feat: Effective potential for Weyl fermions (Stacked on #1404) - #1415
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jstoobysmith wants to merge 212 commits into
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feat: Effective potential for Weyl fermions (Stacked on #1404)#1415jstoobysmith wants to merge 212 commits into
jstoobysmith wants to merge 212 commits into
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Prompt: I want you to: 1. Fill out the sorries in this file. 2. Define a instance of a `Star` on `potentialAlgebra` defined by conjugating Left and Right weyl fermions, and using CliffordAlgebra.reverse 3. Define a representation of the Lorentz group on potentialAlgebra. 4. Define the majorana mass for a LeftHandedWeyl. 5. Show it is Lorentz invariant. Co-Authored-By: Claude <claude@users.noreply.github.com>
Your definition of majoranaMass is wrong. In particular it does not even take in a fermion as an argument. I wouldn't not define leftBilinear as it does not make any sense - again also no fermions there. > Really you should be using contractions. and the dual maps Co-Authored-By: Claude <claude@users.noreply.github.com>
Co-Authored-By: Claude <claude@users.noreply.github.com>
Co-Authored-By: Claude <claude@users.noreply.github.com>
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Thank you for this PR, which will now be reviewed. If submitting to ./Physlib or ./QuantumInfo, please see our review guidelines if you are not familiar with the process. You should expect a back and forth with a reviewer before your PR is merged. See also that link for how to add appropriate labels to your PR. The PR will also go through a number of automated checks. You can learn more about these here, including how to run them locally. If you are submitting to ./PhyslibAlpha there will be a lighter review process, though your PR must still pass the automated checks. If you want to bring attention to this PR, please write a message on this thread of the Lean Zulip. Important: If a reviewer adds an |
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Got claude to fill in details of the other algebras. Co-Authored-By: Claude <claude@users.noreply.github.com>
Co-authored-by: Claude Opus 4.8 <no-reply+claude-opus-4-8@anthropic.com>
…classification Removes the nine modules downstream of Grading/BoostWeight. Grading/BoostWeight Boosts/FieldStrength GaugeDoubleDeriv/BoostWeight GaugeDoubleDeriv/Invariance GaugeKineticTerm/BoostWeight GaugeKineticTerm/Invariance FermionicKineticTerm/BoostWeight FermionicBarKineticTerm/BoostWeight MassDimFour/Classification Drops the root import at Physlib.lean:189 and regenerates todos.md.
Removes the remaining twenty-eight modules of the package. Basic GaugeAction LorentzAction JetDeriv JetDerivLorentz IsInvariant FieldStrength Covariantization CovariantAlgebra CovariantDeriv Grading/Hypercharge Grading/Irrep MassDim DerivativeOrder FermionicParity MassDimFour/Basic MassDimFour/LinearIndependence Terms/KineticTerms Terms/MaxwellTerm Terms/ThetaTerm FermionicKineticTerm/Closure FermionicKineticTerm/LinearIndependence FermionicBarKineticTerm/Closure FermionicBarKineticTerm/LinearIndependence GaugeKineticTerm/Closure GaugeKineticTerm/LinearIndependence GaugeDoubleDeriv/Closure GaugeDoubleDeriv/LinearIndependence Drops the root import at Physlib.lean:190.
…PI for gluons List of files removed: FieldStrength/Gluons GaugeBosons/Gluons GaugeBosons/Gluons/JetCompleteness GaugeBosons/Gluons/JetCompleteness/ColourBasis GaugeBosons/Gluons/JetCompleteness/CoordinateChange GaugeBosons/Gluons/JetCompleteness/CovariantTower GaugeBosons/Gluons/JetCompleteness/DiagonalJet GaugeBosons/Gluons/JetCompleteness/FiniteCompleteness GaugeBosons/Gluons/JetCompleteness/FiniteHeight GaugeBosons/Gluons/JetCompleteness/GaugeAction GaugeBosons/Gluons/JetCompleteness/HighestLayer GaugeBosons/Gluons/JetCompleteness/HookBianchi GaugeBosons/Gluons/JetCompleteness/OrdinaryJets GaugeBosons/Gluons/JetCompleteness/SeriesGaugeAction GaugeBosons/Gluons/JetCompleteness/Triangular
List of files removed: GaugeBosons/BBoson/Basic GaugeBosons/BBoson/MassDim
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claude Fable was used to help proof some results. All other content was, in the end, human written. I did experiment with getting claude to write things initially, but these were reverted.
This adds the effective potential for a left-handed Weyl fermion written as an element of the suitable Exterior algebra. It also proves the general form of an effective potential which is invariant under the Lorentz group, this is related to the Majorana mass.