Using approximate renormalization group methods, the authors map phase diagrams of Z3 spin and gauge models and find that only chiral spin models and their duals show an infinite Devil's flower family of inhomogeneous phases, while different RG schemes disagree on the number of phases.
On the consistency of a non-Hermitian Yukawa interaction
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abstract
We study different properties of an anti-Hermitian Yukawa interaction, motivated by a scenario of radiative anomalous generation of masses for the right-handed sterile neutrinos. The model, involving either a pseudo-scalar or a scalar, is consistent both at the classical and quantum levels, and particular attention is given to its properties under improper Lorentz transformations. The path integral is consistently defined with a Euclidean signature, and we discuss the energetics of the model, which show that no dynamical mass generation can occur, unless extra interactions are considered.
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Exotic phases in finite-density $\mathbb{Z}_3$ theories
Using approximate renormalization group methods, the authors map phase diagrams of Z3 spin and gauge models and find that only chiral spin models and their duals show an infinite Devil's flower family of inhomogeneous phases, while different RG schemes disagree on the number of phases.