On phase transitions in the Rényi entropies of 2+1-d large-N interacting vector models

Harsha R. Hampapura; Albion Lawrence; Stefan Stanojevic

doi:10.1103/physrevb.100.134412

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arXiv · 1811.04109

On phase transitions in the Rényi entropies of 2+1-d large-N interacting vector models

Harsha R. Hampapura·Albion Lawrence·Stefan Stanojevic

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Abstract

We consider the reduced density matrix for a disc in the ground state of the interacting fixed points of the large-N O(N) vector model in 2+1 dimensions. Using the map to the free energy on $\mathbb{H}_2 \times S^1$, we show that there is an instability in the Rényi entropies at $n = 1$, in the $N \rightarrow \infty$ limit, indicating a phase transition at or near this Rényi parameter. We close with a discussion of the finite-N case.

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Harsha R. Hampapura, Albion Lawrence, Stefan Stanojevic. 2019-01-02. On phase transitions in the Rényi entropies of 2+1-d large-N interacting vector models. https://doi.org/10.1103/physrevb.100.134412

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