SUMMARY
Renormalizability in theoretical physics indicates that a theory can be defined with only finite expressions or that infinities can be absorbed by redefining a finite number of quantities. A theory is deemed non-renormalizable if it requires infinitely many quantities to manage these infinities. The term is often misinterpreted as "perturbatively renormalizable," which can lead to misleading conclusions, as non-renormalizable behavior may arise from an unjustified perturbation expansion and could be resolved through non-perturbative methods.
PREREQUISITES
- Understanding of quantum field theory concepts
- Familiarity with perturbation theory
- Knowledge of scaling dimensions in physics
- Basic grasp of infinities in mathematical expressions
NEXT STEPS
- Research the implications of non-perturbative methods in quantum field theory
- Study the role of scaling dimensions in renormalization
- Explore examples of renormalizable and non-renormalizable theories
- Learn about the renormalization group and its applications
USEFUL FOR
Theoretical physicists, graduate students in physics, and researchers interested in quantum field theory and the mathematical foundations of particle physics.