Presentation is loading. Please wait.

Presentation is loading. Please wait.

Quantum Electrodynamics Dirac Equation : spin 1/2.

Similar presentations


Presentation on theme: "Quantum Electrodynamics Dirac Equation : spin 1/2."— Presentation transcript:

1 Quantum Electrodynamics Dirac Equation : spin 1/2

2 Feynmann Diagrams

3 Moller Scattering Interaction is mediated by exchange of a photon Bhaba Scattering electron positron annhilation

4 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:

5 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

6 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:

7 SU (3) symmetry: Flavour symmetry Generators of SU(3):Gell Mann Matrices

8 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

9 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

10 Weak Interactions: Leptons charged neutral

11 Conservation of electron, muon, tau numbers

12 Conservation laws in WI Conservation of charge Conservation of Colour Conservation of Baryon number Electron, muon, tau number

13 CP violation in Weak Interaction Weak Interactions are not always CP invariant. CP violation implies Time reversal must also be violated.


Download ppt "Quantum Electrodynamics Dirac Equation : spin 1/2."

Similar presentations


Ads by Google