Noncommutative Field Theory from Quantum Mechanical Space-Space Noncommutativity
arXiv:0709.3499 · doi:10.1016/j.physleta.2007.02.068
Abstract
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.
13 pages
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Cited by in corpus (13)
- Probing phase-space noncommutativity through quantum beating, missing information and the thermodynamic limit
- Tensor Operators in Noncommutative Quantum Mechanics
- Probing phase-space noncommutativity through quantum mechanics and thermodynamics of free particles and quantum rotors
- Phase-space noncommutative extension of the Robertson-Schroedinger formulation of Ozawa's uncertainty principle
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- Noncommutative relativistic particles
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- The Noncommutative Doplicher-Fredenhagen-Roberts-Amorim Space
- Gaussian fidelity distorted by external fields
- Coherent quantum squeezing due to the phase space noncommutativity
- Emergent time crystals from phase-space noncommutative quantum mechanics