International Journal of Geometric Methods in Modern PhysicsGodina, M., Matteucci, P.: The Lie derivative of spinor fields: theory and applications. Int. J. Geom. Methods Mod. Phys. 2(2), 159-188 (2005)M.Godina and P.Matteucci, The Lie derivative of spinor fields: Theory and applica-...
of the generalized gauge-natural Jacobi morphism, the Lie derivative of spinor fields is then accordingly characterized as the above mentioned indeterminacy disappears along the kernel of the generalized gauge-natural Jacobi morphism. 2 Variational sequences on jets of gauge-natural bundles Consider ...
Furthermore, the transformation of the derivative of a field corresponds to the derivative of the transformation of the field, [ξ, ∂kσ] = ∂k([ξ, σ]), [ξ, ∂¯kσ] = ∂¯k([ξ, σ]), [ξ, ∂ukσ] = ∂uk([ξ, σ]), (4.6) together with the complex ...
Metric-affine gauge theory of gravity: field equations, Noether identities, world spinors, and breaking of dilation invariance In Einstein's gravitational theory, the spacetime is Riemannian, that is, it has vanishing torsion and vanishing nonmetricity (covariant derivative of the ... FW Hehl,JD ...
Here Θ(ϕ) denotes the Schwarzian derivative of ϕ. Let's only recall that it is the Souriau cocycle in H1(Vect(S1), vir∗) associated to Bott-Virasoro cocycle in H2(Diff(S1) , R), referring to [12], Chap. IV, VI for details. The problem of computing the coadjoint ...
Winterroth: Noether identities in Einstein-Dirac theory and the Lie derivative of spinor fields, preprint.M. Palese and E. Winterroth, “Noether identities in Einstein-Dirac theory and the Lie derivative of spinor fields,” in: Proc. 10 th Intl. Conf. on Differential Geometry and its ...
spinor field.We characterize the Lie derivative of spinor fields from a variational pointof view by resorting to the theory of the Lie derivative of sections of gauge-natural bundles. Noether identities from the gauge-natural invariance of thefirst variational derivative of the Einstein(—Cartan)-...
Relying on the general theory of Lie derivatives a geometric definition of Lie derivative for two-component spinors is given, which recovers well known classical formulae, providing as well some new unexpected results. We re-express in spinorial variables the background-dependent family of first ...
(6.1) The presence of the chirality operator in front of the space-time derivative ∂µ solves the important problem of the sign of the energy of the vector Boson Aaµ. In a superalgebra, the natural normalization of the even matrices involves the supertrace ST r(λaλb) = T r(...
Hestenes spinor field (even section ofCl_{Spin_{1,3}^{e}}(M,g)) in the Clifford bundle , we give a geometricalmotivated definition for the Lie derivative of spinor fields in a Lorentzianstructure (M,g) where M is a manifold such that dimM =4, g is Lorentzian ofsignature (1,3)...