Following the flow for large N and large charge

Orlando, Domenico; Reffert, Susanne; Schmidt, Tim (2022). Following the flow for large N and large charge. Physics letters. B, 825, p. 136881. Elsevier 10.1016/j.physletb.2022.136881

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We discuss the 0(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.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Orlando, Domenico; Reffert, Susanne and Schmidt, Tim

Subjects:

500 Science > 530 Physics

ISSN:

0370-2693

Publisher:

Elsevier

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

09 Mar 2022 13:53

Last Modified:

20 Mar 2022 01:55

Publisher DOI:

10.1016/j.physletb.2022.136881

ArXiv ID:

2110.07616

BORIS DOI:

10.48350/165530

URI:

https://boris.unibe.ch/id/eprint/165530

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