|
|
|
|
References: |
|
|
J. Kapusta and C. Gale |
Finite Temperature
Field Theory |
Cambridge University Press, 2nd Edition
(2006) |
|
M. Le Bellac |
Thermal Field Theory |
Cambridge University Press (2000) |
|
K. Yagi, T. Hatsuda and Y. Miake |
Quark-Gluon Plasma |
Cambridge University Press (2005) |
|
E. Shuryak |
The QCD Vacuum, Hadrons
... |
World Scientific, 2nd Edition (2004) |
|
D.J. Toms |
The Schwinger Action
Principle ... |
Cambridge University Press (2007) |
|
L.H. Ryder |
Quantum Field Theory |
Cambridge university Press (1996) |
|
Course
Syllabus |
|
|
|
Course Syllabus |
|
Contents: |
|
|
|
Part I:
Introduction to QFT at T=0 |
|
|
Path integral representation in QM,
Generating functional for n-pt Green functions |
|
|
Classical Field Theory (Klein-Gordon and
Dirac fields, Conserved Currents) |
|
|
Generating functional for scalar fields; Free
field theory |
|
|
Generating functional for interacting scalar
and free fermions |
|
|
Part II: Functional
integral representation of partition function at finite T |
|
|
Free bosonic fields |
|
|
Free fermionic fields |
|
|
Interacting bosonic fields |
|
|
Full propagator in
λφ4-theory |
|
|
Self energy and summation over Matsubara frequencies |
|
|
Ring diagrams in
λφ4-theory |
|
|
Part III: Renormalization |
|
|
Power counting and renormalizability at T=0 |
|
|
Renormalization group equation and its solution at
T=0
|
|
|
Part IV: Quantum
Electrodynamics at finite T |
|
|
Quantization of photon and Faddaeev-Popov formalism |
|
|
Fixing the gauge (axial gauge) and photon partition
function at finite T |
|
|
General structure of vacuum polarization tensor and
ring diagrams in QED at finite T |
|
|
Part V: Linear Response Theory |
|
|
Goals and Methods: Lehmann representation |
|
|
Electric mass, Plasma screening |
|
|
Modified Coulomb potential in QED plasma |
|
|
Part V: Phase transition at finite
temperature |
