Unitarity violation in noninteger dimensional Gross-Neveu-Yukawa model

Yao Ji, Michael Kelly
2018 Physical Review D  
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
more » ... n in arXiv:1512.00013 [hep-th].
doi:10.1103/physrevd.97.105004 fatcat:dorwbatqjvbq5fphbionjo3lje