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Following the flow for large N and large charge

Domenico Orlando, Susanne Reffert, Tim Schmidt

14/10/21 Published in : arXiv:2110.07616

We discuss the O(2N) vector model in three dimensions. While this model flows to the Wilson-Fisher fixed point when fine tuned, working in a double-scaling limit of large N and large charge allows us to study the model away from the critical point and even to follow the RG flow from the UV to the IR. The crucial observation is that the effective potential -- at leading order in N but exact to all orders in perturbation theory -- is the Legendre transform of the grand potential at fixed charge. This allows us to write an effective action and the free energy for generic values of the coupling in a very simple fashion and without evaluating any Feynman diagrams.

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Research project(s)

  • String Theory

The black hole information puzzle and the quantum de Finetti theorem

Convexity, large charge and the large-N phase diagram of the φ4

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