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Asymptotic safety in three-dimensional SU(2) Group Field Theory: evidence in the local potential approximation
- Source :
- Class.Quant.Grav., Class.Quant.Grav., 2017, 34 (11), pp.115004. 〈10.1088/1361-6382/aa6d90〉, Class.Quant.Grav., 2017, 34 (11), pp.115004. ⟨10.1088/1361-6382/aa6d90⟩, Classical and Quantum Gravity, Classical and Quantum Gravity, IOP Publishing, 2017, 34 (11), pp.115004. ⟨10.1088/1361-6382/aa6d90⟩
- Publication Year :
- 2017
- Publisher :
- HAL CCSD, 2017.
-
Abstract
- We study the functional renormalization group of a three-dimensional tensorial Group Field Theory (GFT) with gauge group SU(2). This model generates (generalized) lattice gauge theory amplitudes, and is known to be perturbatively renormalizable up to order 6 melonic interactions. We consider a series of truncations of the exact Wetterich--Morris equation, which retain increasingly many perturbatively irrelevant melonic interactions. This tensorial analogue of the ordinary local potential approximation allows to investigate the existence of non-perturbative fixed points of the renormalization group flow. Our main finding is a candidate ultraviolet fixed point, whose qualitative features are reproduced in all the truncations we have checked (with up to order 12 interactions). This may be taken as evidence for an ultraviolet completion of this GFT in the sense of asymptotic safety. Moreover, this fixed point has a single relevant direction, which suggests the presence of two distinct infrared phases. Our results generally support the existence of GFT phases of the condensate type, which have recently been conjectured and applied to quantum cosmology and black holes.<br />Comment: 43 pages, many figures; v2: minor corrections
- Subjects :
- High Energy Physics - Theory
Physics and Astronomy (miscellaneous)
Lattice field theory
Asymptotic safety in quantum gravity
quantum cosmology
FOS: Physical sciences
General Relativity and Quantum Cosmology (gr-qc)
Fixed point
asymptotic safety
renormalizable
01 natural sciences
General Relativity and Quantum Cosmology
[ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th]
[ PHYS.GRQC ] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]
fixed point: nonperturbative
Gauge group
Lattice gauge theory
0103 physical sciences
black hole
Functional renormalization group
potential: local
potential: approximation
010306 general physics
Special unitary group
Mathematical physics
Physics
010308 nuclear & particles physics
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]
lattice field theory
16. Peace & justice
condensation
High Energy Physics - Theory (hep-th)
SU(2)
fixed point: ultraviolet
Group field theory
[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]
renormalization group: flow
field theory: group
Subjects
Details
- Language :
- English
- ISSN :
- 02649381 and 13616382
- Database :
- OpenAIRE
- Journal :
- Class.Quant.Grav., Class.Quant.Grav., 2017, 34 (11), pp.115004. 〈10.1088/1361-6382/aa6d90〉, Class.Quant.Grav., 2017, 34 (11), pp.115004. ⟨10.1088/1361-6382/aa6d90⟩, Classical and Quantum Gravity, Classical and Quantum Gravity, IOP Publishing, 2017, 34 (11), pp.115004. ⟨10.1088/1361-6382/aa6d90⟩
- Accession number :
- edsair.doi.dedup.....dffd99565f7bd87aa5691efe329790ac