English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Renormalizable Group Field Theory beyond melons: an example in rank four

Carrozza, S., Lahoche, V., & Oriti, D. (2017). Renormalizable Group Field Theory beyond melons: an example in rank four. Physical Review D, 96: 066007. doi:10.1103/PhysRevD.96.066007.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-0A33-5 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E91D-8
Genre: Journal Article

Files

show Files
hide Files
:
1703.06729.pdf (Preprint), 2MB
Name:
1703.06729.pdf
Description:
File downloaded from arXiv at 2017-04-19 10:58
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
:
PRD.96.066007.pdf (Publisher version), 2MB
 
File Permalink:
-
Name:
PRD.96.066007.pdf
Description:
-
Visibility:
Restricted (Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam-Golm; )
MIME-Type / Checksum:
application/pdf
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
License:
-

Locators

show

Creators

show
hide
 Creators:
Carrozza, Sylvain1, Author              
Lahoche, Vincent, Author
Oriti, Daniele1, Author              
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

Content

show
hide
Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Abstract: We prove the renormalizability of a gauge-invariant, four-dimensional GFT model on SU(2), whose defining interactions correspond to necklace bubbles (found also in the context of new large-N expansions of tensor models), rather than melonic ones, which are not renormalizable in this case. The respective scaling of different interactions in the vicinity of the Gaussian fixed point is determined by the renormalization group itself. This is possible because of the appropriate notion of canonical dimension of the GFT coupling constants takes into account the detailed combinatorial structure of the individual interaction terms. This is one more instance of the peculiarity (and greater mathematical richness) of GFTs with respect to ordinary local quantum field theories. We also explore the renormalization group flow of the model at the non-perturbative level, using functional renormalization group methods, and identify a non-trivial fixed point in various truncations. This model is expected to have a similar structure of divergences as the GFT models of 4d quantum gravity, thus paving the way to more detailed investigations on them.

Details

show
hide
Language(s):
 Dates: 2017-03-202017
 Publication Status: Published in print
 Pages: 30 pages, 15 figures, 2 tables
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1703.06729
URI: http://arxiv.org/abs/1703.06729
DOI: 10.1103/PhysRevD.96.066007
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 96 Sequence Number: 066007 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258