Melting Instantons, Domain Walls, and Large N

Details Melting Instantons, Domain Walls, and Large N Melting Instantons, Domain Walls, and Large N

2008-10-22

arxiv.org/abs/0810.4131v1

PoS LATTICE2008:260,2008

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 3 figures. Talk presented at Lattice 2008, Williamsburg, VA

Scientific paper

Monte Carlo studies of $CP^{N-1}$ sigma models have shown that the structure of topological charge in these models undergoes a sharp transition at $N=N_c\approx 4$. For $NN_c$ it is dominated by extended, thin, 1-dimensionally coherent membranes of topological charge, which can be interpreted as domain walls between discrete quasi-stable vacua. These vacua differ by a unit of background electric flux. The transition can be identified as the delocalization of topological charge, or "instanton melting," a phenomenon first suggested by Witten to resolve the conflict between instantons and large $N$ behavior. Implications for $QCD$ are discussed.

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