We use Noether's theorem to derive energy-momentum tensors for a simple elastic material, a nonsimple elastic material of grade two, a simple elastic dielectric and a nonsimple elastic dielectric of grade two. The technique is easily extendable to a nonsimple elastic dielectric of any grade. Introduction The concept of the force acting on a defect, e.g., an impurity, vacant lattice site, disloc...

While the Lorentz structures of $N \to \Delta$ transition matrix element vector current is well-known, that symmetric energy-momentum tensor unknown. In this letter, we first reproduce $\frac{1}{2}^{\pm} \frac{1}{2}^{\pm}$, $\frac{1}{2}^{\mp} and \frac{3}{2}^{\pm}$ elements current. We also repeat parametrizations for \frac{1}{2}^{\pm}$ transitions. then consider both (say, transition) time. fo...

In a well-known paper [1] V.C. de Andrade, L. C. T. Guillen and J.G. Pereira defined a conserved gauge current hj ρ a , however they stated that: " This is, we believe the farthest one can go in the direction of a tensorial definition for the energy and momentum of the gravitational field. The lack of local Lorentz covariance can be considered as the teleparallel manifestation of the pseudotens...

The implications of conformal invariance, as relevant in quantum field theories at a renormalisation group fixed point, are analysed with particular reference to results for correlation functions involving conserved currents and the energy momentum tensor. Ward identities resulting from conformal invariance are discussed. Explicit expressions for two and three point functions, which are essenti...

The requirements of conformal invariance for the two point function of the energy momentum tensor in the neighbourhood of a plane boundary are investigated, restricting the conformal group to those transformations leaving the boundary invariant. It is shown that the general solution may contain an arbitrary function of a single conformally invariant variable v, except in dimension 2. The functi...