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

The dressing field method is a tool to reduce gauge symmetries. Here weextend it to cover the case of diffeomorphisms. The resulting framework is asystematic scheme to produce Diff(M)-invariant objects, which has a naturalrelational interpretation.  Its precise formulation relies on a clear understanding of the bundlegeometry of field space. By detailing it, among other things we stress thegeometric nature of field-independent and field-dependent diffeomorphisms, andelucidate the origin of the heuristic "extended bracket" for field-dependentvector fields often appearing in the covariant phase space literature.Furthermore, by articulating this bundle geometry with the covariant phasespace approach, we give a streamlined account of the elementary objects of the(pre)symplectic structure of a Diff(M)-theory: Noether charges and theirbracket, as induced by the standard prescription for the presymplecticpotential and 2-form. We give conceptually transparent expressions allowing toread the integrability conditions and the circumstances under which the bracketof charge is Lie, and the resulting Poisson algebras of charges are centralextensions of the Lie algebras of field-independent ($\mathfrak{diff}(M)$) andfield-dependent vector fields.  We show that, applying the dressing field method, one obtains aDiff(M)-invariant and manifestly relational formulation of a generalrelativistic field theory. Relying on results just mentioned, we easily derivethe "dressed" (relational) presymplectic structure of the theory. Thisreproduces or extends results from the gravitational edge mode andgravitational dressing literature. In addition to simplified technicalderivations, the conceptual clarity of the framework supplies several insightsand allows us to dispel misconceptions.

The dressing field method for diffeomorphisms: a relational framework