2007/02/26 by M. Rosenbaum, Marcos Rosenbaum, J. David Vergara +2
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Field (mathematics) #Harmonic oscillator #Mathematical physics #Mathematics #Minisuperspace #Noncommutative algebraic geometry #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Operator algebra #Physics #Propagator #Pure mathematics #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum cosmology #Quantum differential calculus #Quantum field theory #Quantum gravity #Quantum mechanics #Space (punctuation) #hep-th
paper · pdf · doi:10.1016/j.physleta.2007.02.068
published as Phys.Lett.A367:1-10,2007 · 13 pages
openalex publication_date 2007/02/26 · arxiv created 2007/09/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the incorporation of space noncommutativity into field theory by extending to the spectral continuum the minisuperspace action of the quantum mechanical harmonic oscillator propagator with an enlarged Heisenberg algebra. In addition to the usual ⋆-product deformation of the algebra of field functions, we show that the parameter of noncommutativity can occur in noncommutative field theory even in the case of free fields without self-interacting potentials.