840 research outputs found
Quantum field theory on the degenerate Moyal space
We prove that the self-interacting scalar field on the four-dimensional
degenerate Moyal plane is renormalisable to all orders when adding a suitable
counterterm to the Lagrangean. Despite the apparent simplicity of the model, it
raises several non trivial questions. Our result is a first step towards the
definition of renormalisable quantum field theories on a non-commutative
Minkowski space.Comment: 21 pages, 4 figures. We use the techniques of the previous version in
a conclusive manner on the degenerate Moyal spac
Matching gluon scattering amplitudes and Wilson loops in off-shell regularization
We construct a regularization for light-like polygonal Wilson loops in SYM, which matches them to the off-shell MHV gluon scattering amplitudes.
Explicit calculations are performed for the 1-loop four gluon case. The off
light cone extrapolation has to be based on the local supersymmetric Wilson
loop. The observed matching concerns Feynman gauge. Furthermore, the leading
infrared divergent term is shown to be gauge parameter independent on 1-loop
level.Comment: 7 pages, 2 figures, typo correcte
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