The solutions to the problems will be discussed in one of the sessions.
The course will take place on Wednesdays at 15:15 in seminar room A4:1069. Starting date is 2006-11-01.
Wed, November 1, 2006
Lecture I: Introduction. Canonical ensembles in statistical physics.
Path integral formulation of quantum mechanics.
Wed, November 8, 2006
Lecture II: Imaginary time formalism of bosonic systems.
Fr, November 10, 2006
Supplement I: Regulariziation and renormalization in QFT.
Wed, November 15, 2006
Lecture III: Real time formalism of bosonic systems.
Wed, November 22, 2006
Lecture IV: Fermionic systems in TFT.
Wed, November 29, 2006
Lecture V: Quantization of gauge fields in QFT and TFT.
Wed, December 6, 2006
Lecture VI: Seminar . Seminar .
Fr, December 15, 2006
Lecture VII: Spontaneous symmetry breaking at finite temperature.
Wed, January 17, 2007
Supplement II: Non-abelian gauge fields.
Wed, January 31, 2007
Lecture VIII: Seminar .
Wed, February 28, 2007
Lecture IX: Seminar .
Quantum Boltzmann equations from the real time formalism.
Wed, March 28, 2007
Discussion of the problem set.
 D. Notzold and G. Raffelt,
``Neutrino Dispersion at Finite Temperature and Density,''
Nucl. Phys. B 307, (1988) 924.
 H. A. Weldon,
``Dynamical Holes in the Quark - Gluon Plasma,''
Phys. Rev. D 40 (1989) 2410.
 S. R. Coleman,
``The Fate Of The False Vacuum. 1. Semiclassical Theory,''
Phys. Rev. D 15 (1977) 2929.
 A. D. Linde,
``Fate Of The False Vacuum At Finite Temperature: Theory And Applications,''
Phys. Lett. B 100 (1981) 37.
 A. D. Linde,
``A New Inflationary Universe Scenario: A Possible Solution Of The Horizon,
Flatness, Homogeneity, Isotropy And Primordial Monopole Problems,''
Phys. Lett. B 108 (1982) 389.
 G. W. Anderson and L. J. Hall,
``The Electroweak Phase Transition And Baryogenesis,''
Phys. Rev. D 45 (1992) 2685.
 L. Dolan and R. Jackiw,
``Symmetry Behavior At Finite Temperature,''
Phys. Rev. D 9, 3320 (1974).
 G.F. Giudice, A. Notari, M. Raidal, A. Riotto, A. Strumia,
``Towards a complete theory of thermal leptogenesis in the SM and MSSM,''
Nucl. Phys.B 685:89-149 (2004).
Brief content of the course
The course will provide basic understanding and some applications of
relativistic thermal quantum field theory.
Statistical methods are nowadays widely used in condensed matter
physics, plasma physics, collider physics (hadron colliders), and
cosmology. This course will focus on the basic concepts of relativistic
statistical systems and their applications to cosmology.
The course starts with a brief review of statistical physics and
quantum field theory (QFT). Even though basic knowledge in both fields
is required, a significant part of the lectures is used to solidify
fundamental aspects of QFT that appear in statistical systems in similar
fashion as in vacuum. In addition, some concepts that are usually not
covered in a first course of QFT are discussed and applied to thermal
systems, e.g. fermionic path integrals, Goldstone's theorem, and
The second part of the course addresses more recent developments in
thermal field theory as e.g. resummation techniques, dynamical
screening, and hard thermal loops.
In the third part, applications to cosmology are discussed. This could
include some topics of the following list: Spontaneous symmetry
breaking and restoration, phase transitions and inflation, transport
equations and baryogenesis.
The course is mainly intended to graduate students with interest in
theoretical physics and cosmology. Basic knowledge in statistical
mechanics and quantum field theory are prerequesites.
M. Le Bellac, Thermal field theory , Cambridge University Press, 1996
J. I. Kapusta, Finite-temperature field theory , Cambridge University Press, 1989
This is a preliminary list of the content of the specific lectures:
Introduction. General concepts of statistical physics and quantum field theory.
Quantization of the bosonic field at finite temperature;
Matsubara frequencies; Feynman rules at finite temperature
Quantization of the fermionic field at finite temperature;
fermionic path integrals and coherent state formalism
Quantization of the gauge fields at finite temperature;
ghosts and blackbody radiation; static screening
Renormalization and infrared problems
Collective excitations in a plasma
Equivalence of real-time and imaginary-time formalism
Linear response theory
Resummation and effective actions; Daisy diagrams
Hard thermal loop expansion
Spontaneous symmetry breaking and restoration
Phase transitions and inflation
Transport equations and baryogenesis;
Kadanoff-Baym equations in Wigner space
The grading (P (pass) and F (fail)) will be based on hand in assignments.
Senast uppdaterad: 2008-11-28