Eur. Phys. J. C (2018) 78: 872
https://doi.org/10.1140/epjc/s10052-018-6343-6

Regular Article - Theoretical Physics

Schwinger–Dyson equation boundary conditions induced by ETC radiative corrections

¹ Universidade Tecnológica Federal do Paraná-UTFPR-DAFIS, Av. Monteiro Lobato Km 04, Ponta Grossa, PR, 84016-210, Brazil
² Instituto de Física Teórica, UNESP, Rua Dr. Bento T. Ferraz, 271, Bloco II, São Paulo, SP, 01140-070, Brazil

^* e-mail: agomes@utfpr.edu.br

Received: 22 August 2018
Accepted: 14 October 2018
Published online: 28 October 2018

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.