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On operator mixing in fermionic CFTs in non-integer dimensions
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abstract
We consider renormalization of four-fermion operators in the critical QED and $SU(N_c)$ version of Gross--Neveu--Yukawa model in non-integer dimensions. Since the number of mixing operators is infinite, the diagonalization of an anomalous dimension matrix becomes a nontrivial problem. At leading order, construction of eigen-operators is equivalent to solving certain three-term recurrence relations. We find analytic solutions of these recurrence relations that allows to determine the spectrum of anomalous dimensions and study their properties.
Forward citations
Cited by 2 Pith papers
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Disturbing news about the $d=2+\epsilon$ expansion
A protected operator forces the O(N) nonlinear sigma model fixed point in 2+epsilon dimensions to be a different CFT family from the Wilson-Fisher O(N) fixed point for finite N.
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Correction exponents in the chiral Heisenberg model at $1/N^2$: singular contributions and operator mixing
Correction exponents at 1/N^{2} in the chiral Heisenberg model agree with 4−ε results but one pole at d=3 is resummed via four-fermion mixing, modifying leading-order 3D exponents consistently with direct calculation.
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