Noncommutative Field Theory from Quantum Mechanical Space-Space Noncommutativity

Rosenbaum, Marcos; Vergara, J. David; Juarez, L. Roman

Noncommutative Field Theory from Quantum Mechanical Space-Space Noncommutativity

Authors

Rosenbaum, Marcos

Vergara, J. David

Juarez, L. Roman

Description

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.
13 pages