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

P. R. S. Carvalho, M. I. Sena-Junior
2019 International Journal of Modern Physics D  
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) λϕ^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
more » ... 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.
doi:10.1142/s0218271819500500 fatcat:veho5lk445fcfilt6q5rwa3yha