Syllabus
2. Functional methods in quantum field theory quantum field theory in Schroedinger representation, properties of gaussian functional measures, functional integral as a path integral in the field configuration space, generating functional of the free scalar field, quantum field theory on the lattice, Schroedinger representation for fermions and fermionic functional integral, functional integral in perturbative quantum field theory, 3. Ward identities and anomaly
Dyson-Schwinger equations, Ward identities, example of anomaly in 0+1 dimension, ABJ anomaly and Fujikawa method
Annotation
The functional methods in quantum field theory. The continual integral.
The ward identities and anomalies. The quantization of nonabelian gauge fields.