Elsayed Ibrahim Lashin Ain Shams University, Cairo Egypt Zewail City of Science and Technology, Giza Egypt 28 March 2018 The second Omani School of High Energy Physics The Standard Model of Particles and Interactions II - Towards Gauge Theories 1
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Elsayed Ibrahim LashinAin Shams University, Cairo EgyptZewail City of Science and Technology, Giza Egypt 28 March 2018 The second Omani School of High Energy Physics
The Standard Model of Particles and InteractionsII- Towards Gauge Theories
1
2
Some textbooks
-Quantum Field Theory, F. Mandl and G. Shaw, (Jhon Wiley & Sons)
3
Symmetries
4
Why Quantum Field Theory (QFT)
5
Classical Field Theory
6
Classical Field theory and Noether theorem
7
Scalar Field theory
8
From first to second quantization
9
Scalar field quantization continued
10The quantization of electromagnetic field is more subtle due to gauge invariance
Gauge transformation
11
Summary of procedure for building QFT
12
Gauge transformation and the Dirac action
13
Electrodynamics of a spinor field
14
Gauge Symmetry predicts dynamics1. The photon is massless2. The minimal coupling 3. There is no self coupling for photon 4. Conservation of charge
Conserved quantity
Symmetry
Gauge field
Yang-Mills fields
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The Lagrangian of the world
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