Skip to main content
grasp.study
About
Explore
Pricing
Log in
Try it for free
Back to course
👋
Welcome to a Grasp lesson
Create a free account
to keep studying and create your own study path.
Canonical Quantization of QFT
·
Module 2
Interacting Fields and Perturbative Scattering
1
Dyson Series and Interaction Picture in φ⁴ Theory
Formulate the interaction picture and derive the Dyson series for the time-evolution operator in φ⁴ theory.
2
Wick's Theorem and Time-Ordered Products
Apply Wick's theorem to express time-ordered products of interacting fields in terms of normal-ordered products and propagators.
3
LSZ Reduction for Scalar Cross-Sections
Relate S-matrix elements to observable cross-sections using the LSZ reduction formula for scalar particles.
4
Feynman Rules for φ⁴ Theory from Dyson Series
Derive the Feynman rules for φ⁴ theory in momentum space from the Dyson series expansion.
5
Tree-Level φ⁴ Scattering Amplitude Calculation
Calculate the tree-level 2→2 scattering amplitude in φ⁴ theory using Feynman diagrams.
6
Deriving the Differential Cross-Section in the CM Frame
Derive the formula for the differential cross-section for a 2→2 scattering process in the center-of-mass frame.
7
Total Cross-Section Calculation in $\phi^4$ Theory
Numerically compute the total cross-section for 2→2 scattering in φ⁴ theory by integrating the differential cross-section.
8
Monte Carlo Event Generation for 2→2 Scalar Scattering
Implement a simple Monte Carlo event generator for a 2→2 scalar field theory process using the calculated amplitude.
Previous module
Foundations of Relativistic Quantum Fields
Next module
Fermionic Fields and Quantum Electrodynamics (QED)