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, 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: |
05 Dec 2022 16:14 |
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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