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

S. Bellucci·I. L. Buchbinder·V. A. Krykhtin
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Abstract

We consider the one-loop renormalization of dimension four composite operators and the energy-momentum tensor in noncommutative ϕ^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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S. Bellucci, I. L. Buchbinder, V. A. Krykhtin. 2003-03-21. Renormalization of the energy-momentum tensor in noncommutative scalar field theory. https://doi.org/10.1016/s0550-3213(03)00463-2

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