From Large N Nonplanar Anomalous Dimensions to Open Spring Theory

Details From Large N Nonplanar Anomalous Dimensions to Open Spring Theory From Large N Nonplanar Anomalous Dimensions to Open Spring Theory

2011-11-04

arxiv.org/abs/1111.1058v1

Physics

High Energy Physics

High Energy Physics - Theory

13+1 pages, 3 figures

Scientific paper

In this note we compute the non-planar one loop anomalous dimension of restricted Schur polynomials that have a bare dimension of O(N). This is achieved by mapping the restricted Schur polynomials into states of a specific U(N) irreducible representation. In this way the dilatation operator is mapped into a u(n) valued operator and, as a result, can easily be diagonalized. The resulting spectrum is reproduced by a classical model of springs between masses.

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