Rajeev - Physics

ARelativisticWaveEquationRecall that W µ = 1 2 ε µνρσp ν Σ ρσ transforms as a vector.Since SL(2,C) is the complexification of SU(2) anyrepresentation of the rotations can be extended to arepresentation of the Lorentz group by complexification.The equation + m 2 ψ + K 1 W µ W µ + m 2 K 2 ∆ g ψ = 0hasjust the right symmetry: spin and orbital angular momentumare not separately conserved.1+K2 j(j+1)In the rest frame E =(M,0,0,0) we get M = ±m1+K 1 j(j+1)If K 2 > K 1 the masses increase with spin: for very large spinthey approach a constant value though.K 2 = 0issimilartothecasethatBhabhaandHarish-Chandrastudied.There are negative energy states: a hole theory is needed toeliminate them.Can we understand baryon magnetic moments this way?S. G. Rajeev Progress on the Skyrme Model