Revision #119 → #1160 · back to history
addedDirac spinors6f1b16b9412e
addedZero-mass limit reduces to Weyl equation6a31b9474723
addedKlein–Gordon starting equatione3b8ed0fb401
addedLinearization ansatza9f15e87a05f
addedAnticommutation conditions on the variables962a5b5fd738
addedThe Dirac equation93634cfb716e
addedMatrices form a Clifford algebra1bcaeacc1658
addedDirac field5b10171fdb5a
addedLorentz covariant Dirac equation8983b75ac853
addedGamma matrices and the Dirac algebra08b35ded0f6e
addedDirac algebra is a Clifford algebrab885917fc9c2
addedDirac representation4039081c4280
addedChiral representation263ba13181ce
addedMajorana representatione684e35afa7a
addedAdjoint Dirac equation1f517f67375a
addedLorentz invariance of bilinears7531d51b3486
addedNon-covariant (Hamiltonian) formd802ae024da5
addedDirac action72044a0d1947
addedDirac equation as Euler–Lagrange equation3d8a533d7240
addedDirac spinor as wave function33f51b8818f4
addedPosition probability density57c9e0743c2c
addedOperator-valued spinor field1bfd99fc8e56
addedOperator Dirac equation093be5bf0eb8
addedGrassmann-valued path integral field68b6f72bc789
addedClassical spinor field theory and SL(2,C)43f855ccf852
addedGroup representation44c3f7eda081
addedLorentz Lie algebra bracket9473b81ca149
addedVector representation generatorsf2ba4bb518cc
addedLorentz transformation by exponentiationa3801d51696b
addedSpinor representation generators07084dfa10a8
addedSpinor representation is two-to-one (double cover)5cf3a900a5a7
addedLorentz covariance of the Dirac equation3700c95ae065
addedLorentz invariance of the Dirac actiona6489cb3c590
addedGlobal U(1) vector symmetry6683687d0e3b
addedConserved vector current (Noether)ab3d3adc6488
addedAxial symmetry in the massless limitdfa1a2f97cf0
addedAxial currentbb72751e07ce
addedAxial current is a pseudovectore4c8037dcfb3
addedChiral anomaly obstructs gauging29d49bb1ada5
addedStress-energy tensor from translationsa451a0886aed
addedLorentz currents985a8fe01d10
addedEach component solves Klein–Gordon74886ed9dd1c
addedDirac solutions are Klein–Gordon solutions1dcbe6c7e3fe
addedPositive frequency plane wave solutions70323feedfb0
addedNegative frequency solutions37f8fa76dea6
addedMomentum-space Dirac equation6b1324043c75
addedGeneral solution in chiral representation482f47facd94
addedGeneralization to arbitrary dimension8b53d8e2cb7c
addedSpinor covariant derivativedf71e3a8382c
addedDirac equation in curved spacetime0ba94d121005
addedNonlinear Dirac equation2a63c814409c
addedBreit equationb878345d6259
addedTwo-body Dirac equation34ef9f46d7b4
addedDirac–Hestenes equation5700f6b0dd83
addedDirac–Kähler equation68b9e872f255
addedDecomposition into Weyl spinors116ad75d27e4
addedReduction to coupled Weyl equations2d1f96dbf63b
addedMassless decoupling into Weyl equations257e95ffc9ba
addedMajorana equation68f58257692f
addedMajorana spinor reality conditione7a516e27689
addedNon-relativistic limit is the Pauli equation5f3119baa824
addedPauli equation for a charged fermion0aae84241915
addedGyromagnetic ratio equals twoec59b69bb2c1
addedElevating a global to a local symmetry7ba6e83473da
addedGauge field transformatione3c1edaf847e
addedGauge covariant derivativee1bbae4c2ee7
addedGauged action gives quantum electrodynamics89a3bb137350
addedLargest global symmetry U(N)1d22e6e757c5
addedGauging requires an N-dimensional unitary representationa2d8e2075534
addedGauge field in the adjoint representation33ddfa9230c2
addedSU(N) fundamental transformation of spinors5a7594a5704d
addedSU(N) gauge field transformationd4b23428b395
addedQuantum chromodynamics action920d81054ccd
addedYang–Mills field strength tensore1ac426c467d
addedSU(3) and SU(2) in the Standard Model2f893b884b82