Rigid symmetries and conservation laws in non-Lagrangian field theory

Symmetries of Conservation Laws

We apply techniques of symmetry group analysis in solving two systems of conservation laws: a model of two strictly hyperbolic conservation laws and a zero pressure gas dynamics model, which both have no global solution, but whose solution consists of singular shock waves. We show that these shock waves are solutions in the sense of 1-strong association. Also, we compute all projectable symmetr...

Fundamental Symmetries and Conservation Laws

I discuss recent progress in low-energy tests of symmetries and conservation laws, including parity nonconservation in atoms and nuclei, electric dipole moment tests of time-reversal invariance, β-decay correlation studies, and decays violating separate (family) and total lepton number.

Asymptotic Conservation Laws in Field Theory

A new approach to the derivation of asymptotic conservation laws in field theory is presented. This approach is based upon the explicit construction of a universal spacetime differential form which plays a central role in the general theory of lowerdegree conservation laws. It is shown that this differential form immediately leads to the standard asymptotic conservations laws for both the Einst...

Asymptotic Conservation Laws in Classical Field Theory.

Approximate spacetime symmetries and conservation laws

A notion of geometric symmetry is introduced that generalizes the classical concepts of Killing fields and other affine collineations. There is a sense in which flows under these new vector fields minimize deformations of the connection near a specified observer. Any exact affine collineations that may exist are special cases. The remaining vector fields can all be interpreted as analogs of Poi...