Introduction to Statistical Quantum Field Theory - lecture notes

0) Introductory remarks and basic notions ( pdf )

1) Classical and quantum scalar field ( pdf )

2) Thermodynamics and ideal gas of bosons ( pdf )

3) Imaginary-time or Matsubara formalism ( pdf )

4) Boson gas ( pdf )

5) Real-time or Keldysh-Schwinger formalism ( pdf )

6) Real-time formalism cont. ( pdf )

7) Equations of motion of Green's functions ( pdf )

8) Quasiparticles of boson gas ( pdf )

9) From QFT to kinetic theory ( pdf )

10) Functional methods in vacuum QFT ( pdf )

11) Functional methods in statistical QFT ( pdf )

12) Renormalization in thermal QFT ( pdf )

13) Resummation in thermal QFT ( pdf )

14) Symmetry breaking and effective potential in vacuum QFT ( pdf )

15) Phase transitions and thermal effective potential ( pdf )

Homework problems ( pdf )

Last modification: 27.12.2022