Abstract
We present the exact solution of a scalar field theory defined with noncommuting position and momentum variables. The model describes charged particles in a uniform magnetic field and with an interaction defined by the Groenewold-Moyal star-product. Explicit results are presented for all Green's functions in arbitrary even spacetime dimensionality. Various scaling limits of the field theory are analysed non-perturbatively and the renormalizability of each limit examined. A supersymmetric extension of the field theory is also constructed in which the supersymmetry transformations are parametrized by differential operators in an infinite-dimensional noncommutative algebra. © SISSA/ISAS 2004.
| Original language | English |
|---|---|
| Pages (from-to) | 365-433 |
| Number of pages | 69 |
| Journal | Journal of High Energy Physics |
| Volume | 8 |
| Issue number | 1 |
| Publication status | Published - 1 Jan 2004 |
Keywords
- Matrix Models
- Non-Commutative Geometry
- Renormalization Regularization and Renormalons