Comments on k-Strings at Large N

Details Comments on k-Strings at Large N Comments on k-Strings at Large N

2010-12-29

arxiv.org/abs/1012.5875v2

JHEP 1103:075,2011

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, three figures, added references and a clarification

Scientific paper

10.1007/JHEP03(2011)075

We present a computation of the k-string tension in the large N limit of the two dimensional lattice Yang-Mills theory. It is well known that the problems of computing the partition function and the Wilson loop can be both reduced to a unitary matrix integral which has a third order phase transition separating weak and strong coupling. We give an explicit computation of the interaction energy for k-strings in the large N limit when k/N is held constant and non-zero. In this limit, the interaction energy is finite and attractive. We show that, in the strong coupling phase, the k -> N - k duality is realized as a first order phase transition. We also show that the lattice k-string tension reduces to the expected Casimir scaling in the continuum limit.

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