Renormalization of the energy-momentum tensor in noncommutative scalar field theory

Details Renormalization of the energy-momentum tensor in noncommutative scalar field theory Renormalization of the energy-momentum tensor in noncommutative scalar field theory

2003-03-21

arxiv.org/abs/hep-th/0303186v1

Nucl.Phys. B665 (2003) 402-424

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, pictures using axodraw

Scientific paper

10.1016/S0550-3213(03)00463-2

We consider the one-loop renormalization of dimension four composite operators and the energy-momentum tensor in noncommutative \phi^4 scalar field theory. Proper operator bases are constructed and it is proved that the bare composite operators are expressed via renormalized ones, with the help of a mixing matrix, whose explicit form is calculated. The corresponding matrix elements turn out to differ from the commutative theory. The canonically defined energy-momentum tensor is not finite and must be replaced by the "improved" one, in order to provide finiteness. The suitable "improving" terms are found.

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