Seeking fixed points in multiple coupling scalar theories in the ε expansion

@article{Osborn2018SeekingFP,
title={Seeking fixed points in multiple coupling scalar theories in the ε expansion},
author={H. Osborn and A. Stergiou},
journal={Journal of High Energy Physics},
year={2018},
volume={2018},
pages={1-67}
}

A bstractFixed points for scalar theories in 4 − ε, 6 − ε and 3 − ε dimensions are discussed. It is shown how a large range of known fixed points for the four dimensional case can be obtained by using a general framework with two couplings. The original maximal symmetry, O(N), is broken to various subgroups, both discrete and continuous. A similar discussion is applied to the six dimensional case. Perturbative applications of the a-theorem are used to help classify potential fixed points. At… CONTINUE READING