Perturbative og ikke-perturbative aspekter af ikke-abelske gauge teorier som bruges til udvidelse af standardmodellen

In this thesis we present two different studies of non-Abelian gauge theories
applied to Beyond the Standard Model physics. The first is a non-perturbative analysis,
performed with lattice techniques, of an SU(2) gauge theory with fundamental
fermion and scalar fields. The results of this study are relevant in the context of
composite Higgs models based on the recently proposed mechanism of fundamental
partial compositeness. The second study concerns the transport coefficients of gauge
theories featuring large-distance conformality. This study addresses the important
topic of the thermodynamic properties of theories in the conformal window, and
inspects how reliable perturbative results for transport coefficients are for this class
of theories.
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