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12 papers · 2 filters
Group Quantization on Configuration Space: Gauge Symmetries and Linear Fields
M. Navarro, V. Aldaya, M. Calixto
A new, configuration-space picture of a formalism of group quantization, the GAQ formalism, is presented in the context of a previous, algebraic generalization. This presentation s…
Relativistic field equations from higher-order polarizations of the Poincaré group
Miguel Navarro, Manuel Calixto, Víctor Aldaya
The theory of free relativistic fields is shown to arise in a unified manner from higher-order, configuration-space, irreducible representations of the Poincaré group. A de Sitter…
The Z_2-graded Schouten-Nijenhuis bracket and generalized super-Poisson structures
J. A. de Azcarraga, J. M. Izquierdo, A. M. Perelomov +1
The super or Z_2-graded Schouten-Nijenhuis bracket is introduced. Using it, new generalized super-Poisson structures are found which are given in terms of certain graded-skew-symme…
Dynamical Abelian Projection of Gluodynamics
Sergei V. Shabanov
Assuming the monopole dominance, that has been proved in the lattice gluodynamics, to hold in the continuum limit, we develop an effective scalar field theory for QCD at large dist…
Geometrical foundations of fractional supersymmetry
R. S. Dunne, A. J. Macfarlane, J. A. de Azcárraga +1
A deformed -calculus is developed on the basis of an algebraic structure involving graded brackets. A number operator and left and right shift operators are constructed for this…
The Electromagnetic and Proca Fields Revisited: a Unified Quantization
V. Aldaya, M. Calixto, M. Navarro
Quantizing the electromagnetic field with a group formalism faces the difficulty of how to turn the traditional gauge transformation of the vector potential, $A_μ(x)\rightarrow A_μ…