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Published byBeryl Bryant Modified over 9 years ago
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Quantum Electrodynamics Dirac Equation : spin 1/2
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Feynmann Diagrams
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Moller Scattering Interaction is mediated by exchange of a photon Bhaba Scattering electron positron annhilation
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Symmetries, Groups and Conservation laws Closure: R 1,R 2 belong to G, R 1.R 2 also belongs to G Identity: There exists element I such that for all elements in G IR i =R i I=R i Inverse: For every element there exists an inverse element such that R i R i -1 =I Associativity:
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Symmetries and Conservation Laws Noether's theorem: Every continuous symmetry implies a corresponding conservation law and conversely, every conservation law reveals a symmetry in the system. Rotation ---- Angular momentum Time translation ----- Energy
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SU(2) Symmetry Group: Isospin mass of proton ~ mass of neutron treating proton as a different charge substrate of neutron: Isospin (I) I=1/2. (conserved in strong interactions) I 3 =+/- 1/2 -----> charge Q/e=1/2+ I 3 Analogous to a particle of ordinary spin 1/2 Generators of SU(2) are Pauli matrices:
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SU (3) symmetry: Flavour symmetry Generators of SU(3):Gell Mann Matrices
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Charge Conjugation: C Particle to antiparticle Parity Operation: P, reflects a system through the origin right handed system to left handed system axial system invariant under parity CPT invariance: All interactions are invariant under combined C,P,T Time Reversal: T. Changes the direction of motion C and P are conserved in EM and Strong Interactions
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Weak Interactions All quarks, leptons carry "weak charge" Short range interaction Interact via exchange of W+,W- and Z bosons (massive) two kinds of weak interactions: charged (W bosons) and neutral (Z boson) Examples :decay processes
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Weak Interactions: Leptons charged neutral
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Conservation of electron, muon, tau numbers
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Conservation laws in WI Conservation of charge Conservation of Colour Conservation of Baryon number Electron, muon, tau number
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CP violation in Weak Interaction Weak Interactions are not always CP invariant. CP violation implies Time reversal must also be violated.
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