Abstract
Abstract
We construct and analyze a phase diagram of a self-interacting matrix field coupled to curvature of the non-commutative truncated Heisenberg space. The model reduces to the renormalizable Grosse-Wulkenhaar model in an infinite matrix size limit and exhibits a purely non-commutative non-uniformly ordered phase. Particular attention is given to scaling of model’s parameters. We additionally provide the infinite matrix size limit for the disordered to ordered phase transition line.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference48 articles.
1. H. S. Snyder, Quantized space-time, Phys. Rev. 71 (1947) 38 [INSPIRE].
2. J. Bellissard, A. van Elst and H. Schulz-Baldes, The noncommutative geometry of the quantum Hall effect, J. Math. Phys. 35 (1994) 5373 [cond-mat/9411052].
3. K. Fujii, From quantum optics to non-commutative geometry: a non-commutative version of the Hopf bundle, Veronese mapping and spin representation, quant-ph/0502174 [INSPIRE].
4. N. Seiberg and E. Witten, String theory and noncommutative geometry, JHEP 09 (1999) 032 [hep-th/9908142] [INSPIRE].
5. L. Freidel, R. G. Leigh and D. Minić, Intrinsic non-commutativity of closed string theory, JHEP 09 (2017) 060 [arXiv:1706.03305] [INSPIRE].
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献