Noncommutative 3-colour scalar quantum field theory model in 2D

@article{Hock2018Noncommutative3S,
  title={Noncommutative 3-colour scalar quantum field theory model in 2D},
  author={A. Hock and R. Wulkenhaar},
  journal={The European Physical Journal C},
  year={2018},
  volume={78},
  pages={1-12}
}
  • A. Hock, R. Wulkenhaar
  • Published 2018
  • Physics, Mathematics
  • The European Physical Journal C
  • We introduce the 3-colour noncommutative quantum field theory model in two dimensions. For this model we prove a generalised Ward–Takahashi identity, which is special to coloured noncommutative QFT models. It reduces to the usual Ward–Takahashi identity in a particular case. The Ward–Takahashi identity is used to simplify the Schwinger–Dyson equations for the 2-point function and the N-point function. The absence of any renormalisation conditions in the large $$(\mathcal {N},V)$$(N,V)-limit in… CONTINUE READING

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 18 REFERENCES
    Renormalisation of ϕ4-Theory on Noncommutative ℝ4 in the Matrix Base
    363
    Exact solution of matricial Φ23 quantum field theory
    12
    Renormalization of the noncommutative ϕ3 model through the Kontsevich model
    49
    Self-dual noncommutative φ-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory
    17
    Nonperturbative two-dimensional quantum gravity.
    391
    Strings in Less Than One-Dimension
    464
    PROPERTIES OF HERMITIAN MATRIX MODELS IN AN EXTERNAL FIELD
    27
    Vanishing of beta function of non-commutative Φ 4 4 theory to all orders
    171
    Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces
    119