Slow evolution of nearly-degenerate extremal surfaces
Copyright policy )Slow evolution of nearly-degenerate extremal surfaces
It was conjectured recently that the string worldsheet theory for the fast moving string in AdS times a sphere becomes effectively first order in the time derivative and describes the continuous limit of an integrable spin chain. In this paper we will try to make this statement more precise. We interpret the first order theory as describing the long term evolution of the tensionless string perturbed by a small tension. The long term evolution is a Hamiltonian flow on the moduli space of periodic trajectories. It should correspond to the renormgroup flow on the field theory side.
v4: added a reference to the earlier work
- California Institute of Technology United States
- Institute for Theoretical and Experimental Physics Russian Federation
High Energy Physics - Theory, AdS/CFT correspondence, High Energy Physics - Theory (hep-th), Applications of variational problems in infinite-dimensional spaces to the sciences, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, String and superstring theories in gravitational theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Classical mechanics, Extremal surface, Yang-Mills and other gauge theories in quantum field theory
High Energy Physics - Theory, AdS/CFT correspondence, High Energy Physics - Theory (hep-th), Applications of variational problems in infinite-dimensional spaces to the sciences, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, String and superstring theories in gravitational theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Classical mechanics, Extremal surface, Yang-Mills and other gauge theories in quantum field theory
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