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arXiv 1111.1058hep-th
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从大N非平面反常维数到开弹簧理论

From Large N Nonplanar Anomalous Dimensions to Open Spring Theory

Robert de Mello Koch, Garreth Kemp, Stephanie Smith

摘要:

本文计算了裸维数为O(N)的限制Schur多项式的非平面单圈反常维数。这是通过将受限舒尔多项式映射到特定U(N)不可约表示的状态来实现的。用这种方法,伸缩算子被映射成一个u(n)值算子,因此,可以很容易地对角化。由此产生的频谱再现质量之间的弹簧的经典模型。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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