Semantic Scholar Open Access 2012 102 sitasi

Two- and four-loop β-functions of rank-4 renormalizable tensor field theories

J. B. Geloun

Lihat Sumber DOI

Abstrak

A recent rank-4 tensor field model generating 4D simplicial manifolds has been proved to be renormalizable at all orders of perturbation theory (Ben Geloun and Rivasseau 2011 arXiv:1111.4997 [hep-th]). The model is built out of ϕ6 (ϕ6(1/2)), ϕ4 (ϕ4(1)) interactions and an anomalous term (ϕ4(2)). The β-functions of this model are evaluated at two and four loops. We find that the model is asymptotically free in the UV for both the main ϕ6(1/2) interactions, whereas it is safe in the ϕ4(1) sector. The remaining anomalous term turns out to possess a Landau ghost.

Topik & Kata Kunci

Physics Mathematics

Penulis (1)

J. B. Geloun

Format Sitasi

APA MLA BibTeX

Geloun, J.B. (2012). Two- and four-loop β-functions of rank-4 renormalizable tensor field theories. https://doi.org/10.1088/0264-9381/29/23/235011

Akses Cepat

Lihat di Sumber doi.org/10.1088/0264-9381/29/23/235011

Informasi Jurnal

Tahun Terbit: 2012
Bahasa: en
Total Sitasi: 102×
Sumber Database: Semantic Scholar
DOI: 10.1088/0264-9381/29/23/235011
Akses: Open Access ✓