Back to Search
Start Over
Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory
- Source :
- Phys. Rev. D 100, 086009 (2019)
- Publication Year :
- 2019
-
Abstract
- The nontrivial fixed point discovered for $\phi^4$-marginal couplings in tensorial group field theories have been showed to be incompatible with Ward-Takahashi identities. In this previous analysis we have stated that the case of models with interactions of order greater than four could probably lead to a fixed point compatible with local Ward's identities. In this paper we focus on a rank-4 Abelian $\phi^6$-just renormalizable tensorial group field theory and describe the renormalization group flow over the sub-theory space where Ward constraint is satisfied along the flow, by using an improved version of the effective vertex expansion. We show that this model exhibit a nontrivial fixed points in this constrained subspace. Finally, the well-known asymptotically freedom of this model is highlighted.<br />Comment: 35 pages
- Subjects :
- High Energy Physics - Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. D 100, 086009 (2019)
- Publication Type :
- Report
- Accession number :
- edsarx.1908.03910
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.100.086009