Lecture 1: QCD and Symmetries
Mo 10:00-11:00 11:30-12:30
Resources: Notes on asymptotic freedom
Lecture 2: QCD at high Temperature
Tu 10:00-11:00 11:30-12:30
Seminar 1: Dimity Kobyakov, Collective Modes in the Inner Crust of Neutron Stars
Tu 14:30-15:00
Lecture 3: QCD at high Temperature: Experiment
We 10:00-11:00 11:30-12:30
Discussion Session
We 14:00-15:00
Lecture 4: QCD at finite density
Th 10:00-11:00 11:30-12:30
Seminar 2:
Th 14:00-15:00
Lecture 5: Non-equilibrium QCD
Fr 10:00-11:00 11:30-12:30
Discusion Session
Fr 14:00-15:00
Other resources:
1) A set of lecture notes on the phase structure of QCD.
2) Lecture notes on many body physics.
3) A recent review on non-equilibrium physics.
About confinement and chiral symmetry breaking:
Not much is known in terms of rigorous or systematic approaches
to these phenomena in QCD. Here are some suggested activities
and resources.
1) Write a pure gauge lattice QCD code (for simplicity, consider SU(2))
and measure the heavy quark potential using Wilson loops. See the
nice old book by Creutz, or the more recent book by Gattringer. This
is not supercomputing, your laptop will do the trick!
2) The simplest analytically tractable theory that exhibits confinement
in a non-trivial way is the Polyakov model, see the nice discussion
in Shifman's book.
3) My own most recent attempt is described in this talk.
4) A microscopic picture of chiral symmetry breaking is provided
by the instanton model, see Sect IV.E. of this review (approximately
self-contained).
Simple exercises in many-body physics:
1) Solve the 2-body Schroedinger equation for a contact interaction using
diagrammatic methods (see Sect.1 of the many-body review cited above).
2) For a dilute, weakly interacting Fermi gas compute the O((k_Fa)^0) and
O((k_Fa)) contributions to the energy per particle.
3) Use the Hubbard-Stratonovich trick to rewrite the four-fermion contact
interaction as a 2-fermion-difermion coupling.
4) Follow the steps described in the many-body lectures to compute the
BCS gap in the weak coupling limit (|k_Fa}<1).