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1. Leading order CFT analysis of multi-scalar theories in d>2 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d>2$$\end{document} / Codello, A. ; Safari, M. ; Vacca, G. P. ; Zanusso, O.
We investigate multi-field multicritical scalar theories using CFT constraints on two- and three-point functions combined with the Schwinger–Dyson equation. [...]
Published in EPJC 79 (2019) 331 10.1140/epjc/s10052-019-6817-1
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2. Uncovering novel phase structures in □k scalar theories with the renormalization group / Safari, M. ; Vacca, G. P.
We present a detailed version of our recent work on the RG approach to multicritical scalar theories with higher derivative kinetic term ϕ(-□)kϕ and upper critical dimension dc=2nk/(n-1) . [...]
Published in EPJC 78 (2018) 251 10.1140/epjc/s10052-018-5721-4
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3. Multicritical scalar theories with higher-derivative kinetic terms: A perturbative RG approach with the ε-expansion / Safari, M. ; Vacca, G. P.
We employ perturbative renormalization group and ε-expansion to study multicritical single-scalar field theories with higher derivative kinetic terms of the form ϕ()kϕ. [...]
Published in Phys. Rev. D 97 (2018) 10.1103/PhysRevD.97.041701 arXiv:1708.09795
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4. Functional perturbative RG and CFT data in the ϵ -expansion / Codello, A. ; Safari, M. ; Vacca, G. P. ; Zanusso, O.
We show how the use of standard perturbative RG in dimensional regularization allows for a renormalization group-based computation of both the spectrum and a family of coefficients of the operator product expansion (OPE) for a given universality class. [...]
Published in EPJC 78 (2018) 30 10.1140/epjc/s10052-017-5505-2
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5. Leading CFT constraints on multi-critical models in d > 2 / Codello, Alessandro ; Safari, Mahmoud ; Vacca, Gian ; Zanusso, Omar
We consider the family of renormalizable scalar QFTs with self-interacting potentials of highest monomial ϕ m below their upper critical dimensions d c = 2 m m − 2 $$ {d}_c=\frac{2m}{m-2} $$ , and study them using a combination of CFT constraints, Schwinger-Dyson equation and the free theory behavior at the upper critical dimension. [...]
Published in JHEP 1704 (2017) 127 10.1007/JHEP04(2017)127 arXiv:1703.04830
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6. Covariant and background independent functional RG flow for the effective average action / Safari, Mahmoud ; Vacca, Gian
We extend our prescription for the construction of a covariant and background-independent effective action for scalar quantum field theories to the case where momentum modes below a certain scale are suppressed by the presence of an infrared regulator. [...]
Published in JHEP 1611 (2016) 139 10.1007/JHEP11(2016)139 arXiv:1607.07074
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7. Splitting Ward identity / Safari, Mahmoud
Within the background-field framework we present a path integral derivation of the splitting Ward identity for the one-particle irreducible effective action in the presence of an infrared regulator, and make connection with earlier works on the subject. [...]
Published in EPJC 76 (2016) 201 10.1140/epjc/s10052-016-4036-6
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