Effective field theory and renormalization

 

Introduction to Effective Field Theory and Renormalization:

Effective field theory (EFT) and renormalization are foundational concepts in theoretical physics, particularly in the realm of quantum field theory. They provide a framework for understanding the behavior of particles and fields at different energy scales and have played a critical role in advancing our comprehension of fundamental forces and interactions. Renormalization techniques are essential in EFT to manage and reconcile the divergences that arise in quantum field theories, ensuring that predictions remain meaningful and physically relevant.

Wilsonian Renormalization Group:

Investigate the Wilsonian renormalization group approach, which systematically explores the scale dependence of effective field theories and helps us understand how fundamental parameters evolve with energy scale.

Quantum Chromodynamics (QCD) EFT:

Explore the application of EFT in quantum chromodynamics, focusing on how it enables the study of hadron physics and strong interactions at low energy scales.

Chiral Effective Field Theories:

Delve into chiral effective field theories, which describe the behavior of pions and other hadrons at low energies, offering insights into the symmetries and dynamics of the strong force.

Heavy Quark Effective Theory (HQET):

Examine HQET as an EFT designed to study the behavior of heavy quarks, simplifying the description of heavy quarkonium and B mesons.

Precision Tests of the Standard Model:

Investigate how EFT and renormalization techniques are employed to perform precision tests of the Standard Model of particle physics, probing for signs of new physics beyond the known particle interactions.

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