Noncommutative Field Theory from Quantum Mechanical Space-Space Noncommutativity

Details Noncommutative Field Theory from Quantum Mechanical Space-Space Noncommutativity Noncommutative Field Theory from Quantum Mechanical Space-Space Noncommutativity

2007-09-21

arxiv.org/abs/0709.3499v1

Phys.Lett.A367:1-10,2007

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1016/j.physleta.2007.02.068

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 $\star$-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.

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