Unitarity violation in noninteger dimensional Gross-Neveu-Yukawa model

Ji, Yao and Kelly, Michael (2018) Unitarity violation in noninteger dimensional Gross-Neveu-Yukawa model. PHYSICAL REVIEW D, 97 (10): 105004. ISSN 2470-0010, 2470-0029

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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].

Item Type: Article
Uncontrolled Keywords: QUANTUM-FIELD-THEORY; 4-FERMION INTERACTION; EVANESCENT OPERATORS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 17 Mar 2020 11:06
Last Modified: 17 Mar 2020 11:06
URI: https://pred.uni-regensburg.de/id/eprint/14592

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