Toward the AdS/CFT gravity dual for high energy collisions. I. Falling into the AdS space
- Department of Physics and Astronomy, Stony Brook University, Stony Brook New York 11794-3800 (United States)
In the context of the AdS/CFT correspondence we discuss the gravity dual of a high energy collision in a strongly coupled N=4 SYM gauge theory. We suggest a setting in which two colliding objects are made of nondynamical heavy quarks and antiquarks, which allows one 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, they 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 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 equations, with matter membrane separating them. We identify one of these solutions with a Janik-Peschanski stretching black hole solution, and show that all objects approach its (retreating) horizon in a universal manner.
- OSTI ID:
- 21250048
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 77, Issue 8; Other Information: DOI: 10.1103/PhysRevD.77.085013; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Toward the AdS/CFT gravity dual for high energy collisions. III. Gravitationally collapsing shell and quasiequilibrium
Testing the AdS/CFT Correspondence
Related Subjects
APPROXIMATIONS
B QUARKS
BLACK HOLES
C QUARKS
COLLISIONS
COORDINATES
DE SITTER GROUP
EINSTEIN FIELD EQUATIONS
FRAGMENTATION
GAUGE INVARIANCE
GRAVITATION
MATHEMATICAL SOLUTIONS
PARTICLE RAPIDITY
QUANTUM FIELD THEORY
QUARK-ANTIQUARK INTERACTIONS
SPACE
STRING MODELS
STRONG-COUPLING MODEL
T QUARKS