62 citations · 152 across the 17 of their papers we have counts for
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On Lagrangian and non-Lagrangian conformal-invariant nonlinear electrodynamics
Steven Duplij, Gerald A. Goldin, Vladimir M. Shtelen
A general approach is presented to describing nonlinear classical Maxwell electrodynamics with conformal symmetry. We introduce generalized nonlinear constitutive equations, expres…
Conformal symmetry transformations and nonlinear Maxwell equations
Gerald A. Goldin, Vladimir M. Shtelen, Steven Duplij
We make use of the conformal compactification of Minkowski spacetime to explore a way of describing general, nonlinear Maxwell fields with conformal symmetry. We distingui…
Conformal inversion and Maxwell field invariants in four- and six-dimensional spacetimes
Steven Duplij, Gerald A. Goldin, Vladimir Shtelen
Conformally compactified (3+1)-dimensional Minkowski spacetime may be identified with the projective light cone in (4+2)-dimensional spacetime. In the latter spacetime the special…
Generalizations of Nonlinear and Supersymmetric Classical Electrodynamics
Steven Duplij, Gerald A. Goldin, Vladimir M. Shtelen
We first write down a very general description of nonlinear classical electrodynamics, making use of generalized constitutive equations and constitutive tensors. Our approach inclu…
Worldsheet Instantons and a Null String Limit of Born-Infeld Theory
Gerald A. Goldin, Nick E. Mavromatos, Richard J. Szabo
For a superstring theory in four spacetime dimensions, we propose a modification of the Born-Infeld action that possesses a well-defined tensionless limit. We interpret this as des…
Local Currents for a Deformed Algebra of Quantum Mechanics with a Fundamental Length Scale
Gerald A. Goldin, Sarben Sarkar
We explore some explicit representations of a certain stable deformed algebra of quantum mechanics, considered by R. Vilela Mendes, having a fundamental length scale. The relation…
Generalizations of Yang-Mills Theory with Nonlinear Constitutive Equations
Gerald A. Goldin, Vladimir Shtelen
We generalize classical Yang-Mills theory by extending nonlinear constitutive equations for Maxwell fields to non-Abelian gauge groups. Such theories may or may not be Lagrangian.…
On the Fock space for nonrelativistic anyon fields and braided tensor products
G. A. Goldin, S. Majid
We realize the physical N-anyon Hilbert spaces, introduced previously via unitary representations of the group of diffeomorphisms of the plane, as N-fold braided-symmetric tensor p…