Course11510300160 lectures
Electroweak Interactions in the Standard Model of Particle Physics
Prof. Subhaditya Bhattacharya · IIT Guwahati
About
Standard Model of particle physics has been immensely successful in describing the electromagnetic, weak and strong interactions of the visible sector particles to a high degree of accuracy. Theoretical developments in this regard involved the concepts of quantum field theory, gauge invariance, conserved charges, spontaneous symmetry breaking, and many such novel ideas; while the experimental validation also required a lot of innovations, starting from the idea of high energy probes, observing parity violation, statistical analysis in signal identification from background contamination and so on. Many Nobel prizes have been awarded to this development. The course aims to take the students through this spectacular journey aimed to imprint these ideas, make them equipped to calculate and estimate some of the measurables and grow further curiosity to tackle the ongoing problems that physicists aim to address in coming years.
Intended audience: Masters, and PhD students in physics discipline.
Prerequisites: A student pursuing or completed master’s degree (M.Sc.) in Physics, with familiarity to the basics of Mathematical Physics and Advanced quantum mechanics is eligible for the course.
Lectures
Week 1: Relativity and Lorentz invariance
- Lec 1: Particles & Fields: The Building Blocks
- Lec 2: Lorentz Transformation & Four Vectors
- Lec 3: Lorentz Invariant Phase Space
- Lec 4: Decay Rate & Branching Ratio
- Lec 5: Interaction Rate & Cross Section
Week 2: Relativistic Quantum Mechanics
- Lec 6: Klein Gordon Equation & its Solutions
- Lec 7: Dirac Equation & Gamma Matrices
- Lec 8: Dirac Equation & the Concept of Spin
- Lec 9: Solutions to the Dirac Equation
- Lec 10: Antiparticle Solutions to the Dirac Equation
- Lec 11: Dirac Equation & the Concept of Helicity
Week 3: Symmetries in Particle Physics
- Lec 12: Concepts of Chirality and Parity
- Lec13: Lagrangian and Equation of Motion
- Lec14: Global Symmetries & Noether's Theorem
- Lec15: Symmetry Transformations & Groups
- Lec16: Groups: Generators & Representations
Week 4: Quantum Electrodynamics (QED)
- Lec 17: Classical Electromagnetism
- Lec18: Gauge Freedom and Polarization
- Lec 19: Cannonical Quantization Formalism
- Lec 20: Quantizing Fermions and Photons
- Lec 21: QED: The U(1) Gauge Theory
Week 5: QED: Properties and Applications I
- Lec 22: Concept of Feynman Propagator
- Lec 23: S-Matrix and QED Feynman Rules
- Lec 24: Feynman Diagrams & Amplitudes
- Lec 25: Calculating Cross Sections in QED I
- Lec 26: Calculating Cross Sections in QED II
Week 6: QED: Properties and Applications II
- Lec 27: Helicity Amplitudes Technique I
- Lec 28: Helicity Amplitudes Technique II
- Lec 29: Parity Transformations in QED
- Lec 30: Triumps of QED: Electron (g-2)
Week 7: Non Abelian Gauge Theory
- Lec 31: Beta Deacy and Weak Interaction
- Lec 32: Construction of Non-Abelian SU(2) Gauge Theory
- Lec 33: Interactions in SU(2) Gauge Theory
- Lec 34: Parity Violation in Beta decay
- Lec 35: Glashow Weinberg Salam Model of Electroweak Interactions I
- Lec 36: Glashow Weinberg Salam Model of Electroweak Interactions II
Week 8: Electroweak Interactions
- Lec 37: Feynman rules in Electroweak Interactions
- Lec 38: Processes with Electroweak Interactions
- Lec 39: Cross-section calculation with Electroweak Interactions I
- Lec 40: Cross-section calculation with Electroweak Interactions II
- Lec 41: Parity violation in Weak Interaction via V-A current
- Lec 42: Parity violation in Weak Interaction via V-A current
Week 9: Spontaneous Symmetry Breaking
- Lec 43: Issues with Fermion and Gauge Boson Masses
- Lec 44: Spontaneous Symmetry Breaking with Real Scalar Field
- Lec 45: Spontaneous Symmetry Breaking of U(1) Gauge Symmetry
- Lec 46: Goldstone Theorem, Higgs Boson in U(1) Gauge Symmetry
- Lec 47: Spontaneous Electroweak Symmetry Breaking
Week 10: Aspects of the Standard Model
- Lec 48: Gauge Boson and Higgs Boson Masses in the Standard Model
- Lec 49: Fermion masses and Yukawa interactions
- Lec 50: Higgs Boson Production and Decay Modes, Higgs Discovery
- Lec 51: The clash of bases: Flavour versus Mass
- Lec 52: Flavor Physics: CKM matrix and CP violation
Week 11: Quantum Chromodynamics (QCD)
- Lec 53: Perturbative QCD : SU(3) Gauge Theory
- Lec 54: Colour Charge, Colour Confinement and Strong coupling
- Lec 55: Processes with Strong Interaction I, Colour Average
- Lec 56: Processes with Strong interaction, Hadron Collider, Drell Yan Process
Week 12: Standard Model and Beyond
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Guwahati
- Department
- Physics
- Teacher
- Prof. Subhaditya Bhattacharya
- Level
- Graduate
- Language
- English
- Subjects
- Physics
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed