Charged-particle mechanics in Lie-Poisson electrodynamics is formulated with explicit gauge-invariant coordinates and action, and exact solutions are worked out for the λ-Minkowski and other cases.
Twisted BRST symmetry in gauge theories on $\kappa$-Minkowski
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abstract
Algebraic properties of the BRST symmetry associated to the twisted gauge symmetry occurring in the $\kappa$-Poincar\'e invariant gauge theories on the $\kappa$-Minkowski space are investigated. We find that the BRST operation associated to the gauge invariance of the action functional can be continuously deformed together with its corresponding Leibniz rule, into a nilpotent twisted BRST operation, leading to a twisted BRST symmetry algebra which may be viewed as a noncommutative analog of the usual Yang-Mills BRST algebra.
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Charged Particle in Lie-Poisson Electrodynamics
Charged-particle mechanics in Lie-Poisson electrodynamics is formulated with explicit gauge-invariant coordinates and action, and exact solutions are worked out for the λ-Minkowski and other cases.