Monday, January 30, 2012

1201.5634 (Pallab Basu et al.)

Chaos around Holographic Regge Trajectories    [PDF]

Pallab Basu, Diptarka Das, Archisman Ghosh, Leopoldo A. Pando Zayas
Using methods of Hamiltonian dynamical systems, we show analytically that a
dynamical system connected to the classical spinning string solution
holographically dual to the principal Regge trajectory is non-integrable. The
Regge trajectories themselves form an integrable island in the total phase
space of the dynamical system. Our argument applies to any gravity background
dual to confining field theories and we verify it explicitly in various
supergravity backgrounds: Klebanov-Strassler, Maldacena-Nunez, Witten QCD and
the AdS soliton. Having established non-integrability for this general class of
supergravity backgrounds, we show explicitly by direct computation of the
Poincare sections and the largest Lyapunov exponent, that such strings have
chaotic motion.
View original: http://arxiv.org/abs/1201.5634

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