Dimensional regularization and renormalization of non-commutative QFT

Physics – Mathematical Physics

Scientific paper

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31 pages, 8 figures

Scientific paper

10.1007/s00023-008-0363-y

Using the recently introduced parametric representation of non-commutative
quantum field theory, we implement here the dimensional regularization and
renormalization of the vulcanized $\Phi^{\star 4}_4$ model on the Moyal space.

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