| PHY 557 |
Elementary Particle Physics |
Spring 2024 |
Chapter 1 ``Basics'': Overview; Basic concepts of quantum physics for particles; the particle contents of the Standard Model; Natural Units;
Chapter 2 ``Relativistic Kinematics'': Lorentz transformation; Implications; Four-vector notation; Energy-momentum four-vector; Examples. (Chapter 2 Griffiths)
Chapter 3 ``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; Application to bound states of strong interactions; Flavour symmetries; (Chapter 2 Halzen and Martin (2-1 to 2-11), Chapter 4 Griffiths)
Chapter 4 ``Relativistic Wave Equations'': Schrodinger equation and its probabilistic interpretation; Klein-Gordon equation and its problems; Dirac Equation: Derivation, Solutions; Electromagnetic wave equations: photons; Procca Equation for massive spin 1 particle; (Halzen and Martin (3-3 to 3-5, 5, and 6.9), Griffiths(7.1 to 7.4)
Chapter 5 ``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 formalism; QED as an abelian gauge theory; (Halzen and Martin (3.6, 6.1, 6.4, 6.17, 4.8, 6.10, brief summary of chapter 7, check also chapter 4)
Chapter 6 ``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) (Lectures 10/14/03, 10/17/03, 10/21/03)
Chapter 7 ``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 8 ``Strong Interactions: Quantum Chromodynamics'': Representations of SU(N); Evidence of 3 colours: e+e---> hadrons; Lagrangian and Feynman rules for QCD; q qbar interactions: colour singlet and colour octet configurations; 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 ; Internal symmetries and classification of bound states of strong interactions (hadrons): SU(2) isospin flavour and SU(3) flavour.
Chapter 9 ``Weak Interactions'': Weak decays and parity violation: V-A weak charged currents; W boson as mediator of weak charged currents; Low energy tests: Weak neutral currents: Z0 and the GIM mechanism; CP violation.
Chapter 10 ``Electroweak Unification'': Weinberg-Salam Model of Electroweak Interactions; Spontaneous symmetry breaking; The Higgs Boson;
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