Covariance group

In

laws of physics should transform from one frame to another covariantly, that is, according to a representation

O(1,3) and is often referred to as Lorentz group

For example, the

\partial _{\mu }F^{\mu \nu }=4\pi j^{\nu }\,,

transforms as a

(i\gamma ^{\mu }\partial _{\mu }-m)\psi =0\,,

transforms as a bispinor, that is, under the (1/2,0)⊕(0,1/2) representation of the O(1,3) group.

The covariance principle, unlike the

left currents

and thus is not invariant under the parity transformation.

In

invertible and differentiable

Notes

Thomas Ryckman, The Reign of Relativity: Philosophy in Physics 1915–1925, Oxford University Press US, 2005,
ISBN 978-0-19-517717-6