We consider a three-dimensional lattice CPN-1 model, which corresponds to the lattice Abelian-Higgs model in the infinite gauge-coupling limit. We investigate its phase diagram and critical behavior in the large-N limit. We obtain numerical evidence that the model undergoes a first-order transition for sufficiently large values of N, i.e. for any N > 2 up to N = 100. The transition becomes stronger-both the latent heat and the surface tension increase- A s N increases. Moreover, on the high-temperature side, gauge fields decorrelate on distances of the order of one lattice spacing for all values of N considered. Our results are consistent with a simple scenario, in which the transition is of first order for any N, including. We critically discuss the analytic large-N calculations that predicted a large-N continuous transition, showing that one crucial assumption made in these computations fails for the model we consider.

Large-N behavior of three-dimensional lattice CPN-1 models

Vicari E.
2020

Abstract

We consider a three-dimensional lattice CPN-1 model, which corresponds to the lattice Abelian-Higgs model in the infinite gauge-coupling limit. We investigate its phase diagram and critical behavior in the large-N limit. We obtain numerical evidence that the model undergoes a first-order transition for sufficiently large values of N, i.e. for any N > 2 up to N = 100. The transition becomes stronger-both the latent heat and the surface tension increase- A s N increases. Moreover, on the high-temperature side, gauge fields decorrelate on distances of the order of one lattice spacing for all values of N considered. Our results are consistent with a simple scenario, in which the transition is of first order for any N, including. We critically discuss the analytic large-N calculations that predicted a large-N continuous transition, showing that one crucial assumption made in these computations fails for the model we consider.
Pelissetto, A.; Vicari, E.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/1063117
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