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arXiv · 1802.03222

Unitarity violation in non-integer dimensional Gross-Neveu-Yukawa model

Yao Ji·Michael Kelly
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Abstract

We construct an explicit example of unitarity violation in fermionic quantum field theories in non-integer 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 arXiv:1512.00013 [hep-th].

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Yao Ji, Michael Kelly. 2018-02-09. Unitarity violation in non-integer dimensional Gross-Neveu-Yukawa model. https://doi.org/10.1103/physrevd.97.105004

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