# Leading CFT constraints on multi-critical models in d>2

20 Apr 2017 Codello Alessandro Safari Mahmoud Vacca Gian Paolo Zanusso Omar

We consider the family of renormalizable scalar QFTs with self-interacting potentials of highest monomial $\phi^{m}$ below their upper critical dimensions $d_c=\frac{2m}{m-2}$, and study them using a combination of CFT constraints, Schwinger-Dyson equation and the free theory behavior at the upper critical dimension. For even integers $m \ge 4$ these theories coincide with the Landau-Ginzburg description of multi-critical phenomena and interpolate with the unitary minimal models in $d=2$, while for odd $m$ the theories are non-unitary and start at $m=3$ with the Lee-Yang universality class... (read more)

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• HIGH ENERGY PHYSICS - THEORY
• STATISTICAL MECHANICS