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 d=4-ϵ with N=3 and N=4 scalars. For N=3, we find that it admits only three nondecomposable critical points: The Wilson-Fisher with O(3) symmetry, the cubic with H3=(Z2)3â ŠS3 symmetry, and the biconical with O(2)×Z2. For N=4, our analysis reveals the existence of new nontrivial solutions with discrete symmetries and with up to three distinct field anomalous dimensions.
Critical models with N≤4 scalars in d=4-ϵ
Zanusso O.
2020-01-01
Abstract
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 d=4-ϵ with N=3 and N=4 scalars. For N=3, we find that it admits only three nondecomposable critical points: The Wilson-Fisher with O(3) symmetry, the cubic with H3=(Z2)3â ŠS3 symmetry, and the biconical with O(2)×Z2. For N=4, our analysis reveals the existence of new nontrivial solutions with discrete symmetries and with up to three distinct field anomalous dimensions.File in questo prodotto:
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