Nontriviality of the Linear Sigma Model

Abstract

We consider techniques (based on an ultraviolet cutoff) used to prove that the pure boson (${\varphi }^4{)}_4$ field theory is trivial and apply them instead to the dynamically generated quark-level linear sigma model. This cutoff approach leads to the conclusion that the latter field theory is in fact nontrivial.

Comments: To be published in Eur. Phys. J. C