Institute for Theoretical Physics ⇒ Group Home ⇒ Teaching ⇒ Quantum Field Theory II ⇒ Exercises

Advanced Quantum Field Theory (QFT II)

	Tutorial 1 : Gaussian integrals Exercise 1: Asymptotic series & generating functions

	Tutorial 2 : Partition Function at finite temperature Exercise 2: Feynman rules

	Tutorial 3 : Grassman algebra Exercise 3: Effective Potential & Grassman variables
	Tutorial 4 : Legendre transform & Gaussian theory Exercise 4: Effective action & Yukawa theory
	Tutorial 5 : Loop expansion in hbar Exercise 5: Exact two-point function & two-point function in the Yukawa theory
	Tutorial 6 : Faddeev-Popov trick Exercise 6: Representations of Lie algebras
	Tutorial 7 : Bianchi identity Exercise 7: BRST symmetry
	Tutorial 8 : BRST-transformation of the anti-ghost Exercise 8: BRST symmetry & the effective action
	Tutorial 9 : Casimir operator Exercise 9: Gauge boson self-energy
	Tutorial 10 : Casimir operator II Exercise 10: Gauge boson self-energy & fermion self-energy
	Tutorial 11 : Casimir operator III Exercise 11: Discrete Derivatives of the Scalar Field on the Lattice
	Tutorial 12 : Gauge group integrations Exercise 12 : Strong coupling expansion in lattice QCD
	Tutorial 13 : Wilson-Fisher fixed point Exercise 13 : Banks-Zaks fixed point & asymptotic freedom in quantum gravity