science and Culture (#09640346). [email protected]
منابع مشابه
Path Integral Methods for Soft Gluon Resummation
We describe a new framework for soft gluon resummation, based on path integral methods. The approach recovers previous results obtained in the eikonal approximation, in which all emitted gluons become soft. Furthermore, a clear physical interpretation allows straightforward extension of the framework to beyond the eikonal approximation, and we use this to classify the structure of next-to-eikon...
متن کاملنظریه میدان اسکالر کلاسیک با تقارن همدیس و پتانسیل نامثبت
We review the conformal symmetry group and investigate the isomorphism between the conformal group and O( D,2 ) . We study the classically conformal invariant scalar theory in D -dimensions with a non-positive potential . We solve the equations of motion by assigning O(D-1, 2)symmetry to the classical solutions with broken translational symmetry in all directions. Then we consider a six d...
متن کاملOn The Pomeron at Large ’t Hooft Coupling
We begin the process of unitarizing the Pomeron at large ’t Hooft coupling. We do so first in the conformal regime, which applies to good accuracy to a number of real and toy problems in QCD. We rewrite the conformal Pomeron in the J-plane and transverse position space, and then work out the eikonal approximation to multiple Pomeron exchange. This is done in the context of a more general treatm...
متن کاملOn the Eikonal Approximation in AdS Space
We explore the eikonal approximation to graviton exchange in AdS5 space, as relevant to scattering in gauge theories. We restrict ourselves to the regime where conformal invariance of the dual gauge theory holds, and to large ’t Hooft coupling where the computation involves pure gravity. We give a heuristic argument, a direct loop computation, and a shock wave derivation. The scalar propagator ...
متن کاملStatus of Eikonal Two-Loop Calculations with Massive Quarks
The calculation of threshold corrections to hard scattering cross sections beyond leading logarithms requires the calculation of loop diagrams in the eikonal approximation [1]. One-loop calculations have been performed for all 2 → 2 partonic processes in heavy quark [2] and jet [3] production. The soft anomalous dimension matrix ΓS at one-loop allows the resummation of soft-gluon corrections at...
متن کامل