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

Moser, Rafael; Orlando, Domenico; Reffert, Susanne (2022). Convexity, large charge and the large-N phase diagram of the φ4 theory. Journal of High Energy Physics, 2022(2) Springer 10.1007/JHEP02(2022)152

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In this note we discuss the phase space of the O(2N) vector model in the presence of a quadratic and a quartic interaction by writing the large-N effective potential using large charge methods in dimensions 2 < D < 4 and 4 < D < 6. Based on a simple discussion of the convexity properties of the grand potential, we find very different behavior in the two regimes: while in 2 < D < 4, the theory is well-behaved, the model in 4 < D < 6 leads to a complex CFT in the UV, consistently with earlier results. We also find a new metastable massive phase in the high-energy regime for the theory on the cylinder.

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:

Moser, Rafael; Orlando, Domenico and Reffert, Susanne

Subjects:

500 Science > 530 Physics

ISSN:

1029-8479

Publisher:

Springer

Language:

English

Submitter:

Binia Marti

Date Deposited:

23 Mar 2022 12:29

Last Modified:

27 Mar 2022 01:57

Publisher DOI:

10.1007/JHEP02(2022)152

ArXiv ID:

2110.07617

BORIS DOI:

10.48350/167203

URI:

https://boris.unibe.ch/id/eprint/167203

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