Fundamentals on the Noncommutative Plane

Details Fundamentals on the Noncommutative Plane Fundamentals on the Noncommutative Plane

2001-03-02

arxiv.org/abs/hep-th/0103012v2

JHEP 0104:039,2001

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 25 pages, 8 figures; revised version

Scientific paper

10.1088/1126-6708/2001/04/039

We consider the addition of charged matter (``fundametals'') to noncommutative Yang-Mills theory and noncommutative QED, derive Feynman rules and tree-level potentials for them, and study the divergence structure of the theory. These particles behave very much as they do in the commutative theory, except that (1) they occupy bound-state wavefunctions which are essentially those of charged particles in magnetic fields, and (2) there is slight momentum nonconservation at vertices. There is no reduction in the degree of divergence of charged fermion loops like that which affects nonplanar noncommutative Yang-Mills diagrams.

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