Noncommutative Field Theory from Quantum Mechanical Space-Space Noncommutativity
Preprint
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 $\star$-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.Keywords
All Related Versions
- Version 1, 2007-09-21, ArXiv
- Published version: Physics Letters A, 367 (1-2), 1.
This publication has 2 references indexed in Scilit:
- Gauge theory on a quantum phase spacePhysics Letters B, 2001
- Field Theory: A Modern PrimerPhysics Today, 1982