A Note on UV/IR for Noncommutative Complex Scalar Field

Details A Note on UV/IR for Noncommutative Complex Scalar Field A Note on UV/IR for Noncommutative Complex Scalar Field

2000-01-31

arxiv.org/abs/hep-th/0001215v1

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 1 figure

Scientific paper

Noncommutative quantum field theory of a complex scalar field is considered. There is a two-coupling noncommutative analogue of U(1)-invariant quartic interaction $(\phi^*\phi)^2$, namely $A\phi^*\star\phi\star\phi^*\star\phi+ B\phi^*\star\phi^*\star\phi\star\phi$. 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.

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