Dispersion relations for the self-energy in non-commutative field theories

Details Dispersion relations for the self-energy in non-commutative field theories Dispersion relations for the self-energy in non-commutative field theories

2002-06-07

arxiv.org/abs/hep-th/0206058v1

Phys.Rev.D66:065017,2002

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1103/PhysRevD.66.065017

We study the IR/UV connection in non-commutative $\phi^{3}$ theory as well as in non-commutative QED from the point of view of the dispersion relation for the self-energy. We show that, although the imaginary part of the self-energy is well behaved as the parameter of non-commutativity vanishes, the real part becomes divergent as a consequence of the high energy behavior of the dispersion integral. Some other interesting features that arise from this analysis are also briefly discussed.

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