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

We discuss the symmetry properties of the reparametrization invariant modelof an interacting relativistic particle where the electromagnetic field istaken as the constant background field. The direct coupling between therelativistic particle and the electromagnetic {\it gauge} field is a specialcase of the above with a specific set of subtleties involved in it. For theabove model, we demonstrate the existence of a time-space noncommutativity (NC)in the spacetime structure from the symmetry considerations alone. We furthershow that the NC and commutativity properties of this model are differentaspects of a unique continuous {\it gauge} symmetry that is derived from thenon-standard gauge-type symmetry transformations by requiring their consistencywith (i) the equations of motion, and (ii) the expressions for the canonicalmomenta, derived from the Lagrangians. We provide a detailed discussion on thenoncommutative deformation of the Poincar{\'e} algebra.Comment: LaTeX file, 23 pages, journal reference is give

INTERACTING RELATIVISTIC PARTICLE: TIME–SPACE NONCOMMUTATIVITY AND SYMMETRIES