41 citations · 175 across the 19 of their papers we have counts for
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Space-Time Diffeomorphisms in Noncommutative Gauge Theories
Marcos Rosenbaum, J. David Vergara, L. Roman Juarez
In previous work [Rosenbaum M. et al., J. Phys. A: Math. Theor. 40 (2007), 10367-10382, hep-th/0611160] we have shown how for canonical parametrized field theories, where space-tim…
Noncommutative Field Theory from Quantum Mechanical Space-Space Noncommutativity
Marcos Rosenbaum, J. David Vergara, L. Roman Juarez
We investigate the incorporation of space noncommutativity into field theory by extending to the spectral continuum the minisuperspace action of the quantum mechanical harmonic osc…
Canonical Quantization, Space-Time Noncommutativity and Deformed Symmetries in Field Theory
Marcos Rosenbaum, J. David Vergara, L. Roman Juarez
Within the spirit of Dirac's canonical quantization, noncommutative spacetime field theories are introduced by making use of the reparametrization invariance of the action and of a…
Noncommutativity from Canonical and Noncanonical Structures
Marcos Rosenbaum, J. David Vergara, L. Román Juárez
Using arbitrary symplectic structures and parametrization invariant actions, we develop a formalism, based on Dirac's quantization procedure, that allows us to consider theories wi…
Dynamical origin of the -noncommutativity in field theory from quantum mechanics
Marcos Rosenbaum, J. David Vergara, L. Román Juárez
We show that introducing an extended Heisenberg algebra in the context of the Weyl-Wigner-Groenewold-Moyal formalism leads to a deformed product of the classical dynamical variable…
The -value Equation and Wigner Distributions in Noncommutative Heisenberg algebras
Marcos Rosenbaum, J. David Vergara
We consider the quantum mechanical equivalence of the Seiberg-Witten map in the context of the Weyl-Wigner-Groenewold-Moyal phase-space formalism in order to construct a quantum me…