%0 Journal Article
%T More about vacuum structure of Linear Sigma Model
%A Tomomi Sato
%A Norikazu Yamada
%J Physics
%D 2013
%I arXiv
%X In the study of critical phenomena of QCD, a linear sigma model (LSM) is often analyzed as it shares many properties with QCD. Motivated by recent arguments on effective restoration of the U_A(1) symmetry around the critical temperature, the renormalization group flow of U(2)$\otimes$U(2) LSM with a small violation of the U_A(1) symmetry is examined in the traditional epsilon expansion in threedimensions. With a mass-dependent renormalization scheme, we investigate the attractive basin flowing into the O(4) LSM in the parameter space and its dependence on the size of the U_A(1) breaking. Special emphasis is put on how the decoupling of the heavier degrees of freedom occur as approaching the O(4) LSM.
%U http://arxiv.org/abs/1311.4621v2