@article{TEXTUAL,
      recid = {12215},
      author = {Di Pietro, Lorenzo and Stamou, Emmanuel},
      title = {Operator mixing in the ϵ -expansion: Scheme and  evanescent-operator independence},
      journal = {Physical Review D},
      address = {2018-03-12},
      number = {TEXTUAL},
      abstract = {We consider theories with fermionic degrees of freedom  that have a fixed point of Wilson-Fisher type in noninteger  dimension $d = 4 - 2ϵ$. Due to the presence of evanescent  operators, i.e., operators that vanish in integer  dimensions, these theories contain families of infinitely  many operators that can mix with each other under  renormalization. We clarify the dependence of the  corresponding anomalous-dimension matrix on the choice of  renormalization scheme beyond leading order in ϵ-expansion.  In standard choices of scheme, we find that eigenvalues at  the fixed point cannot be extracted from a  finite-dimensional block. We illustrate in examples a  truncation approach to compute the eigenvalues. These are  observable scaling dimensions, and, indeed, we find that  the dependence on the choice of scheme cancels. As an  application, we obtain the IR scaling dimension of  four-fermion operators in QED in $d = 4 - 2ϵ$ at order  $O(ϵ^2)$. },
      url = {http://knowledge.uchicago.edu/record/12215},
}