Corpus ID: 7376836

Renormalization of Non-Commutative Φ 44 Field Theory in x Space

@inproceedings{Gurau2008RenormalizationON,
  title={Renormalization of Non-Commutative Φ 44 Field Theory in x Space},
  author={Gurau and Magnen and Rivasseau and Vignes-Tourneret},
  year={2008}
}
  • Gurau, Magnen, +1 author Vignes-Tourneret
  • Published 2008
  • In this paper we provide a new proof that the Grosse-Wulkenhaar noncommutative scalar Φ4 theory is renormalizable to all orders in perturbation theory, and extend it to more general models with covariant derivatives. Our proof relies solely on a multiscale analysis in x space. We think this proof is simpler and could be more adapted to the future study of these theories (in particular at the non-perturbative or constructive level). 

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 19 REFERENCES
    Propagators for Noncommutative Field Theories
    • 36
    • Highly Influential
    • Open Access
    Renormalisation of ϕ4-Theory on Noncommutative ℝ4 in the Matrix Base
    • 363
    • Highly Influential
    • Open Access
    Duality in scalar field theory on noncommutative phase spaces
    • 202
    • Open Access
    Renormalization theory in four-dimensional scalar fields (I)
    • 110
    • Open Access
    Divergencies in a field theory on quantum space
    • 458
    • Highly Influential
    Renormalisation of Noncommutative ϕ4-Theory by Multi-Scale Analysis
    • 125
    • Highly Influential
    • Open Access
    String theory and noncommutative geometry
    • 3,663
    • Open Access
    Noncommutative field theory
    • 1,651
    • Open Access
    Convergence theorem for non-commutative Feynman graphs and renormalization
    • 123
    • Highly Influential
    • Open Access
    Non-commutative Renormalization
    • 122
    • Open Access