IR-Singularities in Noncommutative Perturbative Dynamics?

IR-Singularities in Noncommutative Perturbative Dynamics?

We analyse the IR-singularities that appear in a noncommutative scalar quantum field theory on \(\mathcal{E}_4\). We demonstrate with the help of the quadratic one-loop effective action and an appropriate field redefinition that no IR-singularities exist. No new degrees of freedom are needed to desc...

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Veröffentlicht in:arXiv.org 2002-02
Hauptverfasser: Grimstrup, J M, Grosse, H, Popp, L, Putz, V, Schweda, M, Wickenhauser, M, Wulkenhaar, R
Format: Artikel
Sprache:eng
Schlagworte:
Field theory
Quantum field theory
Quantum theory
Singularities
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Zusammenfassung:We analyse the IR-singularities that appear in a noncommutative scalar quantum field theory on \(\mathcal{E}_4\). We demonstrate with the help of the quadratic one-loop effective action and an appropriate field redefinition that no IR-singularities exist. No new degrees of freedom are needed to describe the UV/IR-mixing.
ISSN:2331-8422
DOI:10.48550/arxiv.0202093