# 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}
}
• 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

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