Renormalisation of ?4-Theory on Non-Commutative $$\mathbb{R}^{4}$$ to All Orders

Author:

Grosse Harald,Wulkenhaar Raimar

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference11 articles.

1. Seiberg, N. and Witten, E.: String theory and noncommutative geometry, JHEP 9909 (1999) 032 [arXiv:hep-th/9908142].

2. Minwalla, S., Van Raamsdonk, M. and Seiberg, N.: Noncommutative perturbative dynamics, JHEP 0002 (2000), 020 [arXiv:hep-th/9912072].

3. Chepelev, I. and Roiban, R.: Convergence theorem for non-commutative Feynman graphs and renormalization, JHEP 0103 (2001), 001 [arXiv:hep-th/0008090].

4. Grosse, H. and Wulkenhaar, R.: Renormalisation of ?4-theory on noncommutative $$\mathbb{R}^{4}$$ in the matrix base, arXiv:hep-th/0401128, to appear in Commun. Math. Phys.

5. Grosse, H. and Wulkenhaar, R.: Power-counting theorem for non-local matrix models and renormalisation, arXiv:hep-th/0305066, to appear in Commun. Math. Phys.

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