Speaker
Description
Dynamical phenomena in purely chiral fermionic theories remain an open challenge across a wide range of fields, from condensed matter to high-energy physics. In this talk, I will discuss how dynamical symmetry breaking can be studied in a class of chiral gauge theories that includes the Georgi–Glashow model originally proposed in the context of grand unification. This family of theories is inaccessible to standard lattice simulations, and their dynamics therefore remain largely unexplored. Using the effective action formalism and the non-perturbative functional renormalization group, we derive the flows of four-fermion interactions, which encode resonant structures and provide information on condensate emergence and bound-state formation. Extending the setup to multiple generations, we connect to the loss of asymptotic freedom and explore the boundary of a conjectured conformal window. Our results indicate that, while most of theory space favors a dominant color-breaking condensate, there exists a strongly coupled regime in which the leading condensating channels fail and more intricate dynamics emerge. Finally, I will outline the first steps towards the deep infrared limit using scale-dependent field redefinitions and incorporating color confinement as well as studying the related phenomenon of symmetric mass generation. This talk is based on [arXiv:2507.21208] and [arXiv:2412.12254].