Noncommutative Field Theories and Smooth Commutative Limits
arXiv:hep-th/0006087 · doi:10.1103/PhysRevD.63.047701
Abstract
We consider two model field theories on a noncommutative plane that have smooth commutative limits. One is the single-component fermion theory with quartic interaction that vanishes identically in the commutative limit. The other is a scalar-fermion theory, which extends the scalar field theory with quartic interaction by adding a fermion. We compute the bound state energies and the two particle scattering amplitudes exactly.
8 pages, 2 figures
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