Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-03-21
Physics
High Energy Physics
High Energy Physics - Theory
Acknowledged grants
Scientific paper
10.1016/j.physletb.2011.04.027
It is known that classical string dynamics in pure AdS_5\times S^5 is integrable and plays an important role in solvability. This is a deep and central issue in holography. Here we investigate similar classical integrability for a more realistic confining background and provide a negative answer. The dynamics of a class of simple string configurations in AdS soliton background can be mapped to the dynamics of a set of non-linearly coupled oscillators. In a suitable limit of small fluctuations we discuss a quasi-periodic analytic solution of the system. However numerics indicates chaotic behavior as the fluctuations are not small. Integrability implies the existence of a regular foliation of the phase space by invariant manifolds. Our numerics shows how this nice foliation structure is eventually lost due to chaotic motion. We also verify a positive Lyapunov index for chaotic orbits. Our dynamics is roughly similar to other known non-integrable coupled oscillators systems like Henon-Heiles equations.
Basu Pallab
Das Diptarka
Ghosh Archisman
No associations
LandOfFree
Integrability Lost does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Integrability Lost, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrability Lost will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-323999