Exact Lorentz-violating q-deformed O(N) universality class.

We examine the influence of exact Lorentz-violating symmetry mechanism on the radiative quantum corrections to the critical exponents for massless q -deformed O(N) λ ϕ 4 scalar field theories. For that, we employ three different and independent field-theoretic renormalization group methods for computing analytically the q -deformed critical exponents up to next-to-leading order. Then, we generalize the former finite loop level results for any loop order. We show that the Lorentz-violating q -deformed critical exponents, obtained through the three methods, turn out to be identical and furthermore the same as their Lorentz-invariant q -deformed ones. We argue that this result is in accordance with the universality hypothesis. [ABSTRACT FROM AUTHOR]