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- W2146297005 abstract "To explore the possibility of self-organized criticality, we look for CFTs without any relevant scalar deformations (a.k.a. dead-end CFTs) within power-counting renormalizable quantum field theories with a weakly coupled Lagrangian description. In three dimensions, the only candidates are pure (Abelian) gauge theories, which may be further deformed by Chern-Simons terms. In four dimensions, we show that there are infinitely many non-trivial candidates based on chiral gauge theories. Using the three-loop beta functions, we compute the gap of scaling dimensions above the marginal value, and it can be as small as $$ mathcal{O}left(1{0}^{-5}right) $$ and robust against the perturbative corrections. These classes of candidates are very weakly coupled and our perturbative conclusion seems difficult to refute. Thus, the hypothesis that non-trivial dead-end CFTs do not exist is likely to be false in four dimensions." @default.
- W2146297005 created "2016-06-24" @default.
- W2146297005 creator A5044163982 @default.
- W2146297005 date "2015-05-01" @default.
- W2146297005 modified "2023-09-25" @default.
- W2146297005 title "Perturbative search for dead-end CFTs" @default.
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- W2146297005 doi "https://doi.org/10.1007/jhep05(2015)046" @default.
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