Grupo de Renormalização
Descrição
Objectives
Introduce the basic notions of quantum field theory, the Feynman integral and the renormalization group, with applications to gauge theory.
Syllabus
Finite Dimensional Integrals: Partition function and correlation functions; Feynman diagrams; Ef-fective action; Berezin integral, supersymmetry and localization. Feynman Integral: Classical and quantum action functional; Definition of Feynman integral; Green functions and propagators; Correlation functions and operator formalism; Wick's theorem. Scalar Field Theory: Perturbative expansion; Cross-sections, Feynman diagrams and Feynman rules; Divergences and regularization; Renormalization and beta-functions. Renormalization Group: Real and momentum space; Fixed points, anomalous dimensions and criti-cal exponents; Renormalization group, effective action, effective potential; Wilson-Polchinski RG equation; Zamolodchikov's c-theorem; Composite operators and OPE's. Renormalization in Gauge Theories: QED and QCD; Ward-Takahashi identities; Euler-Heisenberg Lagrangian; Renormalized perturbation theory; Beta-functions, asymptotic freedom; Renormaliza-ble and non-renormalizable theories.
Cross Competence Component
The UC allows the development of transversal competences on Critical Thinking, Creativity and Problem Solving Strategies, in class, in autonomous work and in the several evaluation components. The percentage of the final grade associated with these competences should be around 15%.
Ethical Principles
The UC allows the development of transversal competences on Critical Thinking, Creativity and Problem Solving Strategies, in class, in autonomous work and in the several evaluation components. The percentage of the final grade associated with these competences should be around 15%.