Download Theory of Fundamental Interactions

Theory of Fundamental Interactions
9th and 10th semesters
This is a two-semester course for the fifth-year physics students. The course consists of two parts:
the first one (the Standard Model) is studied in the autumn semester; it is an introduction to the modern
theory of the unified electromagnetic and weak interaction. The second part (quantum chromodynamics)
is studied in the spring semester; it is an introduction to the modern theory of strong interaction between
quarks and its application to the physics of hadrons.
Prerequisites: elementary particle theory; quark model of hadrons; quantum chromodynamics
basics; disturbance theory; Feynmann diagram techniques.
Course contents
Part 1 (9th semester). Standard Model
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Lecture 1. Weak interactions. V–A form; parity violation. Experimental manifestations of parity
violation.
Lecture 2. Analogy between electromagnetic and weak interactions. Estimation of the weak
interaction carrier mass if gweak=e.
Lectures 3 and 4. Cabibbo mixing angle. Necessity of introducing the idea of generations.
Lectures 5 and 6. Kobayashi – Maskawa mixing matrix for three generations. Possibility of
complex elements. CP-parity violation.
Lectures 6 and 7. Neutral weak currents. Their type and interaction character.
Lectures 8 and 9. Unification of electromagnetic and weak interactions on the basis of the SU(2)L
хU(1)Y group. Weinberg angle. W and Z-boson mass.
Lectures 10 and 11. Spontaneous violation of gauge symmetry; Higgs mechanism.
Lecture 12 – 13. Salam – Weinberg model. Choice of the Higgs fields. W and Z-boson mass;
their interaction with the Higgs field.
Lecture 14. Salam – Weinberg model. Fermion masses and their interaction with the Higgs field.
Part 2 (10th semester). Introduction to Quantum Chromodynamics (QCD)
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Lecture 1. QCD's three sources: quarks, colour, and partons.
Lecture 2. Brief introduction to the SU(N) group theory and its representations.
Lecture 3. Gauge symmetry and chromodynamics.
Lectures 4 and 5. Quantization and Feynmann diagrams.
Lecture 6. Divergences and renormalization.
Lecture 7. Renormgroup and asymptotic freedom.
Lecture 8. Hard processes; quark – hadron duality and factorization.
Lectures 9 and 10. Deeply inelastic scattering. Distribution functions and evolution equations.
Lecture 11. Factorization and other hard processes.
Lecture 12. Corrections role and QCD sum rules.
Lecture 13. QCD experimental status.
Lecture 14. Great Unification. Estimation of the unification energy and proton lifetime.
Supersymmetric extension of the Standard Model.