feat: Effective potential for Weyl fermions (Stacked on #1404) - #1415
feat: Effective potential for Weyl fermions (Stacked on #1404)#1415jstoobysmith wants to merge 191 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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Got claude to fill in details of the other algebras. Co-Authored-By: Claude <claude@users.noreply.github.com>
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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.