Merge branch 'master' into refactor-ACC
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on:
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push:
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pull_request:
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name: continuous integration
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run: |
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chmod u+x scripts/lint-style.sh
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./scripts/lint-style.sh
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README.md
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README.md
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@ -12,29 +12,38 @@ A project to digitalize high energy physics.
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## Aims of this project
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1. Digitalize results (meaning calculations, definitions, and theorems) from high energy physics
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🎯 __Digitalize__ results (meaning calculations, definitions, and theorems) from high energy physics
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into Lean 4.
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2. Develop structures to aid the creation of new results in high energy physics using Lean,
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🎯 Develop structures to aid the __creation__ of new results in high energy physics using Lean,
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with the potential future use of AI.
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3. Create good documentation so that the project can be used for pedagogical purposes.
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🎯 Create good documentation so that the project can be used for __pedagogical__ purposes.
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## Areas of high energy physics with some coverage in HepLean
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## Some parts of HepLean
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HepLean _currently_ includes, but is not limited to, the following parts:
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__Lorentz [🗂️](https://heplean.github.io/HepLean/docs/HepLean/Lorentz/Group/Basic.html):__ The Lorentz group, Lorentz algebra, Weyl fermions, Real Lorentz vectors, complex Lorentz vectors, complex Lorentz tensors, bispinors, Pauli matrices, etc.
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__Index notation [🗂️](https://heplean.github.io/HepLean/docs/HepLean/Tensors/OverColor/Basic.html):__ Formalization of index notation using category theory allowing commands like
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```Lean
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{A | μ ν ⊗ S | μ ν = - A | μ ν ⊗ S | μ ν}ᵀ
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```
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__Anomaly cancellation [🗂️](https://heplean.github.io/HepLean/docs/HepLean/AnomalyCancellation/Basic.html):__ Results related to solutions to the anomaly cancellation conditions of several theories.
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__Standard Model physics [🗂️](https://heplean.github.io/HepLean/docs/HepLean/StandardModel/Basic.html):__ Properties of the Higgs potential.
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__BSM physics [🗂️](https://heplean.github.io/HepLean/docs/HepLean/BeyondTheStandardModel/TwoHDM/Basic.html):__ Starts to: Georgi Glashow model, Pati-Salam, Spin(10), Two Higgs doublet model.
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__Flavor physics [🗂️](https://heplean.github.io/HepLean/docs/HepLean/FlavorPhysics/CKMMatrix/Basic.html):__ Properties of the CKM matrix.
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[](https://heplean.github.io/HepLean/docs/HepLean/FlavorPhysics/CKMMatrix/Basic.html)
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[](https://heplean.github.io/HepLean/docs/HepLean/StandardModel/HiggsBoson/Basic.html)
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[](https://heplean.github.io/HepLean/docs/HepLean/BeyondTheStandardModel/TwoHDM/Basic.html)
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[](https://heplean.github.io/HepLean/docs/HepLean/SpaceTime/LorentzGroup/Basic.html)
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[](https://heplean.github.io/HepLean/docs/HepLean/AnomalyCancellation/Basic.html)
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[](https://heplean.github.io/HepLean/docs/HepLean/FeynmanDiagrams/PhiFour/Basic.html)
