Translation-Invariant Noncommutative Renormalization

Translation-Invariant Noncommutative Renormalization

We review here the construction of a translation-invariant scalar model which was proved to be perturbatively renormalizable on Moyal space. Some general considerations on nonlocal renormalizability are given. Finally, we present perspectives for generalizing these quantum field theoretical techniqu...

Full description

Bibliographic Details
Main Author: Adrian Tanasa
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2010-06-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
noncommutative quantum field theory
Moyal space
locality
translation-invariance
Online Access:http://dx.doi.org/10.3842/SIGMA.2010.047
id doaj-965eccdfa42e43d8aa72e917e4b33db3
record_format Article
spelling doaj-965eccdfa42e43d8aa72e917e4b33db32020-11-24T22:56:04ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592010-06-016047Translation-Invariant Noncommutative RenormalizationAdrian TanasaWe review here the construction of a translation-invariant scalar model which was proved to be perturbatively renormalizable on Moyal space. Some general considerations on nonlocal renormalizability are given. Finally, we present perspectives for generalizing these quantum field theoretical techniques to group field theory, a new setting for quantum gravity.http://dx.doi.org/10.3842/SIGMA.2010.047noncommutative quantum field theoryMoyal spacelocalitytranslation-invariance
collection DOAJ
language English
format Article
sources DOAJ
author Adrian Tanasa
spellingShingle Adrian Tanasa
Translation-Invariant Noncommutative Renormalization
Symmetry, Integrability and Geometry: Methods and Applications
noncommutative quantum field theory
Moyal space
locality
translation-invariance
author_facet Adrian Tanasa
author_sort Adrian Tanasa
title Translation-Invariant Noncommutative Renormalization
title_short Translation-Invariant Noncommutative Renormalization
title_full Translation-Invariant Noncommutative Renormalization
title_fullStr Translation-Invariant Noncommutative Renormalization
title_full_unstemmed Translation-Invariant Noncommutative Renormalization
title_sort translation-invariant noncommutative renormalization
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2010-06-01
description We review here the construction of a translation-invariant scalar model which was proved to be perturbatively renormalizable on Moyal space. Some general considerations on nonlocal renormalizability are given. Finally, we present perspectives for generalizing these quantum field theoretical techniques to group field theory, a new setting for quantum gravity.
topic noncommutative quantum field theory
Moyal space
locality
translation-invariance
url http://dx.doi.org/10.3842/SIGMA.2010.047
work_keys_str_mv AT adriantanasa translationinvariantnoncommutativerenormalization
_version_ 1725655010430156800

Similar Items