Abstract
We considered the two-dimensional theoretical field model of interaction of scalar and fermion fields with the Higgs potential. Contribution of instanton effects to total fermion propagator is calculated. Mass correction to the propagator in the presence of an instanton field is determined. The obtained results can be interpreted as confinement.
Highlights
We considered the two-dimensional theoretical field model of interaction of scalar and fermion fields with the Higgs potential
In the calculations we selected the following model parameters: value field in vacuum ρ = 1; Yukawa interaction constant g = 10–5; fermion mass M = 1 GeV; mass of scalar particle m = 5 GeV; constant τ0 = 1 · 10–5: a – curve characterized by the value τ = 1.3 · 10–2; b – curve characterized by the value τ = 1,4 · 10–2
Analytic instanton solutions in two-dimensional field models / R
Summary
We considered the two-dimensional theoretical field model of interaction of scalar and fermion fields with the Higgs potential. Нетривиальные евклидовы решения уравнений калибровочного поля – инстантоны [2; 3] могут быть ответственны за явление конфайнмента (см., напр., [4]). В [6] была показана возможность увеличения массы кварка в пропагаторе за счет вклада инстантонного поля, что может быть интерпретировано как конфайнмент. В настоящей работе продолжены аналогичные исследования в рамках простой модели: теории юкававского скалярного поля, взаимодействующего с дираковским фермионным полем.
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