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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In the case of gauge theories, which are ruled by an infinite-dimensionalinvariance group, various choices of antisymmetric bilinear maps on fieldfunctionals are indeed available. This paper proves first that, within thisbroad framework, the Peierls map (not yet the bracket) is a member of a largerfamily. At that stage, restriction to gauge-invariant functionals of thefields, with the associated Ward identities and geometric structure of thespace of histories, make it possible to prove that the new map is indeed aPoisson bracket in the simple but relevant case of Maxwell theory. The buildingblocks are available for gauge theories only: vector fields that leave theaction functional invariant; the invertible gauge-field operator, and the Greenfunction of the ghost operator.

A new antisymmetric bilinear map for type-I gauge theories