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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 (PRD) 2018 (97), p. 105004.

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Date of publication of this fulltext: 04 May 2018 17:32

Other URL: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.97.105004


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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Item type:Article
Date:3 May 2018
Additional Information (public):SCOAP3
Institutions:Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Vladimir Braun
Dewey Decimal Classification:500 Science > 530 Physics
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:37277
Owner only: item control page


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