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

Brandt, F. T.; Das, Ashok; Frenkel, J.

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

Authors

Brandt, F. T.

Das, Ashok

Frenkel, J.

Description

We study the IR/UV connection in non-commutative $ϕ^{3}$ 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.
10 pages