English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In a four-dimensional space I shall construct all of the conformallyinvariant, scalar-vector-tensor field theories that are consistent withconservation of charge, and flat space compatible. By the last assumption Imean that the Lagrangian of the theory in question is well defined anddifferentiable when evaluated for either a flat metric tensor, (and) orconstant scalar field, (and) or vanishing vector potential. The Lagrangian ofany such field theory can be chosen to be a linear combination of sixconformally invariant scalar-vector-tensor Lagrangians, with the coefficientsbeing scalar functions of the scalar field. Five of these generatingLagrangians are at most of second-order, while the sixth one is of third-order.However, the third-order Lagrangian differs from a non-conformally invariantsecond-order Lagrangian by a divergence. Consequently, all of the conformallyinvariant scalar-vector-tensor field theories that are consistent withconservation of charge, and flat space compatible, can be obtained from asecond-order Lagrangian. The vector equation of any such theory is at most ofsecond-order, and is an extension of Maxwell's equations, incorporating twoother first-order terms that vanish when the scalar field is constant. Hence inregions where the scalar field is constant, the vector equation reduces toMaxwell's.

Conformally Invariant Scalar-Vector-Tensor Field Theories Consistent with Conservation of Charge in a Four-Dimensional Space