Examples

Worked examples demonstrating the features of sft-wick, from simple free-theory contractions to higher-order perturbative calculations.

• Zeroth-Order Moments
  • Scalar Two-Point Function
  • Mixed-Field Four-Point Function
  • Pure Physical Four-Point Function
  • Vanishing Cases
• First-Order Perturbation Theory
  • Scalar Cubic Vertex
  • Multi-Component Cubic Vertex
  • Inspecting Diagrams
• Multi-Component Fields
  • Four-Point Function with Component Indices
  • Mixed Physical and Response Fields
  • First-Order with Coupling Tensor
• Non-Local Interactions
  • A Non-Local Kernel
  • Mixing Local and Non-Local Vertices
  • Comparing Local vs. Non-Local Output
• Advanced Usage
  • Direct Wick Contraction
  • Single Pair Contraction
  • Second-Order Perturbation Theory
  • Diagram Topology Analysis
  • Itô Prescription
  • Response Phase Convention
  • Diagram-Based Term Collection
  • Working with Expression Trees
• Interactive Notebook
  • Quick Start
  • Multi-Component Fields and Perturbative Expansion
  • Itô Prescription and Causal R-Loop Elimination
  • Response Phase Convention
  • Topology-Based Term Collection