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Using the nonrenormalization theorem and Pohlmeyer's theorem, it is proven that there cannot be an asymptotic safety scenario for the Wess-Zumino model unless there exists a non-trivial fixed point with (i) a negative anomalous dimension (ii) a relevant direction belonging to the Kaehler potential.
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1969
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K. G. Wilson and J. Kogut, “The Renormalization group and the epsilon expansion,” Phys. Rept
1974
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S. Ferrara, J. Wess, and B. Zumino, “Supergauge Multiplets and the Gell-Mann–Low Eigenvalue,” Nucl. Phys
1974
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CUP, 1979
S. Weinberg, “Ultraviolet Divergences in Quantum Theories of Gravitation,” in General Relativity · 1979
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C. R. Nappi, “On O ( N ) (N) Symmetric Wess-Zumino Type Models,” Phys. Rev
1983
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D. V. Shirkov, “The Renormalization Group Method and Functional Self-Similarity in Physics,” Theor. Math. Phys
1984
Cited alongside, same era.
Cited in the paper.
N. Seiberg, “Naturalness versus supersymmetric nonrenormalization theorems,” Phys. Lett
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T. R. Morris, “Elements of the continuous renormalization group,” Prog. Theor. Phys
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K. Higashijima and E. Itou, “Unitarity bound of the wave function renormalization constant,” Prog. Theor. Phys
2003
Later among the works it cites.
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