Komunikaty:

Lectures
Problems
Lista prac do egzaminu

In this one semester course we shall address the problem of formulating an effective
description of strong interactions in terms of physical fields related to mesons and
baryons, rather than in terms of quarks and gluons. Such an approach is known as
effective field theory and is commonly used in different branches of physics. It is
based on a rather intuitive idea that, when we are only interested in a particular
energy or distance range, scales that are much bigger or much smaller than the ones
under consideration, should not play a role in the description of the system in question.

We shall address the following topics:

- construction of effective lagrangians
- chiral symmetry
- currents and current algebra
- partial conservation of axial current (PCAC)
- spontaneous symmetry breaking and Goldstone theorem
- soft pion theorems
- introduction to chiral perturbation theory for mesons
-- condensates
-- lowest order effective lagrangians
-- effective Wess-Zumino-Witten action
- introduction to chiral perturbation theory for baryons
-- baryons symmetry properties
-- lowest order effective baryonic lagrangian
-- Goldberger-Treiman relation


Time permitting:

- effective theory for heavy baryons
-- nonrelativistic reduction
-- lowest-order lagrangian
-- 1/m corrections

Introductory material related to the relativistic Dirac equation, filed quantization,
group theory, etc., dependening on the needs of the audience will be discussed during
the problem classes.

Mail: Michal Praszalowicz