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Classical HadronDynamicsThe Poisson brackets of the meson fields are those of a unitaryLie algebra[M(x,x ),M(y,y )] = δ(x − y)M(x,y ) − δ(y − x)M(y,x )) The hamiltonian isH = ˜M(p,p)+δ(x − y)ε(x,y ) − δ(y − x)ε(y,x ) dpε(x,y)=2π sign(p)eip(x−y)m 2pthe Fourier transform.dp2π + α |M(x,y)| 2 |x − y|dxdy where ˜M isVery important that M satisfy the constraint (M + ε) 2 = 1:lies on a Grassmannian.S. G. <strong>Rajeev</strong> Progress on the Skyrme Model
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