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Exact solution of quantum field theory on noncommutative phase spaces
| Venue: | 017, 2004, hep-th/0308043. – 43 |
| Citations: | 56 - 6 self |
BibTeX
@INPROCEEDINGS{Langmann_exactsolution,
author = {E. Langmann and R. J. Szabo and K. Zarembo and In Ian and I. Kogan},
title = {Exact solution of quantum field theory on noncommutative phase spaces},
booktitle = {017, 2004, hep-th/0308043. – 43},
year = {}
}
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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.
Keyphrases
exact solution quantum field theory noncommutative phase space field theory differential operator supersymmetric extension noncommuting position green function explicit result spacetime dimensionality momentum variable groenewold-moyal star-product scalar field theory infinite-dimensional noncommutative algebra uniform magnetic field supersymmetry transformation
