|
Elementary
Particle Physics |
Fall 2009 |
The students should bring this booklet to all the lectures.
Chapter 1 ``Overview of particle physics'': Elementary fermions and interactions; Antiparticles; Baryons and mesons; Colour and confinement; Weak interactions; Feynman diagrams; More generations: flavours. (Chapter 1 Halzen and Martin, Chapter 0-1 Griffiths, Chapter 1 Perkins)
Chapter 2 ``Symmetries in Particle Physics'': Symmetry groups and conservations laws; Space-time symmetries: Translations and energy-momentum conservation, and rotations and angular momentum conservation; Spin angular momentum and representations of SU(2); Finite symmetries: C,P,T and CPT; Internal symmetries: SU(2) isospin flavour and SU(3) flavour. (Chapter 2 Halzen and Martin (2-1 to 2-11), Chapter 4 Griffiths)
Chapter 3 ``Relativistic Wave Equations'': Schrodinger equation and its probabilistic interpretation; Klein-Gordon equation and its problems; Dirac Equation: Derivation, Solutions, Relativist Properties and Bilinear Covariants; Electromagnetic wave equations: photons; Coupling of fermions to electromagnetism: non-relativistic limit. (Halzen and Martin (3-3 to 3-5, 5, and 6.9), Griffiths(7.1 to 7.4)
Chapter 4 ``QED I: Feynman amplitudes and Feynman diagrams'': Non-relativistic perturbation theory; Interaction of electron with electromagnetic field; e- mu- --> e- mu- scattering amplitude; Feymman rules for QED; Lagrangian density formalism: Gauge invariance of QED lagrangian and massless gauge bosons; Higher order: Renomalization. (Halzen and Martin (3.6, 6.1, 6.4, 6.17, 4.8, 6.10 and 14.1-14.3. , brief summary of chapter 7, check also chapter 4) , Griffiths(7.5 and 7.9)
Chapter 5 ``QED II: QED processes in lowest order'': Definition of scattering cross section; cross section in terms of Feynman amplitude; cross section for e- mu- --> e- mu- : techniques, trace theorems, Mandelstam variables, data; helicity conservation at high energies; cross section for e-e- --> e- e- (Moller scattering) and crossed processes; e- gamma --> e- gamma (Compton scattering); e+ e- --> gamma gamma (pair annihilation, homework); e- mu- --> e- mu- in Lab frame. (Halzen and Martin 4.3, Chapter 6,Griffiths 6.1, 6.2, 7.6,7.7))
Chapter 6 ``QED and the structure of hadrons'': Concept of form factors; e-p -->e-p elastic scattering: proton form factors; e-p -->e-p elastic inelastic scattering; Bjorken scaling and quarks; quark distribution functions; the gluons. (Halzen and Martin 8.1-8.4, Chapter 9; Griffiths 8.3-8.6))
Chapter 7 ``Quantum Chromodynamics'': Evidence of 3 colours: e+e---> hadrons; Lagrangian and Feynmand rules for QCD; q qbar interactions: colour singlet and colour octet configurations; Asymptotic freedom: perturbative QCD and factorization; Tests of perturbative QCD: Drell-Yan, e+e--> 2 jets and the spin of the quark; e+e- --> 3 jets and the spin of the gluon (Griffiths 9, Halzen and Martin 10.1, 11);
Chapter 8 ``Weak Interactions'': Weak decays and parity violation: V-A weak charged currents; W boson as mediator of weak charged currents; Low energy tests: muon decay, nuclear beta decay, neutrino decay, neutrino-electron scattering; fermion mixing matrix; Weak neutral currents: Z0 and the GIM mechanism; CP violation; Weinberg-Salam Model of Electroweak Interactions; Spontaneoous symmetry breaking: Higgs mechanism; Masses of the Gauge Bosons and of the Fermions. (Halzen and Martin 12, 13, 15.1,14.9,15.2-4, Griffits 10.1-10.6)