Asymptotic behavior and critical coupling in scalar Yukawa model

Abstract

The solution of the equation for the phion propagator in the leading order of the $1/N$ -- expansion for a vector-matrix model with interaction $g({\varphi }_a{)}^{\ast }{\varphi }_b{\chi }_{ab}$ in four dimensions shows a change of the asymptotic behavior in the deep Euclidean region in a vicinity of a certain critical value of the coupling constant.

4 pages; Talk given at XXXI International workshop on high energy physics "Critical points in the modern particle physics", 5-7 July 2017; misprint corrected

References in corpus (1)

• Asymptotic behavior and critical coupling in the scalar Yukawa model from Schwinger-Dyson equations