Semantic Scholar Open Access 2012 72 sitasi

Some classes of renormalizable tensor models

J. B. Geloun E. Livine

Lihat Sumber DOI

Abstrak

We identify new families of renormalizable tensor models from anterior renormalizable tensor models via a mapping capable of reducing or increasing the rank of the theory without having an effect on the renormalizability property. Mainly, a version of the rank 3 tensor model as defined by Ben Geloun and Samary [Ann. Henri Poincare 14, 1599 (2013); e-print arXiv:1201.0176 [hep-th]]10.1007/s00023-012-0225-5 and the Grosse-Wulkenhaar model in 4D and 2D generate three different classes of renormalizable models. The proof of the renormalizability is fully performed for the first reduced model. The same procedure can be applied for the remaining cases. Interestingly, we find that, due to the peculiar behavior of anisotropic wave function renormalizations, the rank 3 tensor model reduced to a matrix model generates a simple super-renormalizable vector model.

Topik & Kata Kunci

Physics Mathematics

Penulis (2)

J. B. Geloun

E. Livine

Format Sitasi

APA MLA BibTeX

Geloun, J.B., Livine, E. (2012). Some classes of renormalizable tensor models. https://doi.org/10.1063/1.4818797

Akses Cepat

Lihat di Sumber doi.org/10.1063/1.4818797

Informasi Jurnal

Tahun Terbit: 2012
Bahasa: en
Total Sitasi: 72×
Sumber Database: Semantic Scholar
DOI: 10.1063/1.4818797
Akses: Open Access ✓