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Convexity, large charge and the large-N phase diagram of the φ4 theory.
- Source :
- Journal of High Energy Physics; Feb2022, Vol. 2022 Issue 2, p1-33, 33p
- Publication Year :
- 2022
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- PHASE diagrams
PSEUDOPOTENTIAL method
CONFORMAL field theory
PHASE space
Subjects
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2022
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 155883949
- Full Text :
- https://doi.org/10.1007/JHEP02(2022)152