Abstract
We study properties of asymptotically free vectorial gauge theories with gauge groups and and fermions in a representation of , at an infrared (IR) zero of the beta function, , in the non-Abelian Coulomb phase. The fundamental, adjoint, and rank-2 symmetric and antisymmetric tensor fermion representations are considered. We present scheme-independent calculations of the anomalous dimensions of (gauge-invariant) fermion bilinear operators to and of the derivative of the beta function at , denoted , to , where is an -dependent expansion variable. It is shown that all coefficients in the expansion of that we calculate are positive for all representations considered, so that to , increases monotonically with decreasing in the non-Abelian Coulomb phase. Using this property, we give a new estimate of the lower end of this phase for some specific realizations of these theories.
- Received 15 September 2017
DOI:https://doi.org/10.1103/PhysRevD.96.105015
© 2017 American Physical Society