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Unitarity violation in noninteger dimensional Gross-Neveu-Yukawa model

Ji, Yao ; Kelly, Michael



Abstract

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 oneloop 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 violares unitarity, following the definition in Ref. [1].


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