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

It is considered a dimensional reduction of Ue(1)xUg(1) 3+1-dimensionalelectromagnetism with a gauge field (photon) and a pseudo-vector gauge field(pseudo-photon) to 2+1-dimensions. In the absence of boundary effects, thequantum structure is maintained, while when boundary effects are considered, ashave been previously studied, a cross Chern-Simons term between both gaugefields is present, which accounts for topological effects and changes thequantum structure of the theory. Our construction maintains the dimensionalreduced action invariant under parity (P) and time-inversion (T). We show thatthe theory has two massive degrees of freedom, corresponding to thelongitudinal modes of the photon and of the pseudo-photon and briefly discussthe quantization procedures of the theory in the topological limit (wavefunctional quantization) and perturbative limit (an effective dynamical currenttheory), pointing out directions to solve the constraints and deal with thenegative energy contributions from pseudo-photons. We recall that the physicalinterpretation of the fields in the planar system is new and is only meaningfulin the context of Ue(1)xUg(1) electromagnetism. In this work it is shown thatall the six electromagnetic vectorial fields components are present in thedimensional reduced theory and that, independently of the embedding of theplanar system, can be described in terms of the two gauge fields only. As faras the author is aware it is the first time that such a construction is fullyjustified, thus allowing a full vectorial treatment at variational level ofelectromagnetism in planar systems.Comment: 8 pages, 1 figur

U e (1) × U g (1) actions in (2+1) dimensions: Full vectorial electric and magnetic fields

U _e (1) × U _g (1) actions in (2+1) dimensions: Full vectorial electric and magnetic fields