Schwinger-Dyson equation boundary conditions induced by ETC radiative corrections

TL;DR

This paper investigates how radiative corrections from extended technicolor interactions modify the boundary conditions of coupled Schwinger-Dyson equations in technicolor theories, revealing a logarithmic ultraviolet behavior of self-energies.

Contribution

It analyzes the impact of ETC-induced radiative corrections on the boundary conditions of coupled SDEs in technicolor models, highlighting the resulting logarithmic ultraviolet behavior.

Findings

Boundary conditions of coupled SDEs are modified by ETC corrections.

Self-energies decrease logarithmically at high momentum.

Radiative corrections couple different Dyson equations.

Abstract

The technicolor (TC) Schwinger-Dyson equations (SDE) should include radiative corrections induced by extended technicolor (ETC) interactions when TC is embedded into a larger theory including also QCD. These radiative corrections couple the different strongly interacting Dyson equations. We discuss how the boundary conditions of the coupled SDE system are modified by these corrections, and verify that the ultraviolet behavior of the self-energies are described by a function that decreases logarithmically with momentum.