Motivation
While doing TAship in General Relativity and Quantum Field Theory at my graduate university in spring 2020, I have also conducted this minilecture series for PhDs, graduate, and undergraduate students who were taking the aforementioned courses and doing their senioryear projects/thesis in high energy theory.
Course Material and Medium of Instructions
Lecture notes were uploaded after every session on the university LMS portal accordingly. The medium of instructions was Urdu and English.
Course Content
 First Lecture – Introduction to Classical Field Theory
 What is a field?
 Dynamics of fields
 Field theory
 Dynamics of classical field theory
Examples: Massless scalar fields and their dynamics
 Massive scaler fields and its dynamics
 KleinGorden Equation and its solution
 Interacting scalar fields:
 Particle in the presence of a field
 Two interacting classical scaler fields
 Complex scalar fields
 Second Lecture – Canonical Quantization
 Field in terms of creation and annihilation operator (Mode expansion)
 Normal ordering
 Canonical quantization of complex scalar field
 KleinGordon equation for nonrelativistic regime
 Canonical quantization of truncate the complex scalar field
 Third Lecture – Symmetries & Noether’s Theorem

 Global and local symmetries
 Spacetime and Internal symmetries
 Brief introduction of Noether’s current and Noether’s momentum
 Energy momentum tensor
 Uncoupled and Coupled harmonic oscillators
 Some examples (mostly from David Tong’s lecture notes)
 Fourth Lecture – Feynmann Propagators

 Feynman propagator
 Interacting system
 Free propagator
 Discussed some problems
Here are the blackboards for the first two talks.
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