Toward the AdS/CFT gravity dual for High Energy Collisions: I.Falling into the AdS

Details Toward the AdS/CFT gravity dual for High Energy Collisions: I.Falling into the AdS Toward the AdS/CFT gravity dual for High Energy Collisions: I.Falling into the AdS

2006-10-13

arxiv.org/abs/hep-ph/0610168v3

Phys.Rev.D77:085013,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

v2 was redone, with new material and different introduction. It now includes introduction to the second paper of the series as

Scientific paper

10.1103/PhysRevD.77.085013

In the context of the AdS/CFT correspondence we discuss the gravity dual of a high energy collision in a strongly coupled ${\cal N}=4$ SYM gauge theory. We suggest a setting in which two colliding objects are made of non-dynamical heavy quarks and antiquarks, which allows to treat the process in classical string approximation. Collision ``debris'' consist of closed as well as open strings. If the latter have ends on two outgoing charges, and thus are being ``stretched'' along the collision axes. We discuss motion in AdS of some simple objects first -- massless and massive particles -- and then focus on open strings. We study the latter in a considerable detail, concluding that they rapidly become ``rectangular'' in proper time -spatial rapidity $\tau-y$ coordinates with well separated fragmentation part and a near-free-falling rapidity-independent central part. Assuming that in the collisions of ``walls'' of charges multiple stretching strings are created, we also consider the motion of a 3d stretching membrane. We then argue that a complete solution can be approximated by two different vacuum solutions of Einstein eqns, with matter membrane separating them. We identify one of this solution with Janik-Peschanski stretching black hole solution, and show that all objects approach its (retreating) horizon in an universal manner.

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