Path Integral and Functional Methods in Quantum Field Theory

• Time Evolution as Canonical Transformation Time slicing and Path Integral- I,II&III lV Expectation Values

• Interaction with external field -I,II&III functional formalism for relativistic fields -I&II

Functional Method - free fields, Connected diagrams, effective potential- I,II&III

Functional Method – interactions - I&II The S-matrix and cluster decomposition - I,II&III

• The asymptotic condition - I,II 
• Kallen-Lehmann representation - I&II, 
• Effective action - Connected diagrams- I

• Effective action - Connected diagrams
• Effective action - diagrammatics -l&ll
• Irreducible certices cluster decomposition

• S-matrix – causal fields -I,IIandIII
• Course summary and revision I&II