From Large N Nonplanar Anomalous Dimensions to Open Spring Theory
High Energy Physics - Theory
2015-06-03 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1111.1058,
title = {From Large N Nonplanar Anomalous Dimensions to Open Spring Theory},
author = {Robert de Mello Koch and Garreth Kemp and Stephanie Smith},
journal= {arXiv preprint arXiv:1111.1058},
year = {2015}
}
Comments
13+1 pages, 3 figures