QCD, STRINGS AND BLACK HOLES:

The Large N limit of field theories and gravity

ABSTRACT:PROFESSOR JUAN MALDACENA

Department of Physics

Harvard University

QCD (Quantum Cromodynamics) is believed to be the theory for strong
interactions. However, despite its successes to describe high energy
processes it has not been possible to do calculationsat low energies (e.g.
calculate the mass of the proton). It is believed that a large N
(N is the number of colors) approximation would simplify the theory.
Furthermore, this simplified theory would be a free string theory.We
consider a supersymmetric version of QCD where one can find this string
theory quite explicitly. The strings move in a higher dimensional
space, and they describe a quantum theoryof gravity in this higher
dimensional space. higher dimensional space, and they describe a
quantum theory of gravity in this higher dimensional space.
This leads, on the one hand, to an explicit solution for the large N dynamics
of this theory, and on the other hand, to a description of quantum gravity,
quantum black holes, etc., in terms of a conventional field theory.

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Applied Math Colloquium: http://www-math.mit.edu/amc/fall99

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