Ji, Yao and Manashov, Alexander N. (2018) Operator mixing in fermionic CFTs in noninteger dimensions. PHYSICAL REVIEW D, 98 (10): 105001. ISSN 2470-0010, 2470-0029
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We consider the renormalization of four-fermion operators in the critical QED and SU(N-c) thorn version of the Gross-Neveu-Yukawa model in noninteger dimensions. Since the number of mixing operators is infinite, the diagonalization of an anomalous dimension matrix becomes a nontrivial problem. At leading order, the construction of eigenoperators is equivalent to solving certain three-term recurrence relations. We find analytic solutions of these recurrence relations that allow us to determine the spectrum of anomalous dimensions and study their properties.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | 4-FERMION INTERACTION; EVANESCENT OPERATORS; CRITICAL-BEHAVIOR; PHI(4) MODEL; REGULARIZATION; QCD; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Vladimir Braun |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 10 Oct 2019 10:01 |
| Last Modified: | 10 Oct 2019 10:01 |
| URI: | https://pred.uni-regensburg.de/id/eprint/13636 |
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