Abstract
We examine the influence of exact Lorentz-violating symmetry mechanism on the radiative quantum corrections to the critical exponents for massless [Formula: see text]-deformed O([Formula: see text]) [Formula: see text] scalar field theories. For that, we employ three different and independent field-theoretic renormalization group methods for computing analytically the [Formula: see text]-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 [Formula: see text]-deformed critical exponents, obtained through the three methods, turn out to be identical and furthermore the same as their Lorentz-invariant [Formula: see text]-deformed ones. We argue that this result is in accordance with the universality hypothesis.
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