Eigenvalue density of Wilson loops in 2D SU(N) YM
arXiv:0904.4116 · doi:10.1088/1126-6708/2009/05/107
Abstract
In 1981 Durhuus and Olesen (DO) showed that at infinite N the eigenvalue density of a Wilson loop matrix W associated with a simple loop in two-dimensional Euclidean SU(N) Yang-Mills theory undergoes a phase transition at a critical size. The averages of det(z-W), 1/det(z-W), and det(1+uW)/(1-vW) at finite N lead to three different smoothed out expressions, all tending to the DO singular result at infinite N. These smooth extensions are obtained and compared to each other.
35 pages, 8 figures
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Cited by in corpus (11)
- SU(N) gauge theories at large N
- Introductory lectures to large-N QCD phenomenology and lattice results
- Universal distribution of Lyapunov exponents for products of Ginibre matrices
- Free products of large random matrices - a short review of recent developments
- Non-analyticity in scale in the planar limit of QCD
- Eigenvector statistics of the product of Ginibre matrices
- k-String tensions and the 1/N expansion
- Recent results in large-N lattice gauge theories
- Narain transform for spectral deformations of random matrix models
- Remarks on correlators of Polyakov Loops
- Eigenvalue density of Wilson loops in 2D SU(N) YM at large N