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## Associated media and publications
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| | Description |
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|----|------|
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| [Paper](https://arxiv.org/abs/2405.08863) | HepLean: Digitalising high energy physics |
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| [Code](https://live.lean-lang.org/#code=import%20Mathlib.Tactic.Polyrith%20%0A%0Atheorem%20threeFamily%20(a%20b%20c%20%3A%20ℚ)%20(h%20%3A%20a%20%2B%20b%20%2B%20c%20%3D%200)%20(h3%20%3A%20a%20%5E%203%20%2B%20b%20%5E%203%20%2B%20c%20%5E%203%20%3D%200)%20%3A%20%0A%20%20%20%20a%20%3D%200%20∨%20b%20%3D%200%20∨%20c%20%3D%200%20%20%3A%3D%20by%20%0A%20%20have%20h1%20%3A%20c%20%3D%20-%20(a%20%2B%20b)%20%3A%3D%20by%20%0A%20%20%20%20linear_combination%20h%20%0A%20%20have%20h4%20%3A%20%203%20*%20a%20*%20b%20*%20c%20%3D%200%20%3A%3D%20by%20%0A%20%20%20%20rw%20%5B←%20h3%2C%20h1%5D%0A%20%20%20%20ring%20%0A%20%20simp%20at%20h4%20%0A%20%20exact%20or_assoc.mp%20h4%0A%20%20%0A) | Example code snippet |
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| [Video](https://www.youtube.com/watch?v=W2cObnopqas) | HepLean: Lean and high energy physics |
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| [Video](https://www.youtube.com/watch?v=IjodVUawTjM) | Index notation in Lean 4 |
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- [📄](https://arxiv.org/abs/2405.08863) Joseph Tooby-Smith, __HepLean: Digitalising high energy physics__, arXiv:2405.08863
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- [💻](https://live.lean-lang.org/#code=import%20Mathlib.Tactic.Polyrith%20%0A%0Atheorem%20threeFamily%20(a%20b%20c%20%3A%20ℚ)%20(h%20%3A%20a%20%2B%20b%20%2B%20c%20%3D%200)%20(h3%20%3A%20a%20%5E%203%20%2B%20b%20%5E%203%20%2B%20c%20%5E%203%20%3D%200)%20%3A%20%0A%20%20%20%20a%20%3D%200%20∨%20b%20%3D%200%20∨%20c%20%3D%200%20%20%3A%3D%20by%20%0A%20%20have%20h1%20%3A%20c%20%3D%20-%20(a%20%2B%20b)%20%3A%3D%20by%20%0A%20%20%20%20linear_combination%20h%20%0A%20%20have%20h4%20%3A%20%203%20*%20a%20*%20b%20*%20c%20%3D%200%20%3A%3D%20by%20%0A%20%20%20%20rw%20%5B←%20h3%2C%20h1%5D%0A%20%20%20%20ring%20%0A%20%20simp%20at%20h4%20%0A%20%20exact%20or_assoc.mp%20h4%0A%20%20%0A) Example code snippet related to Anomaly cancellation conditions.
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- [🎥](https://www.youtube.com/watch?v=W2cObnopqas) Seminar recording of "HepLean: Lean and high energy physics" by J. Tooby-Smith
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### Papers referencing HepLean
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- Hu, Jiewen, Thomas Zhu, and Sean Welleck. "miniCTX: Neural Theorem Proving with (Long-) Contexts." arXiv preprint [arXiv:2408.03350](https://www.arxiv.org/abs/2408.03350) (2024). [Project page]( https://cmu-l3.github.io/minictx/)
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@ -47,13 +56,21 @@ We follow here roughly the same contribution policies as MathLib4 (which can be
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A guide to contributing can be found [here](https://github.com/HEPLean/HepLean/blob/master/CONTRIBUTING.md).
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If you want permission to create a pull-request for this repository contact Joseph Tooby-Smith on the lean Zulip, or email.
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If you want permission to create a pull-request for this repository contact Joseph Tooby-Smith on the [Lean Zulip](https://leanprover.zulipchat.com), or email.
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## Installation
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If you want to playaround with HepLean, but do not want to download Lean, then you can use [GitPod](https://gitpod.io/#https://github.com/HEPLean/HepLean).
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### Installing Lean 4
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The installation instructions for Lean 4 are given here: https://leanprover-community.github.io/get_started.html.
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Installation instructions for Lean 4 can be found:
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- https://lean-lang.org/lean4/doc/quickstart.html
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or
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- https://leanprover-community.github.io/get_started.html
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### Installing HepLean
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