44 citations · 377 across the 19 of their papers we have counts for
15 papers · 1 filter
Scale and Conformal Invariance in Higher Derivative Shift Symmetric Theories
Mahmoud Safari, Andreas Stergiou, Gian Paolo Vacca +1
The critical behavior of infinite families of shift symmetric interacting theories with higher derivative kinetic terms (non unitary) is considered. Single scalar theories with shi…
On critical models with scalars in
Alessandro Codello, Mahmoud Safari, Gian Paolo Vacca +1
We adopt a combination of analytical and numerical methods to study the renormalization group flow of the most general field theory with quartic interaction in with a…
Symmetry and universality of multi-field interactions in dimensions
Alessandro Codello, Mahmoud Safari, Gian Paolo Vacca +1
We outline a general strategy developed for the analysis of critical models, which we apply to obtain a heuristic classification of all universality classes with up to three field-…
Multi-critical multi-field models: a CFT approach to the leading order
A. Codello, M. Safari, G. P. Vacca +1
We present some general results for the multi-critical multi-field models in d>2 recently obtained using CFT and Schwinger-Dyson methods at perturbative level without assuming any…
Leading order CFT analysis of multi-scalar theories in d>2
Alessandro Codello, Mahmoud Safari, Gian Paolo Vacca +1
We investigate multi-field multicritical scalar theories using CFT constraints on two- and three-point functions combined with the Schwinger-Dyson equation. This is done in general…
Uncovering novel phase structures in scalar theories with the renormalization group
Mahmoud Safari, Gian Paolo Vacca
We present a detailed version of our recent work on the renormalization group approach to multicritical scalar theories with higher derivative kinetic term of the form $ϕ(-\Box)^kϕ…
Multi-critical scalar theories: A perturbative RG approach with -expansion
Mahmoud Safari, Gian Paolo Vacca
We employ perturbative RG and -expansion to study multi-critical single-scalar field theories with higher derivative kinetic terms of the form . We focus on those w…
New universality class in three dimensions: The critical Blume-Capel model
Alessandro Codello, Mahmoud Safari, Gian Paolo Vacca +1
We study the Blume-Capel universality class in dimensions. The RG flow is extracted by looking at poles in fractional dimension of three loop diagrams using $\ov…
Functional perturbative RG and CFT data in the -expansion
Alessandro Codello, Mahmoud Safari, Gian Paolo Vacca +1
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…
Leading CFT constraints on multi-critical models in d>2
Alessandro Codello, Mahmoud Safari, Gian Paolo Vacca +1
We consider the family of renormalizable scalar QFTs with self-interacting potentials of highest monomial below their upper critical dimensions , and st…
Covariant and background independent functional RG flow for the effective average action
Mahmoud Safari, Gian Paolo Vacca
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…
Covariant and single-field effective action with the background-field formalism
Mahmoud Safari, Gian Paolo Vacca
In the context of scalar quantum field theory we introduce a class of generically nonlinear quantum-background splits for which the splitting Ward identity, encoding the single fie…
Splitting Ward identity
Mahmoud Safari
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 i…
One-loop functional RG flow of scalar theory with electroweak symmetry
Mahmoud Safari
Using functional renormalization methods, we study the one-loop renormalization group evolution of theories with four scalars, at second order in the derivative expansion, in which…
Functional renormalization of N scalars with O(N) invariance
R. Percacci, M. Safari
We discuss general theories of N scalar fields with O(N) symmetry. In addition to the standard case of linearly realized symmetry there are also examples that carry nonlinear reali…