We renormalize the six-dimensional cubic theory with an O (N )×O (m ) symmetry at three loops in the modified minimal subtraction (MS ¯ ) scheme. The theory lies in the same universality class as the four-dimensional Landau-Ginzburg-Wilson model. As a check we show that the critical exponents derived from the three-loop renormalization group functions at the Wilson-Fisher fixed point are in agreement with the large N d -dimensional critical exponents of the underlying universal theory. Having established this connection we analyze the fixed point structure of the perturbative renormalization group functions to estimate the location of the conformal window of the O (N )×O (2 ) model.
Physical Review D
- Pub Date:
- January 2017
- High Energy Physics - Theory;
- Condensed Matter - Statistical Mechanics
- 36 latex pages, 2 tables, anc directory contains txt file with electronic version of renormalization group functions