Following the flow for large N and large charge

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Publication:2071667

DOI10.1016/J.PHYSLETB.2022.136881zbMATH Open1484.81076arXiv2110.07616OpenAlexW4206517116MaRDI QIDQ2071667

Author name not available (Why is that?)

Publication date: 28 January 2022

Published in: (Search for Journal in Brave)

Abstract: 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.


Full work available at URL: https://arxiv.org/abs/2110.07616




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