Critical condition in gravitational shock wave collision and heavy ion collisions
- Max-Planck-Institut fuer Physik (Werner-Heisenberg-Institut), Foehringer Ring 6, 80805 Muenchen (Germany)
- Department of Physics and Astronomy, SUNY Stony-Brook, New York 11794 (United States)
In this paper, we derive a critical condition for matter equilibration in heavy ion collisions using a holographic approach. Gravitational shock waves with infinite transverse extension are used to model an infinite nucleus. We construct the trapped surface in the collision of two asymmetric planar shock waves with sources at different depth in the bulk AdS and formulate a critical condition for matter equilibration in the collision of ''nuclei'' in the dual gauge theory. We find the critical condition is insensitive to the depth of the source closer to the AdS boundary. To understand the origin of the critical condition, we compute the Next-to-Leading Order stress tensor in the boundary field theory due to the interaction of the nuclei and find that the critical condition corresponds to the breaking down of the perturbative expansion. We expect nonperturbative effects are needed to describe black hole formation.
- OSTI ID:
- 21505031
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevD.83.045025; (c) 2011 American Institute of Physics; 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
Universal hydrodynamic flow in holographic planar shock collisions
Related Subjects
ANTI DE SITTER SPACE
ASYMMETRY
BLACK HOLES
COLLISIONS
EXPANSION
FIELD THEORIES
GAUGE INVARIANCE
GRAVITATIONAL WAVES
HEAVY ION REACTIONS
HOLOGRAPHY
INTERACTIONS
NUCLEI
PERTURBATION THEORY
SHOCK WAVES
STRESSES
SURFACES
TRAPPING
INVARIANCE PRINCIPLES
MATHEMATICAL SPACE
NUCLEAR REACTIONS
SPACE