A Note on UV/IR for Noncommutative Complex Scalar Field

Aref'eva, I. Ya.; Belov, D. M.; Koshelev, A. S.

A Note on UV/IR for Noncommutative Complex Scalar Field

Authors

Aref'eva, I. Ya.

Belov, D. M.

Koshelev, A. S.

Description

Noncommutative quantum field theory of a complex scalar field is considered. There is a two-coupling noncommutative analogue of U(1)-invariant quartic interaction $(ϕ^*ϕ)^2$, namely $Aϕ^*\starϕ\starϕ^*\starϕ+ Bϕ^*\starϕ^*\starϕ\starϕ$. For arbitrary values of $A$ and $B$ the model is nonrenormalizable. However, it is one-loop renormalizable in two special cases: B=0 and $A=B$. Furthermore, in the case B=0 the model does not suffer from IR divergencies at least at one-loop insertions level.
5 pages, 1 figure