https://github.com/oameye/keldyshcontraction.jl

Perform wick contraction on a Keldysh contour
https://github.com/oameye/keldyshcontraction.jl

feynman-diagrams field-theory keldysh wick-contraction

Last synced: 4 months ago
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Perform wick contraction on a Keldysh contour

• Host: GitHub
• URL: https://github.com/oameye/keldyshcontraction.jl
• Owner: oameye
• License: mit
• Created: 2025-04-17T19:17:59.000Z (6 months ago)
• Default Branch: main
• Last Pushed: 2025-06-11T19:40:49.000Z (4 months ago)
• Last Synced: 2025-06-11T21:13:32.080Z (4 months ago)
• Topics: feynman-diagrams, field-theory, keldysh, wick-contraction
• Language: Julia
• Homepage: https://oameye.github.io/KeldyshContraction.jl/
• Size: 901 KB
• Stars: 7
• Watchers: 1
• Forks: 0
• Open Issues: 13
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

          
# KeldyshContraction.jl

[![docs](https://img.shields.io/badge/docs-online-blue.svg)](https://oameye.github.io/KeldyshContraction.jl/)

[![codecov](https://codecov.io/gh/oameye/KeldyshContraction.jl/branch/main/graph/badge.svg)](https://app.codecov.io/gh/oameye/KeldyshContraction.jl)

[![Benchmarks](https://github.com/oameye/KeldyshContraction.jl/actions/workflows/Benchmarks.yaml/badge.svg?branch=main)](https://oameye.github.io/KeldyshContraction.jl/benchmarks/)

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[![jet](https://img.shields.io/badge/%F0%9F%9B%A9%EF%B8%8F_tested_with-JET.jl-233f9a)](https://github.com/aviatesk/JET.jl)

KeldyshContraction.jl is a package for the symbolic derivation of the two-point correlator diagrams in Keldysh-Schwinger field theory. The symbolic quantum field theory algebra is implemented using [SymbolicUtils.jl](https://github.com/JuliaSymbolics/SymbolicUtils.jl) and [TermInterface.jl](https://github.com/JuliaSymbolics/TermInterface.jl/) of the JuliaSymbolic ecosystem. The typesystem has been heavily inspired by the second quantization algebra defined in [QuantumCumulants.jl](https://github.com/qojulia/QuantumCumulants.jl). For more details on the implementation see the ["symbolic quantum field algebra"](https://oameye.github.io/KeldyshContraction.jl/dev/typesystem/) documentation page.

In developing this package, the work [`SciPost Phys. Core 8, 014 (2025)`](https://doi.org/10.21468/SciPostPhysCore.8.1.014) symbolic quantum field algebra was used extensively. Hence, the corresponding conventions and notation are used in this package.