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Unitarity violation in noninteger dimensional Gross-Neveu-Yukawa model

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Ji, Yao ; Kelly, Michael
Date of publication of this fulltext: 04 May 2018 17:32


We construct an explicit example of unitarity violation in fermionic quantum field theories in noninteger dimensions. We study the two-point correlation function of four-fermion operators. We compute the one-loop anomalous dimensions of these operators in the Gross-Neveu-Yukawa model. We find that at one-loop order, the four-fermion operators split into three classes with one class having negative norms. This implies that the theory violates unitarity, following the definition in Ref. [1].

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