SUMMARY
Only non-Abelian gauge theories can be asymptotically free, and it is established that these symmetries can be dynamically broken while retaining asymptotic freedom. Canonical references include original papers by Gross and Wilczek, which provide foundational insights into this phenomenon. The discussion highlights the challenge of integrating the Higgs mechanism with asymptotic freedom, indicating a gap in existing literature regarding explicit demonstrations of this combination.
PREREQUISITES
- Understanding of non-Abelian gauge theories
- Familiarity with asymptotic freedom in quantum field theory
- Knowledge of the Higgs mechanism
- Ability to interpret academic papers in theoretical physics
NEXT STEPS
- Research the original papers by Gross and Wilczek on asymptotic freedom
- Study the Higgs mechanism in the context of gauge theories
- Examine literature on dynamically broken symmetries in quantum field theory
- Explore advanced topics in quantum chromodynamics (QCD) related to asymptotic behavior
USEFUL FOR
Theoretical physicists, graduate students in particle physics, and researchers focusing on gauge theories and their implications in quantum field theory.