String states, loops and effective actions in noncommutative field theory and matrix models

Refining previous work by Iso, Kawai and Kitazawa, we discuss bi-local string states as a tool for loop computations in noncommutative field theory and matrix models. Defined in terms of coherent states, they exhibit the stringy features of noncommutative field theory. This leads to a closed form fo...

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Main Author: Harold C. Steinacker
Format: Article
Language:English
Published: Elsevier 2016-09-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321316301717
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spelling doaj-315455d9204a414d8dfdd472c5923cb82020-11-24T22:55:26ZengElsevierNuclear Physics B0550-32131873-15622016-09-01910C34637310.1016/j.nuclphysb.2016.06.029String states, loops and effective actions in noncommutative field theory and matrix modelsHarold C. SteinackerRefining previous work by Iso, Kawai and Kitazawa, we discuss bi-local string states as a tool for loop computations in noncommutative field theory and matrix models. Defined in terms of coherent states, they exhibit the stringy features of noncommutative field theory. This leads to a closed form for the 1-loop effective action in position space, capturing the long-range non-local UV/IR mixing for scalar fields. The formalism applies to generic fuzzy spaces. The non-locality is tamed in the maximally supersymmetric IKKT or IIB model, where it gives rise to supergravity. The linearized supergravity interactions are obtained directly in position space at one loop using string states on generic noncommutative branes.http://www.sciencedirect.com/science/article/pii/S0550321316301717
collection DOAJ
language English
format Article
sources DOAJ
author Harold C. Steinacker
spellingShingle Harold C. Steinacker
String states, loops and effective actions in noncommutative field theory and matrix models
Nuclear Physics B
author_facet Harold C. Steinacker
author_sort Harold C. Steinacker
title String states, loops and effective actions in noncommutative field theory and matrix models
title_short String states, loops and effective actions in noncommutative field theory and matrix models
title_full String states, loops and effective actions in noncommutative field theory and matrix models
title_fullStr String states, loops and effective actions in noncommutative field theory and matrix models
title_full_unstemmed String states, loops and effective actions in noncommutative field theory and matrix models
title_sort string states, loops and effective actions in noncommutative field theory and matrix models
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2016-09-01
description Refining previous work by Iso, Kawai and Kitazawa, we discuss bi-local string states as a tool for loop computations in noncommutative field theory and matrix models. Defined in terms of coherent states, they exhibit the stringy features of noncommutative field theory. This leads to a closed form for the 1-loop effective action in position space, capturing the long-range non-local UV/IR mixing for scalar fields. The formalism applies to generic fuzzy spaces. The non-locality is tamed in the maximally supersymmetric IKKT or IIB model, where it gives rise to supergravity. The linearized supergravity interactions are obtained directly in position space at one loop using string states on generic noncommutative branes.
url http://www.sciencedirect.com/science/article/pii/S0550321316301717
work_keys_str_mv AT haroldcsteinacker stringstatesloopsandeffectiveactionsinnoncommutativefieldtheoryandmatrixmodels
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